{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QTUQNYIBDA5T3VLNZEX7R2ILDG","short_pith_number":"pith:QTUQNYIB","canonical_record":{"source":{"id":"1305.2207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-09T20:15:28Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ef70a58734a8215d01b016ae0a069e939b9bb093fcad02bdf658f1b3cd93fadc","abstract_canon_sha256":"ba50a3fee67c044094ace2641e87b664eadb484b0f79036c7269e5f6e16b014f"},"schema_version":"1.0"},"canonical_sha256":"84e906e101183b3dd56dc92ff8e90b1989316e390facf13fbcfaa0e5f86ed1c3","source":{"kind":"arxiv","id":"1305.2207","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2207","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2207v2","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2207","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"QTUQNYIBDA5T","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QTUQNYIBDA5T3VLN","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QTUQNYIB","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QTUQNYIBDA5T3VLNZEX7R2ILDG","target":"record","payload":{"canonical_record":{"source":{"id":"1305.2207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-09T20:15:28Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ef70a58734a8215d01b016ae0a069e939b9bb093fcad02bdf658f1b3cd93fadc","abstract_canon_sha256":"ba50a3fee67c044094ace2641e87b664eadb484b0f79036c7269e5f6e16b014f"},"schema_version":"1.0"},"canonical_sha256":"84e906e101183b3dd56dc92ff8e90b1989316e390facf13fbcfaa0e5f86ed1c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:01.410556Z","signature_b64":"jMONajyNlTUihqVbdid4wk36VLyPbuz4JutnTSUbMs1iqOv39xrqumkKijuTuTzjFfsrEvc4bSeE+sGfmqkqBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84e906e101183b3dd56dc92ff8e90b1989316e390facf13fbcfaa0e5f86ed1c3","last_reissued_at":"2026-05-18T03:05:01.409961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:01.409961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.2207","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":"2026-05-18T03:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IOo9B/jjT0duZr2swNlITGgRmnfSz6YABjmnVFhsBIF1oTJodNL+HMCD8kwIxBmDPtIqSupyh8ErjM3TU0D0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:09:13.675368Z"},"content_sha256":"7657d81fba3f56203460b75bb8b68b47de61f4c925491585f6f81b565800e8f7","schema_version":"1.0","event_id":"sha256:7657d81fba3f56203460b75bb8b68b47de61f4c925491585f6f81b565800e8f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QTUQNYIBDA5T3VLNZEX7R2ILDG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The imaginary part of the gravitational action at asymptotic boundaries and horizons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Yasha Neiman","submitted_at":"2013-05-09T20:15:28Z","abstract_excerpt":"We study the imaginary part of the Lorentzian gravitational action for bounded regions, as described in arXiv:1301.7041. By comparing to a Euclidean calculation, we explain the agreement between the formula for this imaginary part and the formula for black hole entropy. We also clarify the topological structure of the imaginary part in Lovelock gravity. We then evaluate the action's imaginary part for some special regions. These include cylindrical slabs spanning the exterior of a stationary black hole spacetime, 'maximal diamonds' in various symmetric spacetimes, as well as local near-horizon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2207","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":"2026-05-18T03:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mwc9k6xS0/jZLlqPH2U2ySymOHpvE/i9x3sVhK0P/RxeOEnfPdu38+FS6ZjyZW/oMB51U8to2mdrCzBVP+7GAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:09:13.675825Z"},"content_sha256":"2cf37ae74baf0666057f65f56e0e1c80582efa2ac0ec1c4323cdf4b26cd3477b","schema_version":"1.0","event_id":"sha256:2cf37ae74baf0666057f65f56e0e1c80582efa2ac0ec1c4323cdf4b26cd3477b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QTUQNYIBDA5T3VLNZEX7R2ILDG/bundle.json","state_url":"https://pith.science/pith/QTUQNYIBDA5T3VLNZEX7R2ILDG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QTUQNYIBDA5T3VLNZEX7R2ILDG/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":"2026-08-18T01:09:13Z","links":{"resolver":"https://pith.science/pith/QTUQNYIBDA5T3VLNZEX7R2ILDG","bundle":"https://pith.science/pith/QTUQNYIBDA5T3VLNZEX7R2ILDG/bundle.json","state":"https://pith.science/pith/QTUQNYIBDA5T3VLNZEX7R2ILDG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QTUQNYIBDA5T3VLNZEX7R2ILDG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QTUQNYIBDA5T3VLNZEX7R2ILDG","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":"ba50a3fee67c044094ace2641e87b664eadb484b0f79036c7269e5f6e16b014f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-09T20:15:28Z","title_canon_sha256":"ef70a58734a8215d01b016ae0a069e939b9bb093fcad02bdf658f1b3cd93fadc"},"schema_version":"1.0","source":{"id":"1305.2207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2207","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2207v2","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2207","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"QTUQNYIBDA5T","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QTUQNYIBDA5T3VLN","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QTUQNYIB","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:2cf37ae74baf0666057f65f56e0e1c80582efa2ac0ec1c4323cdf4b26cd3477b","target":"graph","created_at":"2026-05-18T03:05:01Z","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 study the imaginary part of the Lorentzian gravitational action for bounded regions, as described in arXiv:1301.7041. By comparing to a Euclidean calculation, we explain the agreement between the formula for this imaginary part and the formula for black hole entropy. We also clarify the topological structure of the imaginary part in Lovelock gravity. We then evaluate the action's imaginary part for some special regions. These include cylindrical slabs spanning the exterior of a stationary black hole spacetime, 'maximal diamonds' in various symmetric spacetimes, as well as local near-horizon","authors_text":"Yasha Neiman","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-09T20:15:28Z","title":"The imaginary part of the gravitational action at asymptotic boundaries and horizons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2207","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":"sha256:7657d81fba3f56203460b75bb8b68b47de61f4c925491585f6f81b565800e8f7","target":"record","created_at":"2026-05-18T03:05:01Z","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":"ba50a3fee67c044094ace2641e87b664eadb484b0f79036c7269e5f6e16b014f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-09T20:15:28Z","title_canon_sha256":"ef70a58734a8215d01b016ae0a069e939b9bb093fcad02bdf658f1b3cd93fadc"},"schema_version":"1.0","source":{"id":"1305.2207","kind":"arxiv","version":2}},"canonical_sha256":"84e906e101183b3dd56dc92ff8e90b1989316e390facf13fbcfaa0e5f86ed1c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84e906e101183b3dd56dc92ff8e90b1989316e390facf13fbcfaa0e5f86ed1c3","first_computed_at":"2026-05-18T03:05:01.409961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:01.409961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jMONajyNlTUihqVbdid4wk36VLyPbuz4JutnTSUbMs1iqOv39xrqumkKijuTuTzjFfsrEvc4bSeE+sGfmqkqBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:01.410556Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7657d81fba3f56203460b75bb8b68b47de61f4c925491585f6f81b565800e8f7","sha256:2cf37ae74baf0666057f65f56e0e1c80582efa2ac0ec1c4323cdf4b26cd3477b"],"state_sha256":"cd4f074f73c139af1d90e43813d6d35bcf62dd69df04b4061ddcd9e035f253d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6uH8s9kIFUHJL9tigXY/mlrHnEuY/hZINmz70pCoGOQpgZ7yWyt2zUL8MBiUf/yWZcjTQ3z1w174kg6cyEa3DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T01:09:13.681239Z","bundle_sha256":"4f152da3c291a79c681065600c5be6f01f841eca1733d2ceafa08b97fb9fef68"}}