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Gahô worked closely with his father in his youth, and succeeded him as both head of the Hayashi family, and of the family's Confucian academy, upon Razan's death in [[1657]].

Gahô worked closely with his father in his youth, and succeeded him as both head of the Hayashi family, and of the family's Confucian academy, upon Razan's death in [[1657]].

The Confucian academy founded by Razan in [[1630]] was formally recognized by the shogunate with the name Kôbun-in (roughly, "Institute of Broad/Vast Culture/Letters") during Gahô's time, and Gahô himself was named ''kôbun-in gakushi'' ("scholar of the Kôbun-in"). He added a dormitory to the academy and began taking on his own disciples in earnest in [[1663]].

The Confucian academy founded by Razan in [[1630]] was formally recognized by the shogunate with the name Kôbun-in (roughly, "Institute of Broad/Vast Culture/Letters") during Gahô's time, and Gahô himself was named ''kôbun-in gakushi'' ("scholar of the Kôbun-in"). He added a dormitory to the academy and began taking on his own disciples in earnest in [[1663]]. His office was also granted the title of ''Kokushikan'', or "Hall for the [Compilation of] the National History."<ref>Luke Roberts, ''Performing the Great Peace'', University of Hawaii Press (2012), 175.</ref>

He is known for a number of notable scholarly works, including the 310-volume ''[[Honcho tsugan|Honchô tsugan]]'', begun by Razan and completed by Gahô in [[1670]]; the ''[[Kan'ei shoka keizuden]]'' ("Genealogies of the Houses of the Kan'ei Era"), on which he worked alongside his father in [[1641]]-[[1643]]<ref>Mary Elizabeth Berry, ''Japan in Print''. University of California Press, 2006. pp113-115.; "[http://kotobank.jp/word/%E5%AF%9B%E6%B0%B8%E8%AB%B8%E5%AE%B6%E7%B3%BB%E5%9B%B3%E4%BC%9D Kan'ei shoka keizuden]." ''Digital Daijisen''. Shogakukan, Inc.</ref>; the preface to the ''[[Honcho gashi|Honchô gashi]]'' ("History of Paintings of the Realm")<ref>"[http://www.aisf.or.jp/~jaanus/deta/h/honchougashi.htm Honchou Gashi]." ''JAANUS: Japan Architecture and Art Net Users System''. 2001. Accessed 30 December 2011.</ref>; and ''[[Ka'i hentai]]'', a work on foreign peoples and foreign relations, begun in [[1674]].

He is known for a number of notable scholarly works, including the 310-volume ''[[Honcho tsugan|Honchô tsugan]]'', begun by Razan and completed by Gahô in [[1670]]; the ''[[Kan'ei shoka keizuden]]'' ("Genealogies of the Houses of the Kan'ei Era"), on which he worked alongside his father in [[1641]]-[[1643]]<ref>Mary Elizabeth Berry, ''Japan in Print''. University of California Press, 2006. pp113-115.; "[http://kotobank.jp/word/%E5%AF%9B%E6%B0%B8%E8%AB%B8%E5%AE%B6%E7%B3%BB%E5%9B%B3%E4%BC%9D Kan'ei shoka keizuden]." ''Digital Daijisen''. Shogakukan, Inc.</ref>; the preface to the ''[[Honcho gashi|Honchô gashi]]'' ("History of Paintings of the Realm")<ref>"[http://www.aisf.or.jp/~jaanus/deta/h/honchougashi.htm Honchou Gashi]." ''JAANUS: Japan Architecture and Art Net Users System''. 2001. Accessed 30 December 2011.</ref>; and ''[[Ka'i hentai]]'', a work on foreign peoples and foreign relations, begun in [[1674]].