{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:BXBXEXWJH36IW3K5MY2E2MVWVP","short_pith_number":"pith:BXBXEXWJ","canonical_record":{"source":{"id":"2206.00863","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-06-02T04:04:34Z","cross_cats_sorted":["q-bio.MN"],"title_canon_sha256":"8aa92824a2e2ea8e4097cc6c8137ab8ddc84401cc1733186d4480ab05a746d4b","abstract_canon_sha256":"b9021b6415f094fb97ae82ffc59d734b645d32989c6dbf884c2349692f3bb332"},"schema_version":"1.0"},"canonical_sha256":"0dc3725ec93efc8b6d5d66344d32b6abe2ef3a46ebe9aa6ceb9f8be7b69bf3b9","source":{"kind":"arxiv","id":"2206.00863","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.00863","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"arxiv_version","alias_value":"2206.00863v1","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.00863","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"pith_short_12","alias_value":"BXBXEXWJH36I","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"pith_short_16","alias_value":"BXBXEXWJH36IW3K5","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"pith_short_8","alias_value":"BXBXEXWJ","created_at":"2026-07-05T04:28:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:BXBXEXWJH36IW3K5MY2E2MVWVP","target":"record","payload":{"canonical_record":{"source":{"id":"2206.00863","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-06-02T04:04:34Z","cross_cats_sorted":["q-bio.MN"],"title_canon_sha256":"8aa92824a2e2ea8e4097cc6c8137ab8ddc84401cc1733186d4480ab05a746d4b","abstract_canon_sha256":"b9021b6415f094fb97ae82ffc59d734b645d32989c6dbf884c2349692f3bb332"},"schema_version":"1.0"},"canonical_sha256":"0dc3725ec93efc8b6d5d66344d32b6abe2ef3a46ebe9aa6ceb9f8be7b69bf3b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:28:34.474406Z","signature_b64":"aKwpktLdY9VIeSD8e99HlGWNYPresLRQmAcWGm0NWoWJ4XflWXmOPer6/9OH40JJMY7OyyP/ar3BEpkwgvFmAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0dc3725ec93efc8b6d5d66344d32b6abe2ef3a46ebe9aa6ceb9f8be7b69bf3b9","last_reissued_at":"2026-07-05T04:28:34.473931Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:28:34.473931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.00863","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:28:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HojTE8T+vA/+xsN8yEFztw1bYbVdx2M3JpcsCuk2nxD8zS5amXDj+Hiz27mB/4yDY3eBaSwzWu/c4pozjlA8Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T16:49:49.531465Z"},"content_sha256":"c62e29eab51fb178186ea1c0f10ebfb00a978c929eed08e8e4b7be5fe9a7e1ea","schema_version":"1.0","event_id":"sha256:c62e29eab51fb178186ea1c0f10ebfb00a978c929eed08e8e4b7be5fe9a7e1ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:BXBXEXWJH36IW3K5MY2E2MVWVP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry of Nonequilibrium Chemical Reaction Networks and Generalized Entropy Production Decompositions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"physics.chem-ph","authors_text":"Atsushi Kamimura, Dimitri Loutchko, Tetsuya J. Kobayashi, Yuki Sughiyama","submitted_at":"2022-06-02T04:04:34Z","abstract_excerpt":"We derive the Hessian geometric structure of nonequilibrium chemical reaction networks (CRN) on the flux and force spaces induced by the Legendre duality of convex dissipation functions and characterize their dynamics as a generalized flow. With this structure, we can extend theories of nonequilibrium systems with quadratic dissipation functions to more general ones with nonquadratic ones, which are pivotal for studying chemical reaction networks. By applying generalized notions of orthogonality in Hessian geometry to chemical reaction networks, we obtain two generalized decompositions of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.00863","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.00863/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:28:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LVcrBUAUovu/L29xqObGH0fbMtSJUKa7RBExWf6PvSYOm9dA73kwCjLFtXu7WbbPXoS8ih7cQeD1gLNtfHm3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T16:49:49.532407Z"},"content_sha256":"305934e56699f190e7b9e6f19d9d476b00f65bef6a3df20cdf9c26658a89d94d","schema_version":"1.0","event_id":"sha256:305934e56699f190e7b9e6f19d9d476b00f65bef6a3df20cdf9c26658a89d94d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BXBXEXWJH36IW3K5MY2E2MVWVP/bundle.json","state_url":"https://pith.science/pith/BXBXEXWJH36IW3K5MY2E2MVWVP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BXBXEXWJH36IW3K5MY2E2MVWVP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-10T16:49:49Z","links":{"resolver":"https://pith.science/pith/BXBXEXWJH36IW3K5MY2E2MVWVP","bundle":"https://pith.science/pith/BXBXEXWJH36IW3K5MY2E2MVWVP/bundle.json","state":"https://pith.science/pith/BXBXEXWJH36IW3K5MY2E2MVWVP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BXBXEXWJH36IW3K5MY2E2MVWVP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BXBXEXWJH36IW3K5MY2E2MVWVP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b9021b6415f094fb97ae82ffc59d734b645d32989c6dbf884c2349692f3bb332","cross_cats_sorted":["q-bio.MN"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-06-02T04:04:34Z","title_canon_sha256":"8aa92824a2e2ea8e4097cc6c8137ab8ddc84401cc1733186d4480ab05a746d4b"},"schema_version":"1.0","source":{"id":"2206.00863","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.00863","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"arxiv_version","alias_value":"2206.00863v1","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.00863","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"pith_short_12","alias_value":"BXBXEXWJH36I","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"pith_short_16","alias_value":"BXBXEXWJH36IW3K5","created_at":"2026-07-05T04:28:34Z"},{"alias_kind":"pith_short_8","alias_value":"BXBXEXWJ","created_at":"2026-07-05T04:28:34Z"}],"graph_snapshots":[{"event_id":"sha256:305934e56699f190e7b9e6f19d9d476b00f65bef6a3df20cdf9c26658a89d94d","target":"graph","created_at":"2026-07-05T04:28:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2206.00863/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the Hessian geometric structure of nonequilibrium chemical reaction networks (CRN) on the flux and force spaces induced by the Legendre duality of convex dissipation functions and characterize their dynamics as a generalized flow. With this structure, we can extend theories of nonequilibrium systems with quadratic dissipation functions to more general ones with nonquadratic ones, which are pivotal for studying chemical reaction networks. By applying generalized notions of orthogonality in Hessian geometry to chemical reaction networks, we obtain two generalized decompositions of the ","authors_text":"Atsushi Kamimura, Dimitri Loutchko, Tetsuya J. Kobayashi, Yuki Sughiyama","cross_cats":["q-bio.MN"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-06-02T04:04:34Z","title":"Geometry of Nonequilibrium Chemical Reaction Networks and Generalized Entropy Production Decompositions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.00863","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c62e29eab51fb178186ea1c0f10ebfb00a978c929eed08e8e4b7be5fe9a7e1ea","target":"record","created_at":"2026-07-05T04:28:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b9021b6415f094fb97ae82ffc59d734b645d32989c6dbf884c2349692f3bb332","cross_cats_sorted":["q-bio.MN"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-06-02T04:04:34Z","title_canon_sha256":"8aa92824a2e2ea8e4097cc6c8137ab8ddc84401cc1733186d4480ab05a746d4b"},"schema_version":"1.0","source":{"id":"2206.00863","kind":"arxiv","version":1}},"canonical_sha256":"0dc3725ec93efc8b6d5d66344d32b6abe2ef3a46ebe9aa6ceb9f8be7b69bf3b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0dc3725ec93efc8b6d5d66344d32b6abe2ef3a46ebe9aa6ceb9f8be7b69bf3b9","first_computed_at":"2026-07-05T04:28:34.473931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:28:34.473931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aKwpktLdY9VIeSD8e99HlGWNYPresLRQmAcWGm0NWoWJ4XflWXmOPer6/9OH40JJMY7OyyP/ar3BEpkwgvFmAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:28:34.474406Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.00863","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c62e29eab51fb178186ea1c0f10ebfb00a978c929eed08e8e4b7be5fe9a7e1ea","sha256:305934e56699f190e7b9e6f19d9d476b00f65bef6a3df20cdf9c26658a89d94d"],"state_sha256":"36c3e86304678bc16508100eabcae210af9da3540dfddf757fc5b459c277576c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CsEV4kD6sgziByZiqjz5pMgvhsGlS651mZSj8+t2uf73iEpj/pLNW54JKeK0jicsLA/LP+VE2pevyYuIXmS2AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T16:49:49.539317Z","bundle_sha256":"cd749efdb97c2ec48da34aaefd9ff9e6bb28f52cc012c1f3418e9608c1484c6c"}}