{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZVFPNCMARZV2ULKXCPPHO7DLQA","short_pith_number":"pith:ZVFPNCMA","canonical_record":{"source":{"id":"1807.02041","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-05T15:00:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"01a3577a7b8f1ca0a5252d3995e3d4eb95f8e0037664c107dc316d7833c98655","abstract_canon_sha256":"5ebce85f02fc4ec5faf0c5ddabeba4fa95a3a9ca15534cda8c79abbe90e38751"},"schema_version":"1.0"},"canonical_sha256":"cd4af689808e6baa2d5713de777c6b802134dd11058a1e6dc3abafaf77b2ec7d","source":{"kind":"arxiv","id":"1807.02041","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02041","created_at":"2026-05-18T00:04:16Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02041v2","created_at":"2026-05-18T00:04:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02041","created_at":"2026-05-18T00:04:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZVFPNCMARZV2","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZVFPNCMARZV2ULKX","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZVFPNCMA","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZVFPNCMARZV2ULKXCPPHO7DLQA","target":"record","payload":{"canonical_record":{"source":{"id":"1807.02041","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-05T15:00:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"01a3577a7b8f1ca0a5252d3995e3d4eb95f8e0037664c107dc316d7833c98655","abstract_canon_sha256":"5ebce85f02fc4ec5faf0c5ddabeba4fa95a3a9ca15534cda8c79abbe90e38751"},"schema_version":"1.0"},"canonical_sha256":"cd4af689808e6baa2d5713de777c6b802134dd11058a1e6dc3abafaf77b2ec7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:16.658369Z","signature_b64":"Cq2KxALqFFrrPyvNIhYaPVQHGwJkBvDfpqMYzY0Wg4VbbRY0XYXbyGT+ed1D/MsoByIt2rFQXgMD7/muZgw+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd4af689808e6baa2d5713de777c6b802134dd11058a1e6dc3abafaf77b2ec7d","last_reissued_at":"2026-05-18T00:04:16.657650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:16.657650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.02041","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jp6P05ruE/PWRfkbB/xTdErUiBBtVCx9GZtxe0FSyRievTPbMPHxByfnlqmneTrhxYTPqBsiOK9ywV7EFwu+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:48:57.352488Z"},"content_sha256":"124ad539a00c49472b5a5a3d4f6a7dea25905b4429587a17503d1c4c4c06573e","schema_version":"1.0","event_id":"sha256:124ad539a00c49472b5a5a3d4f6a7dea25905b4429587a17503d1c4c4c06573e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZVFPNCMARZV2ULKXCPPHO7DLQA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spacetime Thermodynamics with Contorsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Elena De Paoli, Simone Speziale, Tommaso De Lorenzo","submitted_at":"2018-07-05T15:00:34Z","abstract_excerpt":"We prove that a conserved effective energy-momentum tensor for Einstein-Cartan theory can be identified from the Noether identities of the matter Lagrangian, using the torsion field equations relating them. More precisely, a one-parameter family labelled by the Immirzi parameter. We use this result and the contorsion description to show that Jacobson's thermodynamical derivation of the Einstein equations follows as in the metric theory, namely from the equilibrium Clausius relation and the fact that a Killing horizon is metric-geodetic. Our derivation works for an arbitrary torsion field. In t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02041","kind":"arxiv","version":2},"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":"2026-05-18T00:04:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6bBwAuZM/oONSOxQHzlnwc1/oaygsJ7FDuE/n4sV8lmdnblWe+iiZ8p+I9vmFLDeNfDfz2HJ/Xh8sc78vKd2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:48:57.353147Z"},"content_sha256":"2286a397b86b4f0d14518f184c98291bbab57528a9fde67ad59e9c912dbf39aa","schema_version":"1.0","event_id":"sha256:2286a397b86b4f0d14518f184c98291bbab57528a9fde67ad59e9c912dbf39aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZVFPNCMARZV2ULKXCPPHO7DLQA/bundle.json","state_url":"https://pith.science/pith/ZVFPNCMARZV2ULKXCPPHO7DLQA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZVFPNCMARZV2ULKXCPPHO7DLQA/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":"2026-05-28T15:48:57Z","links":{"resolver":"https://pith.science/pith/ZVFPNCMARZV2ULKXCPPHO7DLQA","bundle":"https://pith.science/pith/ZVFPNCMARZV2ULKXCPPHO7DLQA/bundle.json","state":"https://pith.science/pith/ZVFPNCMARZV2ULKXCPPHO7DLQA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZVFPNCMARZV2ULKXCPPHO7DLQA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZVFPNCMARZV2ULKXCPPHO7DLQA","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":"5ebce85f02fc4ec5faf0c5ddabeba4fa95a3a9ca15534cda8c79abbe90e38751","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-05T15:00:34Z","title_canon_sha256":"01a3577a7b8f1ca0a5252d3995e3d4eb95f8e0037664c107dc316d7833c98655"},"schema_version":"1.0","source":{"id":"1807.02041","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02041","created_at":"2026-05-18T00:04:16Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02041v2","created_at":"2026-05-18T00:04:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02041","created_at":"2026-05-18T00:04:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZVFPNCMARZV2","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZVFPNCMARZV2ULKX","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZVFPNCMA","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:2286a397b86b4f0d14518f184c98291bbab57528a9fde67ad59e9c912dbf39aa","target":"graph","created_at":"2026-05-18T00:04:16Z","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 prove that a conserved effective energy-momentum tensor for Einstein-Cartan theory can be identified from the Noether identities of the matter Lagrangian, using the torsion field equations relating them. More precisely, a one-parameter family labelled by the Immirzi parameter. We use this result and the contorsion description to show that Jacobson's thermodynamical derivation of the Einstein equations follows as in the metric theory, namely from the equilibrium Clausius relation and the fact that a Killing horizon is metric-geodetic. Our derivation works for an arbitrary torsion field. In t","authors_text":"Elena De Paoli, Simone Speziale, Tommaso De Lorenzo","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-05T15:00:34Z","title":"Spacetime Thermodynamics with Contorsion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02041","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":"sha256:124ad539a00c49472b5a5a3d4f6a7dea25905b4429587a17503d1c4c4c06573e","target":"record","created_at":"2026-05-18T00:04:16Z","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":"5ebce85f02fc4ec5faf0c5ddabeba4fa95a3a9ca15534cda8c79abbe90e38751","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-05T15:00:34Z","title_canon_sha256":"01a3577a7b8f1ca0a5252d3995e3d4eb95f8e0037664c107dc316d7833c98655"},"schema_version":"1.0","source":{"id":"1807.02041","kind":"arxiv","version":2}},"canonical_sha256":"cd4af689808e6baa2d5713de777c6b802134dd11058a1e6dc3abafaf77b2ec7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd4af689808e6baa2d5713de777c6b802134dd11058a1e6dc3abafaf77b2ec7d","first_computed_at":"2026-05-18T00:04:16.657650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:16.657650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cq2KxALqFFrrPyvNIhYaPVQHGwJkBvDfpqMYzY0Wg4VbbRY0XYXbyGT+ed1D/MsoByIt2rFQXgMD7/muZgw+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:16.658369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02041","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:124ad539a00c49472b5a5a3d4f6a7dea25905b4429587a17503d1c4c4c06573e","sha256:2286a397b86b4f0d14518f184c98291bbab57528a9fde67ad59e9c912dbf39aa"],"state_sha256":"d1d6eb6d698a1c0164234bcfdad9eee2dd110537f5b6546a5e1ae61c1a8aebdd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VTyaLHkU0midGw//SgfC9Iv1o+lSj9zBvJqfvTmE0E1D4x1vwZHPFj0fSTekuHHusF0BThhrTtMYPaVBg7ngDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T15:48:57.357154Z","bundle_sha256":"8a83c036c5fdfadda142851bb1959955c7a150ec2f5aaee4bebf63a7cb8f1264"}}