{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CLT2FOUQM4TSWZYKFARIGI6ZNV","short_pith_number":"pith:CLT2FOUQ","canonical_record":{"source":{"id":"1310.5537","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-21T13:19:34Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5bfb73bcf69d3c11014b62f73d608471565b698a0515e040da641a4676bf8f68","abstract_canon_sha256":"081281071707cff4c64315f154125797b13fa526d4c79b4bc42c6653af3e8323"},"schema_version":"1.0"},"canonical_sha256":"12e7a2ba9067272b670a28228323d96d474e2e7a9c29e79467617ae68ab0ceba","source":{"kind":"arxiv","id":"1310.5537","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5537","created_at":"2026-05-18T02:20:47Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5537v3","created_at":"2026-05-18T02:20:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5537","created_at":"2026-05-18T02:20:47Z"},{"alias_kind":"pith_short_12","alias_value":"CLT2FOUQM4TS","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLT2FOUQM4TSWZYK","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLT2FOUQ","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CLT2FOUQM4TSWZYKFARIGI6ZNV","target":"record","payload":{"canonical_record":{"source":{"id":"1310.5537","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-21T13:19:34Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5bfb73bcf69d3c11014b62f73d608471565b698a0515e040da641a4676bf8f68","abstract_canon_sha256":"081281071707cff4c64315f154125797b13fa526d4c79b4bc42c6653af3e8323"},"schema_version":"1.0"},"canonical_sha256":"12e7a2ba9067272b670a28228323d96d474e2e7a9c29e79467617ae68ab0ceba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:47.724976Z","signature_b64":"QlRTc5EJUmplq+BO/XBrYeKN0ybD9cqXaB9EkVHvtqbR/tLWPn3VEQUPwDDw4Pya7qqoVGxUrJ+bCcReBC7iAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12e7a2ba9067272b670a28228323d96d474e2e7a9c29e79467617ae68ab0ceba","last_reissued_at":"2026-05-18T02:20:47.724258Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:47.724258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.5537","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:20:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M94lnezzcvhzAuHD7CvznykfW1UCLq1JmjGWUz8ZpK8JX0AV1W1WEt9j4ka+d45E7UFcIwi7mdKl4CbrXpBIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T03:53:27.022642Z"},"content_sha256":"5531108945e3078ca6f690b49d24f2ad46ab051fe3c6e1832badcdf6a592c9f2","schema_version":"1.0","event_id":"sha256:5531108945e3078ca6f690b49d24f2ad46ab051fe3c6e1832badcdf6a592c9f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CLT2FOUQM4TSWZYKFARIGI6ZNV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the construction of Hartle-Hawking-Israel states across a static bifurcate Killing horizon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Ko Sanders","submitted_at":"2013-10-21T13:19:34Z","abstract_excerpt":"We consider a linear scalar quantum field propagating in a space-time with a static bifurcate Killing horizon and a wedge reflection. We prove the existence of a Hadamard state which is pure, quasi-free, invariant under the Killing flow and which restricts to a double KMS state at the inverse Hawking temperature on the union of the exterior wedge regions. The existence of such a state was first conjectured by Hartle and Hawking (1976) and Israel (1976) for stationary black hole space times. Our result complements a uniqueness result of Kay and Wald (1991), who considered a general bifurcate Ki"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5537","kind":"arxiv","version":3},"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":"2026-05-18T02:20:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"np0tUv3VQYrDRicmf5iR4GnuKauvTYsBZwB9L7YPc+Kd9/3OBQw1ktoHGMg391MvyycjmPo+cTEUI9iTeqPeBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T03:53:27.022984Z"},"content_sha256":"cdc0a905f130338451297a2683bef3235bd60998ab49895df3b07d8206329cf2","schema_version":"1.0","event_id":"sha256:cdc0a905f130338451297a2683bef3235bd60998ab49895df3b07d8206329cf2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CLT2FOUQM4TSWZYKFARIGI6ZNV/bundle.json","state_url":"https://pith.science/pith/CLT2FOUQM4TSWZYKFARIGI6ZNV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CLT2FOUQM4TSWZYKFARIGI6ZNV/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":"2026-07-01T03:53:27Z","links":{"resolver":"https://pith.science/pith/CLT2FOUQM4TSWZYKFARIGI6ZNV","bundle":"https://pith.science/pith/CLT2FOUQM4TSWZYKFARIGI6ZNV/bundle.json","state":"https://pith.science/pith/CLT2FOUQM4TSWZYKFARIGI6ZNV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CLT2FOUQM4TSWZYKFARIGI6ZNV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CLT2FOUQM4TSWZYKFARIGI6ZNV","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":"081281071707cff4c64315f154125797b13fa526d4c79b4bc42c6653af3e8323","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-21T13:19:34Z","title_canon_sha256":"5bfb73bcf69d3c11014b62f73d608471565b698a0515e040da641a4676bf8f68"},"schema_version":"1.0","source":{"id":"1310.5537","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5537","created_at":"2026-05-18T02:20:47Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5537v3","created_at":"2026-05-18T02:20:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5537","created_at":"2026-05-18T02:20:47Z"},{"alias_kind":"pith_short_12","alias_value":"CLT2FOUQM4TS","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLT2FOUQM4TSWZYK","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLT2FOUQ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:cdc0a905f130338451297a2683bef3235bd60998ab49895df3b07d8206329cf2","target":"graph","created_at":"2026-05-18T02:20:47Z","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 consider a linear scalar quantum field propagating in a space-time with a static bifurcate Killing horizon and a wedge reflection. We prove the existence of a Hadamard state which is pure, quasi-free, invariant under the Killing flow and which restricts to a double KMS state at the inverse Hawking temperature on the union of the exterior wedge regions. The existence of such a state was first conjectured by Hartle and Hawking (1976) and Israel (1976) for stationary black hole space times. Our result complements a uniqueness result of Kay and Wald (1991), who considered a general bifurcate Ki","authors_text":"Ko Sanders","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-21T13:19:34Z","title":"On the construction of Hartle-Hawking-Israel states across a static bifurcate Killing horizon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5537","kind":"arxiv","version":3},"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":"sha256:5531108945e3078ca6f690b49d24f2ad46ab051fe3c6e1832badcdf6a592c9f2","target":"record","created_at":"2026-05-18T02:20:47Z","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":"081281071707cff4c64315f154125797b13fa526d4c79b4bc42c6653af3e8323","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-21T13:19:34Z","title_canon_sha256":"5bfb73bcf69d3c11014b62f73d608471565b698a0515e040da641a4676bf8f68"},"schema_version":"1.0","source":{"id":"1310.5537","kind":"arxiv","version":3}},"canonical_sha256":"12e7a2ba9067272b670a28228323d96d474e2e7a9c29e79467617ae68ab0ceba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12e7a2ba9067272b670a28228323d96d474e2e7a9c29e79467617ae68ab0ceba","first_computed_at":"2026-05-18T02:20:47.724258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:47.724258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QlRTc5EJUmplq+BO/XBrYeKN0ybD9cqXaB9EkVHvtqbR/tLWPn3VEQUPwDDw4Pya7qqoVGxUrJ+bCcReBC7iAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:47.724976Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5537","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5531108945e3078ca6f690b49d24f2ad46ab051fe3c6e1832badcdf6a592c9f2","sha256:cdc0a905f130338451297a2683bef3235bd60998ab49895df3b07d8206329cf2"],"state_sha256":"9e908bc32ac40c9efb8e3ab54876e7558728656e831447bedb2e3f514267a0c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O1fyh9mOUenV0um+NuQ5ARUk+vyEoWo9DAQ5T4rWWSJxCEZipRYibYMw6SFGgeKMzp/eUmC3yPNxBAoMJOcxAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T03:53:27.024900Z","bundle_sha256":"c52d4502fae71f2b4bec3096bc3f8ae53c5c59c99ae56a3abefd17602ff81333"}}