{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QYQOT5ISJC5FCERPJHBHAMOD67","short_pith_number":"pith:QYQOT5IS","canonical_record":{"source":{"id":"1701.06702","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-24T01:08:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6b0f30909dcaa49d1cf278953054cb0f401b2ffcdfc40dc440b19d25a009380f","abstract_canon_sha256":"214db4a4510ec1d00eb17d6859fd380af12dcbf1a51ba73a4f3a76dd49ec93b6"},"schema_version":"1.0"},"canonical_sha256":"8620e9f51248ba51122f49c27031c3f7dca51a292f514e5001eacfb2bb4ae022","source":{"kind":"arxiv","id":"1701.06702","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06702","created_at":"2026-05-18T00:47:04Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06702v1","created_at":"2026-05-18T00:47:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06702","created_at":"2026-05-18T00:47:04Z"},{"alias_kind":"pith_short_12","alias_value":"QYQOT5ISJC5F","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QYQOT5ISJC5FCERP","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QYQOT5IS","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QYQOT5ISJC5FCERPJHBHAMOD67","target":"record","payload":{"canonical_record":{"source":{"id":"1701.06702","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-24T01:08:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6b0f30909dcaa49d1cf278953054cb0f401b2ffcdfc40dc440b19d25a009380f","abstract_canon_sha256":"214db4a4510ec1d00eb17d6859fd380af12dcbf1a51ba73a4f3a76dd49ec93b6"},"schema_version":"1.0"},"canonical_sha256":"8620e9f51248ba51122f49c27031c3f7dca51a292f514e5001eacfb2bb4ae022","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:04.221144Z","signature_b64":"gHrb7OODhTw4mL3yD90Gy1PT6a8OV+MYfJSXlEoANUFul3Lw438vaaI6eVN2V+FJjkQ8eHsCZ9ddZiopBSRTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8620e9f51248ba51122f49c27031c3f7dca51a292f514e5001eacfb2bb4ae022","last_reissued_at":"2026-05-18T00:47:04.220722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:04.220722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.06702","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":"2026-05-18T00:47:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z6PrqyUzadfAoOEye2Kktqyxy9cNBR49KxlMvMuCRJDHRW9h3TlII3BpRisfxFtg+6JqBS4I37ye8I2K4lUzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:13:03.581548Z"},"content_sha256":"f86f3b80d30df768c6e7a90fabecbf24628367e10268a0bf7f9458693c0d10da","schema_version":"1.0","event_id":"sha256:f86f3b80d30df768c6e7a90fabecbf24628367e10268a0bf7f9458693c0d10da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QYQOT5ISJC5FCERPJHBHAMOD67","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Homogeneity and thermodynamic identities in geometrothermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"A. Sanchez, Hernando Quevedo, Maria N. Quevedo","submitted_at":"2017-01-24T01:08:15Z","abstract_excerpt":"We propose a classification of thermodynamic systems in terms of the homogeneity properties of their fundamental equations. Ordinary systems correspond to homogeneous functions and non-ordinary systems are given by generalized homogeneous functions. This affects the explicit form of the Gibbs-Duhem relation and Euler's identity. We show that these generalized relations can be implemented in the formalism of black hole geometrothermodynamics in order to completely fix the arbitrariness present in Legendre invariant metrics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06702","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":""},"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":"2026-05-18T00:47:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bo7U7yaemOn8Pz7viabc0S7o7nZJPafCOa2WFsUI7oCtMYzWEgnSrZILkthEED3IDX5yaiWo1/nsluT6vFD7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:13:03.582093Z"},"content_sha256":"47f8ec102138ffa933261266cf2cb92ab3f54f0d8fce3d542512df333a962446","schema_version":"1.0","event_id":"sha256:47f8ec102138ffa933261266cf2cb92ab3f54f0d8fce3d542512df333a962446"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QYQOT5ISJC5FCERPJHBHAMOD67/bundle.json","state_url":"https://pith.science/pith/QYQOT5ISJC5FCERPJHBHAMOD67/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QYQOT5ISJC5FCERPJHBHAMOD67/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":"2026-05-28T23:13:03Z","links":{"resolver":"https://pith.science/pith/QYQOT5ISJC5FCERPJHBHAMOD67","bundle":"https://pith.science/pith/QYQOT5ISJC5FCERPJHBHAMOD67/bundle.json","state":"https://pith.science/pith/QYQOT5ISJC5FCERPJHBHAMOD67/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QYQOT5ISJC5FCERPJHBHAMOD67/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QYQOT5ISJC5FCERPJHBHAMOD67","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":"214db4a4510ec1d00eb17d6859fd380af12dcbf1a51ba73a4f3a76dd49ec93b6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-24T01:08:15Z","title_canon_sha256":"6b0f30909dcaa49d1cf278953054cb0f401b2ffcdfc40dc440b19d25a009380f"},"schema_version":"1.0","source":{"id":"1701.06702","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06702","created_at":"2026-05-18T00:47:04Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06702v1","created_at":"2026-05-18T00:47:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06702","created_at":"2026-05-18T00:47:04Z"},{"alias_kind":"pith_short_12","alias_value":"QYQOT5ISJC5F","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QYQOT5ISJC5FCERP","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QYQOT5IS","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:47f8ec102138ffa933261266cf2cb92ab3f54f0d8fce3d542512df333a962446","target":"graph","created_at":"2026-05-18T00:47:04Z","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"},"paper":{"abstract_excerpt":"We propose a classification of thermodynamic systems in terms of the homogeneity properties of their fundamental equations. Ordinary systems correspond to homogeneous functions and non-ordinary systems are given by generalized homogeneous functions. This affects the explicit form of the Gibbs-Duhem relation and Euler's identity. We show that these generalized relations can be implemented in the formalism of black hole geometrothermodynamics in order to completely fix the arbitrariness present in Legendre invariant metrics.","authors_text":"A. Sanchez, Hernando Quevedo, Maria N. Quevedo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-24T01:08:15Z","title":"Homogeneity and thermodynamic identities in geometrothermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06702","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:f86f3b80d30df768c6e7a90fabecbf24628367e10268a0bf7f9458693c0d10da","target":"record","created_at":"2026-05-18T00:47:04Z","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":"214db4a4510ec1d00eb17d6859fd380af12dcbf1a51ba73a4f3a76dd49ec93b6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-24T01:08:15Z","title_canon_sha256":"6b0f30909dcaa49d1cf278953054cb0f401b2ffcdfc40dc440b19d25a009380f"},"schema_version":"1.0","source":{"id":"1701.06702","kind":"arxiv","version":1}},"canonical_sha256":"8620e9f51248ba51122f49c27031c3f7dca51a292f514e5001eacfb2bb4ae022","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8620e9f51248ba51122f49c27031c3f7dca51a292f514e5001eacfb2bb4ae022","first_computed_at":"2026-05-18T00:47:04.220722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:04.220722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gHrb7OODhTw4mL3yD90Gy1PT6a8OV+MYfJSXlEoANUFul3Lw438vaaI6eVN2V+FJjkQ8eHsCZ9ddZiopBSRTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:04.221144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06702","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f86f3b80d30df768c6e7a90fabecbf24628367e10268a0bf7f9458693c0d10da","sha256:47f8ec102138ffa933261266cf2cb92ab3f54f0d8fce3d542512df333a962446"],"state_sha256":"7e259fc25632e1b3762124560eeea86a81b91e93b56416efb655e45c5635ac52"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E+H7Zfu372NMbco1tpkKHsl821o/Il/UZ+LgcKColA1YZ13rAWn/ZTrc1G7On9pwXHYO79RZks2hNi8TcLqmBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T23:13:03.585164Z","bundle_sha256":"e6c80b7123ffc852d0715ed8c82f11e9a40738fb2af749a3460c8540ef2410de"}}