{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:G4UEDBRIKHJU3VKSFKLM6MLPGR","short_pith_number":"pith:G4UEDBRI","canonical_record":{"source":{"id":"astro-ph/0410610","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-10-25T19:44:36Z","cross_cats_sorted":[],"title_canon_sha256":"fa7b1bd69fe7eaff668cd15192b265f66150e0de519528e841f26814b6ffc3f3","abstract_canon_sha256":"eb078d09dc01a1cb1cfd22e01975b7c8849dddf8b270e2b10b9787281b841350"},"schema_version":"1.0"},"canonical_sha256":"372841862851d34dd5522a96cf316f34595b63776b8444df79a5b235840d8644","source":{"kind":"arxiv","id":"astro-ph/0410610","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0410610","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0410610v3","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0410610","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"pith_short_12","alias_value":"G4UEDBRIKHJU","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"pith_short_16","alias_value":"G4UEDBRIKHJU3VKS","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"pith_short_8","alias_value":"G4UEDBRI","created_at":"2026-07-04T16:45:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:G4UEDBRIKHJU3VKSFKLM6MLPGR","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0410610","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-10-25T19:44:36Z","cross_cats_sorted":[],"title_canon_sha256":"fa7b1bd69fe7eaff668cd15192b265f66150e0de519528e841f26814b6ffc3f3","abstract_canon_sha256":"eb078d09dc01a1cb1cfd22e01975b7c8849dddf8b270e2b10b9787281b841350"},"schema_version":"1.0"},"canonical_sha256":"372841862851d34dd5522a96cf316f34595b63776b8444df79a5b235840d8644","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:45:02.818555Z","signature_b64":"xD/6j1/PWgcbpr9D3W4XjTEU31K0/UcXt6QbU1SUi0lehS1/i0Mxxm63t1ft22vzJdQSSvqHZgl5bvSV85U1Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"372841862851d34dd5522a96cf316f34595b63776b8444df79a5b235840d8644","last_reissued_at":"2026-07-04T16:45:02.818113Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:45:02.818113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0410610","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":"2026-07-04T16:45:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MbXV8m7FKdNouNpqsSQOuxlj/saXC9nWtIXb0ECZaDcDZzB+ebyWxeKlK4CfXt37JIcYfLfiOfY1305ogiuHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T22:12:58.622575Z"},"content_sha256":"d7db45b307a0965ea27d26380234c7455daef9487c286434df1eef6317c88cd4","schema_version":"1.0","event_id":"sha256:d7db45b307a0965ea27d26380234c7455daef9487c286434df1eef6317c88cd4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:G4UEDBRIKHJU3VKSFKLM6MLPGR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The tidal disruption rate in dense galactic cusps containing a supermassive binary black hole","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A. G. Polnarev, P. B. Ivanov, P. Saha","submitted_at":"2004-10-25T19:44:36Z","abstract_excerpt":"We consider the problem of tidal disruption of stars in the centre of a galaxy containing a supermassive binary black hole with unequal masses. We assume that over the separation distance between the black holes the gravitational potential is dominated by the more massive black hole. Also, we assume that the number density of stars is concentric with the primary black hole and has a power law cusp.We show that the bulk of stars with a small angular-momentum component normal to the black hole binary orbit can reach a small value of total angular momentum through secular evolution in the gravita"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0410610","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0410610/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:45:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7lCesBCBrJkzJ9MdrRREy90tZnpnf7VOOkkMa+gSae8xln+BHykp9hqfq+EABcE+9o0nielYJhoOr/+iBWLmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T22:12:58.622981Z"},"content_sha256":"efc7ae632674c4b0be8106b1fa2f7ee2e359c054da7988656c4d90482ae7a11c","schema_version":"1.0","event_id":"sha256:efc7ae632674c4b0be8106b1fa2f7ee2e359c054da7988656c4d90482ae7a11c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G4UEDBRIKHJU3VKSFKLM6MLPGR/bundle.json","state_url":"https://pith.science/pith/G4UEDBRIKHJU3VKSFKLM6MLPGR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G4UEDBRIKHJU3VKSFKLM6MLPGR/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":"2026-08-11T22:12:58Z","links":{"resolver":"https://pith.science/pith/G4UEDBRIKHJU3VKSFKLM6MLPGR","bundle":"https://pith.science/pith/G4UEDBRIKHJU3VKSFKLM6MLPGR/bundle.json","state":"https://pith.science/pith/G4UEDBRIKHJU3VKSFKLM6MLPGR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G4UEDBRIKHJU3VKSFKLM6MLPGR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:G4UEDBRIKHJU3VKSFKLM6MLPGR","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":"eb078d09dc01a1cb1cfd22e01975b7c8849dddf8b270e2b10b9787281b841350","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2004-10-25T19:44:36Z","title_canon_sha256":"fa7b1bd69fe7eaff668cd15192b265f66150e0de519528e841f26814b6ffc3f3"},"schema_version":"1.0","source":{"id":"astro-ph/0410610","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0410610","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0410610v3","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0410610","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"pith_short_12","alias_value":"G4UEDBRIKHJU","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"pith_short_16","alias_value":"G4UEDBRIKHJU3VKS","created_at":"2026-07-04T16:45:02Z"},{"alias_kind":"pith_short_8","alias_value":"G4UEDBRI","created_at":"2026-07-04T16:45:02Z"}],"graph_snapshots":[{"event_id":"sha256:efc7ae632674c4b0be8106b1fa2f7ee2e359c054da7988656c4d90482ae7a11c","target":"graph","created_at":"2026-07-04T16:45:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/astro-ph/0410610/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of tidal disruption of stars in the centre of a galaxy containing a supermassive binary black hole with unequal masses. We assume that over the separation distance between the black holes the gravitational potential is dominated by the more massive black hole. Also, we assume that the number density of stars is concentric with the primary black hole and has a power law cusp.We show that the bulk of stars with a small angular-momentum component normal to the black hole binary orbit can reach a small value of total angular momentum through secular evolution in the gravita","authors_text":"A. G. Polnarev, P. B. Ivanov, P. Saha","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2004-10-25T19:44:36Z","title":"The tidal disruption rate in dense galactic cusps containing a supermassive binary black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0410610","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:d7db45b307a0965ea27d26380234c7455daef9487c286434df1eef6317c88cd4","target":"record","created_at":"2026-07-04T16:45:02Z","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":"eb078d09dc01a1cb1cfd22e01975b7c8849dddf8b270e2b10b9787281b841350","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2004-10-25T19:44:36Z","title_canon_sha256":"fa7b1bd69fe7eaff668cd15192b265f66150e0de519528e841f26814b6ffc3f3"},"schema_version":"1.0","source":{"id":"astro-ph/0410610","kind":"arxiv","version":3}},"canonical_sha256":"372841862851d34dd5522a96cf316f34595b63776b8444df79a5b235840d8644","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"372841862851d34dd5522a96cf316f34595b63776b8444df79a5b235840d8644","first_computed_at":"2026-07-04T16:45:02.818113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:45:02.818113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xD/6j1/PWgcbpr9D3W4XjTEU31K0/UcXt6QbU1SUi0lehS1/i0Mxxm63t1ft22vzJdQSSvqHZgl5bvSV85U1Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:45:02.818555Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0410610","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7db45b307a0965ea27d26380234c7455daef9487c286434df1eef6317c88cd4","sha256:efc7ae632674c4b0be8106b1fa2f7ee2e359c054da7988656c4d90482ae7a11c"],"state_sha256":"5d4fbbc51b882d11f081f24320a12e3b04d5934df22fbb9b45bfc3f7d702d7df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oiYTGXcz7rwlPjHK7jognAT7LiNfAAKKmWnLvs3bmw4oVvMj/zc3SQH3/Qp0DvG/Ry+BqdRv/ypyt4qwXgrfBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T22:12:58.625730Z","bundle_sha256":"ad43e390bd9e2bfa0b5f9954b68de3f37a756508826852f4579e8df86097f6f2"}}