{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:IYJJWYWQHCLT2VOBT2PO4AHF2R","short_pith_number":"pith:IYJJWYWQ","canonical_record":{"source":{"id":"0905.3168","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-05-19T20:58:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"aea2839d4e6cab53f8ce25dd8c4dfd107aefd0665fe27231622610860f60e432","abstract_canon_sha256":"9cc45c8e471d4009738fa76a3113dfa3808640a5a98c2daa413be01817fa2a62"},"schema_version":"1.0"},"canonical_sha256":"46129b62d038973d55c19e9eee00e5d44c5efb7a51afd937bf54ef66ceb415a3","source":{"kind":"arxiv","id":"0905.3168","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3168","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3168v3","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3168","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"pith_short_12","alias_value":"IYJJWYWQHCLT","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IYJJWYWQHCLT2VOB","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IYJJWYWQ","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:IYJJWYWQHCLT2VOBT2PO4AHF2R","target":"record","payload":{"canonical_record":{"source":{"id":"0905.3168","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-05-19T20:58:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"aea2839d4e6cab53f8ce25dd8c4dfd107aefd0665fe27231622610860f60e432","abstract_canon_sha256":"9cc45c8e471d4009738fa76a3113dfa3808640a5a98c2daa413be01817fa2a62"},"schema_version":"1.0"},"canonical_sha256":"46129b62d038973d55c19e9eee00e5d44c5efb7a51afd937bf54ef66ceb415a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:46.309329Z","signature_b64":"bnY2Ks4nMgG5Z5mn5jQfTcbUmOQlyuaFvj6NmTWZd83xrfPGgudSUi1sxoQoYPwbuPuL4QCq6nvhHkrhS5KSBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46129b62d038973d55c19e9eee00e5d44c5efb7a51afd937bf54ef66ceb415a3","last_reissued_at":"2026-05-18T02:34:46.308964Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:46.308964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.3168","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":"2026-05-18T02:34:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ft9axhg7gwaBwQtQZROIUB++qaosKq28P+NILhLpcSfk3SXgR+BR0gEEiRVW93wDJ3g9acMEEMWcm2qxZn93DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:41:07.950521Z"},"content_sha256":"79a4622a65c98aaea95fcc1040906eec63e70fe52684bc933409f8fa9b02ad7d","schema_version":"1.0","event_id":"sha256:79a4622a65c98aaea95fcc1040906eec63e70fe52684bc933409f8fa9b02ad7d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:IYJJWYWQHCLT2VOBT2PO4AHF2R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black hole entropy and SU(2) Chern-Simons theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Alejandro Perez, Jonathan Engle, Karim Noui","submitted_at":"2009-05-19T20:58:47Z","abstract_excerpt":"Black holes in equilibrium can be defined locally in terms of the so-called isolated horizon boundary condition given on a null surface representing the event horizon. We show that this boundary condition can be treated in a manifestly SU(2) invariant manner. Upon quantization, state counting is expressed in terms of the dimension of Chern-Simons Hilbert spaces on a sphere with marked points. Moreover, the counting can be mapped to counting the number of SU(2) intertwiners compatible with the spins that label the defects. The resulting BH entropy is proportional to a_H with logarithmic correct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3168","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":"2026-05-18T02:34:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/s3285ngVQ6IWAy97UK1RIV6QIBYZTd9yuLUjZfLDA6yckBS8oynMDLqE3rWE2cVl5H/N/UtMqXw577B1eHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:41:07.950870Z"},"content_sha256":"5daedafe3b18d5eb739f3f175095d25b3f2879fb97f6017d75525c5e523dfd90","schema_version":"1.0","event_id":"sha256:5daedafe3b18d5eb739f3f175095d25b3f2879fb97f6017d75525c5e523dfd90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IYJJWYWQHCLT2VOBT2PO4AHF2R/bundle.json","state_url":"https://pith.science/pith/IYJJWYWQHCLT2VOBT2PO4AHF2R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IYJJWYWQHCLT2VOBT2PO4AHF2R/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":"2026-06-01T14:41:07Z","links":{"resolver":"https://pith.science/pith/IYJJWYWQHCLT2VOBT2PO4AHF2R","bundle":"https://pith.science/pith/IYJJWYWQHCLT2VOBT2PO4AHF2R/bundle.json","state":"https://pith.science/pith/IYJJWYWQHCLT2VOBT2PO4AHF2R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IYJJWYWQHCLT2VOBT2PO4AHF2R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:IYJJWYWQHCLT2VOBT2PO4AHF2R","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":"9cc45c8e471d4009738fa76a3113dfa3808640a5a98c2daa413be01817fa2a62","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-05-19T20:58:47Z","title_canon_sha256":"aea2839d4e6cab53f8ce25dd8c4dfd107aefd0665fe27231622610860f60e432"},"schema_version":"1.0","source":{"id":"0905.3168","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3168","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3168v3","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3168","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"pith_short_12","alias_value":"IYJJWYWQHCLT","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IYJJWYWQHCLT2VOB","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IYJJWYWQ","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:5daedafe3b18d5eb739f3f175095d25b3f2879fb97f6017d75525c5e523dfd90","target":"graph","created_at":"2026-05-18T02:34:46Z","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":"Black holes in equilibrium can be defined locally in terms of the so-called isolated horizon boundary condition given on a null surface representing the event horizon. We show that this boundary condition can be treated in a manifestly SU(2) invariant manner. Upon quantization, state counting is expressed in terms of the dimension of Chern-Simons Hilbert spaces on a sphere with marked points. Moreover, the counting can be mapped to counting the number of SU(2) intertwiners compatible with the spins that label the defects. The resulting BH entropy is proportional to a_H with logarithmic correct","authors_text":"Alejandro Perez, Jonathan Engle, Karim Noui","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-05-19T20:58:47Z","title":"Black hole entropy and SU(2) Chern-Simons theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3168","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":"sha256:79a4622a65c98aaea95fcc1040906eec63e70fe52684bc933409f8fa9b02ad7d","target":"record","created_at":"2026-05-18T02:34:46Z","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":"9cc45c8e471d4009738fa76a3113dfa3808640a5a98c2daa413be01817fa2a62","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-05-19T20:58:47Z","title_canon_sha256":"aea2839d4e6cab53f8ce25dd8c4dfd107aefd0665fe27231622610860f60e432"},"schema_version":"1.0","source":{"id":"0905.3168","kind":"arxiv","version":3}},"canonical_sha256":"46129b62d038973d55c19e9eee00e5d44c5efb7a51afd937bf54ef66ceb415a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46129b62d038973d55c19e9eee00e5d44c5efb7a51afd937bf54ef66ceb415a3","first_computed_at":"2026-05-18T02:34:46.308964Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:46.308964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bnY2Ks4nMgG5Z5mn5jQfTcbUmOQlyuaFvj6NmTWZd83xrfPGgudSUi1sxoQoYPwbuPuL4QCq6nvhHkrhS5KSBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:46.309329Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.3168","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79a4622a65c98aaea95fcc1040906eec63e70fe52684bc933409f8fa9b02ad7d","sha256:5daedafe3b18d5eb739f3f175095d25b3f2879fb97f6017d75525c5e523dfd90"],"state_sha256":"b5971dc2bf363b748488b75fd12162ce06a56c6b3a0241f7b86f48139ab0de1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qGYUT4AlJOvd1Ui+jP3fFzaTkWsf+0hxocywNYaDQaiQYvIh/ITMlM2P7WCJMxyXP6EeF4E4sLELubPexb3TCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:41:07.952850Z","bundle_sha256":"0c907d236560184195e6f0a06ca2249b4a3bec78b9ef59affddab46682e5b8d8"}}