{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:RQEVTFTJPDHHLWKUY6NLRP26Q5","short_pith_number":"pith:RQEVTFTJ","canonical_record":{"source":{"id":"2310.08781","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-10-13T00:06:56Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ab14377fd3357ee6a7dd0f3e840534b52dcad4395282a577745699131792093b","abstract_canon_sha256":"6b721479721135c7bcc209e145f094c83b513581958870191ec8578d3cf6a2e8"},"schema_version":"1.0"},"canonical_sha256":"8c0959966978ce75d954c79ab8bf5e876be3e70fe461b4657e96d1fd4a5859cb","source":{"kind":"arxiv","id":"2310.08781","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.08781","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"arxiv_version","alias_value":"2310.08781v1","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.08781","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"pith_short_12","alias_value":"RQEVTFTJPDHH","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"pith_short_16","alias_value":"RQEVTFTJPDHHLWKU","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"pith_short_8","alias_value":"RQEVTFTJ","created_at":"2026-07-05T07:00:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:RQEVTFTJPDHHLWKUY6NLRP26Q5","target":"record","payload":{"canonical_record":{"source":{"id":"2310.08781","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-10-13T00:06:56Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ab14377fd3357ee6a7dd0f3e840534b52dcad4395282a577745699131792093b","abstract_canon_sha256":"6b721479721135c7bcc209e145f094c83b513581958870191ec8578d3cf6a2e8"},"schema_version":"1.0"},"canonical_sha256":"8c0959966978ce75d954c79ab8bf5e876be3e70fe461b4657e96d1fd4a5859cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:00:34.798488Z","signature_b64":"ILGOzfH0oE2pf/nG/Vx4F9ZYQpHE2tA7geRdZBIEged1J4GrglqDpdxEjb27uBygMCUC8PqmMRKac5RZInUSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c0959966978ce75d954c79ab8bf5e876be3e70fe461b4657e96d1fd4a5859cb","last_reissued_at":"2026-07-05T07:00:34.798069Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:00:34.798069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.08781","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":"2026-07-05T07:00:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5CIivK6VR8dPmuphzfs6i9W21OhnBSjJ/8GhBwQrccTKKWptJfJUe2gy6g4UycaJwta/DSKKXu2IO0cu2ETHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T22:12:36.144044Z"},"content_sha256":"1a8991d484283b5646fc8b3c9ac327bc1f9fa1167c6268ac9e70cec6f7cddd3e","schema_version":"1.0","event_id":"sha256:1a8991d484283b5646fc8b3c9ac327bc1f9fa1167c6268ac9e70cec6f7cddd3e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:RQEVTFTJPDHHLWKUY6NLRP26Q5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unified first law of thermodynamics in Gauss-Bonnet gravity on an FLRW background","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Francisco Tello-Ortiz, Joel Saavedra","submitted_at":"2023-10-13T00:06:56Z","abstract_excerpt":"Employing the thermodynamic unified first law through the thermodynamic-gravity conjecture, in this article, we derive for a FLRW universe the Friedmann equations in the framework of Gauss-Bonnet gravity theory. To do this, we project this generalized first law along the Kodama vector field and along the direction of an orthogonal vector to the Kodama vector. The second Friedmann equation is obtained by projecting on the Kodama vector, while the first is obtained by projecting along the flux on the Cauchy hypersurfaces. This result does not assume a priory temperature and an entropy, so the Cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.08781","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/2310.08781/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":"2026-07-05T07:00:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o2txmNQa/762IvSE9mhvefxHxa64pyFz+OgUKMX29V136GgakodgMV+UWx18MhJ+i4n1d5UfMN6CNTSuOhvdAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T22:12:36.145040Z"},"content_sha256":"586fbec2a9c9ff3bc41fdfc47f495fc0327c41aa2c89ac717417e5a8a095f13a","schema_version":"1.0","event_id":"sha256:586fbec2a9c9ff3bc41fdfc47f495fc0327c41aa2c89ac717417e5a8a095f13a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQEVTFTJPDHHLWKUY6NLRP26Q5/bundle.json","state_url":"https://pith.science/pith/RQEVTFTJPDHHLWKUY6NLRP26Q5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQEVTFTJPDHHLWKUY6NLRP26Q5/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":"2026-08-17T22:12:36Z","links":{"resolver":"https://pith.science/pith/RQEVTFTJPDHHLWKUY6NLRP26Q5","bundle":"https://pith.science/pith/RQEVTFTJPDHHLWKUY6NLRP26Q5/bundle.json","state":"https://pith.science/pith/RQEVTFTJPDHHLWKUY6NLRP26Q5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQEVTFTJPDHHLWKUY6NLRP26Q5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RQEVTFTJPDHHLWKUY6NLRP26Q5","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":"6b721479721135c7bcc209e145f094c83b513581958870191ec8578d3cf6a2e8","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-10-13T00:06:56Z","title_canon_sha256":"ab14377fd3357ee6a7dd0f3e840534b52dcad4395282a577745699131792093b"},"schema_version":"1.0","source":{"id":"2310.08781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.08781","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"arxiv_version","alias_value":"2310.08781v1","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.08781","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"pith_short_12","alias_value":"RQEVTFTJPDHH","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"pith_short_16","alias_value":"RQEVTFTJPDHHLWKU","created_at":"2026-07-05T07:00:34Z"},{"alias_kind":"pith_short_8","alias_value":"RQEVTFTJ","created_at":"2026-07-05T07:00:34Z"}],"graph_snapshots":[{"event_id":"sha256:586fbec2a9c9ff3bc41fdfc47f495fc0327c41aa2c89ac717417e5a8a095f13a","target":"graph","created_at":"2026-07-05T07:00:34Z","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/2310.08781/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Employing the thermodynamic unified first law through the thermodynamic-gravity conjecture, in this article, we derive for a FLRW universe the Friedmann equations in the framework of Gauss-Bonnet gravity theory. To do this, we project this generalized first law along the Kodama vector field and along the direction of an orthogonal vector to the Kodama vector. The second Friedmann equation is obtained by projecting on the Kodama vector, while the first is obtained by projecting along the flux on the Cauchy hypersurfaces. This result does not assume a priory temperature and an entropy, so the Cl","authors_text":"Francisco Tello-Ortiz, Joel Saavedra","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-10-13T00:06:56Z","title":"Unified first law of thermodynamics in Gauss-Bonnet gravity on an FLRW background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.08781","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":"sha256:1a8991d484283b5646fc8b3c9ac327bc1f9fa1167c6268ac9e70cec6f7cddd3e","target":"record","created_at":"2026-07-05T07:00:34Z","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":"6b721479721135c7bcc209e145f094c83b513581958870191ec8578d3cf6a2e8","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-10-13T00:06:56Z","title_canon_sha256":"ab14377fd3357ee6a7dd0f3e840534b52dcad4395282a577745699131792093b"},"schema_version":"1.0","source":{"id":"2310.08781","kind":"arxiv","version":1}},"canonical_sha256":"8c0959966978ce75d954c79ab8bf5e876be3e70fe461b4657e96d1fd4a5859cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c0959966978ce75d954c79ab8bf5e876be3e70fe461b4657e96d1fd4a5859cb","first_computed_at":"2026-07-05T07:00:34.798069Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:00:34.798069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ILGOzfH0oE2pf/nG/Vx4F9ZYQpHE2tA7geRdZBIEged1J4GrglqDpdxEjb27uBygMCUC8PqmMRKac5RZInUSBw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:00:34.798488Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.08781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a8991d484283b5646fc8b3c9ac327bc1f9fa1167c6268ac9e70cec6f7cddd3e","sha256:586fbec2a9c9ff3bc41fdfc47f495fc0327c41aa2c89ac717417e5a8a095f13a"],"state_sha256":"a4c8f6c1d1db073f806881229228414454678b89c36e56c7fbb2c1613964cdfc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HR/1jPOJ7IIrBYEsoAtRX0KPxmjQ6Hue04ZutnSGJgKVlUYO2kQbZpZrMdWrR3Z3VaB+UV+kklm1sNIB7hvDDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T22:12:36.152253Z","bundle_sha256":"92d1e901b6f771d8d5e435f02cfcc4c2370e7d7b5d45c0153035eadad71b97ee"}}