{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B4QXBLRHBASEQOUNS2T6ILGE7V","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":"38b8f8bc75961d72ae3507a712b4a7af805e7a56da52aabf2439998e6e2b6cb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-31T02:44:41Z","title_canon_sha256":"32a7938c7f67b6ca97f3097d61f885dba71cc8e08d6b7a9f15b8d5adb4c6efe4"},"schema_version":"1.0","source":{"id":"1603.09443","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.09443","created_at":"2026-05-18T01:13:17Z"},{"alias_kind":"arxiv_version","alias_value":"1603.09443v2","created_at":"2026-05-18T01:13:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.09443","created_at":"2026-05-18T01:13:17Z"},{"alias_kind":"pith_short_12","alias_value":"B4QXBLRHBASE","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B4QXBLRHBASEQOUN","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B4QXBLRH","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:cdf76ac567f424d60bf68c6dff21aa562e89c28d89c59850f5a91cd1d2c0b0c5","target":"graph","created_at":"2026-05-18T01:13:17Z","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":"In this summary, we present the main topics of the talks presented in the parallel session \"Black holes - 5\" of the 14th Marcel Grossmann Meeting held in Rome, Italy in July 2015. We first present a short review of the main approaches used to understand thermodynamics by using differential geometry. Then, we present a brief summary of each presentation, including some general remarks and comments.","authors_text":"Christine Gruber, Hernando Quevedo, Orlando Luongo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-31T02:44:41Z","title":"Geometric approaches to the thermodynamics of black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09443","kind":"arxiv","version":2},"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":"sha256:3590cd11bbd7bc9b14318da82c2db4b0fc7fa1523cce039d0ee859fcec4908a7","target":"record","created_at":"2026-05-18T01:13:17Z","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":"38b8f8bc75961d72ae3507a712b4a7af805e7a56da52aabf2439998e6e2b6cb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-31T02:44:41Z","title_canon_sha256":"32a7938c7f67b6ca97f3097d61f885dba71cc8e08d6b7a9f15b8d5adb4c6efe4"},"schema_version":"1.0","source":{"id":"1603.09443","kind":"arxiv","version":2}},"canonical_sha256":"0f2170ae270824483a8d96a7e42cc4fd50e8f373456be919e25bb031efe28d50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f2170ae270824483a8d96a7e42cc4fd50e8f373456be919e25bb031efe28d50","first_computed_at":"2026-05-18T01:13:17.488953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:17.488953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BnIpBEVOrOI0jQmA6wOvTGAok2EZVJ0oWdgyj6fgQnJoHSVfWOVLTuIXEPbmWQ/gl3XktbR2EMP3+iK4aKLrAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:17.489376Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.09443","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3590cd11bbd7bc9b14318da82c2db4b0fc7fa1523cce039d0ee859fcec4908a7","sha256:cdf76ac567f424d60bf68c6dff21aa562e89c28d89c59850f5a91cd1d2c0b0c5"],"state_sha256":"d52f63a41e6222ab7578017737285ceefb101b07a24623b1d395e3f31851888b"}