{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:I25SPLNUCRQ7AQ3LOKQ76NRV5F","short_pith_number":"pith:I25SPLNU","canonical_record":{"source":{"id":"2401.09182","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-17T12:47:45Z","cross_cats_sorted":[],"title_canon_sha256":"2fa11c3bc393147a7050e7f85d92a25ba5cc59cbf6a0c7bd1251438426f5d397","abstract_canon_sha256":"5018b47a900252a2f2ba1b4f9ddbb3c243d048de12dd8d8233371495d30468ce"},"schema_version":"1.0"},"canonical_sha256":"46bb27adb41461f0436b72a1ff3635e96216fec5aee42e9fa275ef330ee69c81","source":{"kind":"arxiv","id":"2401.09182","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.09182","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"arxiv_version","alias_value":"2401.09182v2","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.09182","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"pith_short_12","alias_value":"I25SPLNUCRQ7","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"pith_short_16","alias_value":"I25SPLNUCRQ7AQ3L","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"pith_short_8","alias_value":"I25SPLNU","created_at":"2026-07-05T08:48:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:I25SPLNUCRQ7AQ3LOKQ76NRV5F","target":"record","payload":{"canonical_record":{"source":{"id":"2401.09182","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-17T12:47:45Z","cross_cats_sorted":[],"title_canon_sha256":"2fa11c3bc393147a7050e7f85d92a25ba5cc59cbf6a0c7bd1251438426f5d397","abstract_canon_sha256":"5018b47a900252a2f2ba1b4f9ddbb3c243d048de12dd8d8233371495d30468ce"},"schema_version":"1.0"},"canonical_sha256":"46bb27adb41461f0436b72a1ff3635e96216fec5aee42e9fa275ef330ee69c81","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:48:40.653080Z","signature_b64":"hsZi01s9DLavFToNybBfilUXkZ2AEeyYQEGnv2v/JemXmUxFc5oKJoIQQZ3OFzk4+JV0ZqKctEHDlUjOVEbgCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46bb27adb41461f0436b72a1ff3635e96216fec5aee42e9fa275ef330ee69c81","last_reissued_at":"2026-07-05T08:48:40.652548Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:48:40.652548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.09182","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":"2026-07-05T08:48:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NPc3XnVXdQY/Lz/Z/qLemuwJi9hY1tR8LY2s8GdsVsi8fhvuOolCwbl91ywVLyz8aBCpAt1dGWCjdp4YYteACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T05:06:41.110617Z"},"content_sha256":"e1e1cfaa3c10a5988073abe03f70803c9416b9b9e89d790c916cc407e88cd39e","schema_version":"1.0","event_id":"sha256:e1e1cfaa3c10a5988073abe03f70803c9416b9b9e89d790c916cc407e88cd39e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:I25SPLNUCRQ7AQ3LOKQ76NRV5F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probing black holes in a dark matter spike of M87 using quasinormal modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dong Liu, Yi Yang, Zheng-Wen Long","submitted_at":"2024-01-17T12:47:45Z","abstract_excerpt":"Dark matter density can be significantly enhanced by the supermassive black hole at the galactic center, leading to a structure called dark matter spike. Dark matter spike may change the spacetime properties of black holes that constitute deviations from GR black holes. Based on these interesting background, we construct a set of solutions of black holes in a dark matter spike under the Newtonian approximation and full relativity. Combining the mass model of M87, we study the quasinormal modes of black holes in the scalar field and axial gravitational perturbation, then compared them with Schw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.09182","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2401.09182/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":"2026-07-05T08:48:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FLOKdiZtaDqCBMFT/WOgGk3EjlPK/FOruvzttV6OFLjPnAAGFDULjZYW0Vxw3vcJXopYt/jJSBsyUK8Hm10KAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T05:06:41.111492Z"},"content_sha256":"e94d3b643d2fd9b8a935fc979b57f7956a912c7f6a0c0352b6dcbe38aa87a2be","schema_version":"1.0","event_id":"sha256:e94d3b643d2fd9b8a935fc979b57f7956a912c7f6a0c0352b6dcbe38aa87a2be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I25SPLNUCRQ7AQ3LOKQ76NRV5F/bundle.json","state_url":"https://pith.science/pith/I25SPLNUCRQ7AQ3LOKQ76NRV5F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I25SPLNUCRQ7AQ3LOKQ76NRV5F/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":"2026-08-21T05:06:41Z","links":{"resolver":"https://pith.science/pith/I25SPLNUCRQ7AQ3LOKQ76NRV5F","bundle":"https://pith.science/pith/I25SPLNUCRQ7AQ3LOKQ76NRV5F/bundle.json","state":"https://pith.science/pith/I25SPLNUCRQ7AQ3LOKQ76NRV5F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I25SPLNUCRQ7AQ3LOKQ76NRV5F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:I25SPLNUCRQ7AQ3LOKQ76NRV5F","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":"5018b47a900252a2f2ba1b4f9ddbb3c243d048de12dd8d8233371495d30468ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-17T12:47:45Z","title_canon_sha256":"2fa11c3bc393147a7050e7f85d92a25ba5cc59cbf6a0c7bd1251438426f5d397"},"schema_version":"1.0","source":{"id":"2401.09182","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.09182","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"arxiv_version","alias_value":"2401.09182v2","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.09182","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"pith_short_12","alias_value":"I25SPLNUCRQ7","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"pith_short_16","alias_value":"I25SPLNUCRQ7AQ3L","created_at":"2026-07-05T08:48:40Z"},{"alias_kind":"pith_short_8","alias_value":"I25SPLNU","created_at":"2026-07-05T08:48:40Z"}],"graph_snapshots":[{"event_id":"sha256:e94d3b643d2fd9b8a935fc979b57f7956a912c7f6a0c0352b6dcbe38aa87a2be","target":"graph","created_at":"2026-07-05T08:48:40Z","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/2401.09182/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Dark matter density can be significantly enhanced by the supermassive black hole at the galactic center, leading to a structure called dark matter spike. Dark matter spike may change the spacetime properties of black holes that constitute deviations from GR black holes. Based on these interesting background, we construct a set of solutions of black holes in a dark matter spike under the Newtonian approximation and full relativity. Combining the mass model of M87, we study the quasinormal modes of black holes in the scalar field and axial gravitational perturbation, then compared them with Schw","authors_text":"Dong Liu, Yi Yang, Zheng-Wen Long","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-17T12:47:45Z","title":"Probing black holes in a dark matter spike of M87 using quasinormal modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.09182","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:e1e1cfaa3c10a5988073abe03f70803c9416b9b9e89d790c916cc407e88cd39e","target":"record","created_at":"2026-07-05T08:48:40Z","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":"5018b47a900252a2f2ba1b4f9ddbb3c243d048de12dd8d8233371495d30468ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-17T12:47:45Z","title_canon_sha256":"2fa11c3bc393147a7050e7f85d92a25ba5cc59cbf6a0c7bd1251438426f5d397"},"schema_version":"1.0","source":{"id":"2401.09182","kind":"arxiv","version":2}},"canonical_sha256":"46bb27adb41461f0436b72a1ff3635e96216fec5aee42e9fa275ef330ee69c81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46bb27adb41461f0436b72a1ff3635e96216fec5aee42e9fa275ef330ee69c81","first_computed_at":"2026-07-05T08:48:40.652548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:48:40.652548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hsZi01s9DLavFToNybBfilUXkZ2AEeyYQEGnv2v/JemXmUxFc5oKJoIQQZ3OFzk4+JV0ZqKctEHDlUjOVEbgCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:48:40.653080Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.09182","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1e1cfaa3c10a5988073abe03f70803c9416b9b9e89d790c916cc407e88cd39e","sha256:e94d3b643d2fd9b8a935fc979b57f7956a912c7f6a0c0352b6dcbe38aa87a2be"],"state_sha256":"24cbf9c6f2e5b17ce78d83d0a14c89fbb3f0021462778de8093a6defe7024d60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bq8W5DlJIFu/5efBZR3tfo7t4A5FRrJunhwDR7tInYhTo187K25r6GSpXdwrkpXWiy0uLBiavqPiP0+6N1XKDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T05:06:41.117954Z","bundle_sha256":"b3698697e2345c1f46bbde440abcf51c91d9b45fe8b5a210233a469725fe8cdb"}}