{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:TH7RCVJRRMLXMCQFPULQNIG2D5","short_pith_number":"pith:TH7RCVJR","canonical_record":{"source":{"id":"2410.04175","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-05T14:41:16Z","cross_cats_sorted":[],"title_canon_sha256":"c61e96c2804113c389fc77092114d1996270f1c28d50c0318adbd7b3a10cc7d2","abstract_canon_sha256":"6c35a0ca0a242fd13933bbac92a8fd2163b8e20c05dbc33315c9efad9861b7c7"},"schema_version":"1.0"},"canonical_sha256":"99ff1155318b17760a057d1706a0da1f62adf8e0ff1dfc9cf0bdf1d46f846f48","source":{"kind":"arxiv","id":"2410.04175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.04175","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"arxiv_version","alias_value":"2410.04175v1","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.04175","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"pith_short_12","alias_value":"TH7RCVJRRMLX","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"pith_short_16","alias_value":"TH7RCVJRRMLXMCQF","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"pith_short_8","alias_value":"TH7RCVJR","created_at":"2026-07-05T09:16:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:TH7RCVJRRMLXMCQFPULQNIG2D5","target":"record","payload":{"canonical_record":{"source":{"id":"2410.04175","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-05T14:41:16Z","cross_cats_sorted":[],"title_canon_sha256":"c61e96c2804113c389fc77092114d1996270f1c28d50c0318adbd7b3a10cc7d2","abstract_canon_sha256":"6c35a0ca0a242fd13933bbac92a8fd2163b8e20c05dbc33315c9efad9861b7c7"},"schema_version":"1.0"},"canonical_sha256":"99ff1155318b17760a057d1706a0da1f62adf8e0ff1dfc9cf0bdf1d46f846f48","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:16:30.014260Z","signature_b64":"EX1t6n7j57g+Vg/OIJJ13gzvRU6mhHgLP1cYl8Edv6K+nJgSreaDQK0/a8PlqTB+IUP0trSu0IEYYD5DMhPCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99ff1155318b17760a057d1706a0da1f62adf8e0ff1dfc9cf0bdf1d46f846f48","last_reissued_at":"2026-07-05T09:16:30.013766Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:16:30.013766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.04175","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:16:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hGPra14MjK6qPN7hCOctytBXTMuLTFGYuS6BxY86W+nQX2ESB9g4INKubRUNS/8RSMaUQUL8Bi3SgPruAHqnAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:50:52.462481Z"},"content_sha256":"ea5c3d797dd12c87862775e937ea05f252cccecfe0aa1de188e92bb5e1a67b8b","schema_version":"1.0","event_id":"sha256:ea5c3d797dd12c87862775e937ea05f252cccecfe0aa1de188e92bb5e1a67b8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:TH7RCVJRRMLXMCQFPULQNIG2D5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Einstein Cluster as Central Spiky Distribution of Galactic Dark Matter","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Anzhong Wang, Kei-ichi Maeda, Vitor Cardoso","submitted_at":"2024-10-05T14:41:16Z","abstract_excerpt":"Using the Einstein cluster models, we construct a fully relativistic, spherically symmetric, spiky structure of matter distribution near a supermassive black hole. We introduce and discuss three simple toy models, together with a more realistic model, which includes a Hernquist-type distribution with a typical galaxy scale. We find that the innermost stable circular orbit (ISCO) depends on the details of the environment, and lies between the photon radius (at $3M_{\\rm BH}$) and the ISCO radius of an isolated black hole of mass $M_{\\rm BH}$ (at $6M_{\\rm BH}$)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.04175","kind":"arxiv","version":1},"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/2410.04175/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":"2026-07-05T09:16:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wimDRDtBtAzh2RuTFXyvRFGH33BDmgD0W9tIDHjxTJRYUlzNVQWwfCncZS4KmRapMd7DhSNtrATevF7RbhF1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:50:52.463029Z"},"content_sha256":"9d6ce55f09fe6f95bb81dc8d4a3577037794a4550d1a85e2a6e110023486526e","schema_version":"1.0","event_id":"sha256:9d6ce55f09fe6f95bb81dc8d4a3577037794a4550d1a85e2a6e110023486526e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TH7RCVJRRMLXMCQFPULQNIG2D5/bundle.json","state_url":"https://pith.science/pith/TH7RCVJRRMLXMCQFPULQNIG2D5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TH7RCVJRRMLXMCQFPULQNIG2D5/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":"2026-08-04T16:50:52Z","links":{"resolver":"https://pith.science/pith/TH7RCVJRRMLXMCQFPULQNIG2D5","bundle":"https://pith.science/pith/TH7RCVJRRMLXMCQFPULQNIG2D5/bundle.json","state":"https://pith.science/pith/TH7RCVJRRMLXMCQFPULQNIG2D5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TH7RCVJRRMLXMCQFPULQNIG2D5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TH7RCVJRRMLXMCQFPULQNIG2D5","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":"6c35a0ca0a242fd13933bbac92a8fd2163b8e20c05dbc33315c9efad9861b7c7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-05T14:41:16Z","title_canon_sha256":"c61e96c2804113c389fc77092114d1996270f1c28d50c0318adbd7b3a10cc7d2"},"schema_version":"1.0","source":{"id":"2410.04175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.04175","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"arxiv_version","alias_value":"2410.04175v1","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.04175","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"pith_short_12","alias_value":"TH7RCVJRRMLX","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"pith_short_16","alias_value":"TH7RCVJRRMLXMCQF","created_at":"2026-07-05T09:16:30Z"},{"alias_kind":"pith_short_8","alias_value":"TH7RCVJR","created_at":"2026-07-05T09:16:30Z"}],"graph_snapshots":[{"event_id":"sha256:9d6ce55f09fe6f95bb81dc8d4a3577037794a4550d1a85e2a6e110023486526e","target":"graph","created_at":"2026-07-05T09:16:30Z","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/2410.04175/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using the Einstein cluster models, we construct a fully relativistic, spherically symmetric, spiky structure of matter distribution near a supermassive black hole. We introduce and discuss three simple toy models, together with a more realistic model, which includes a Hernquist-type distribution with a typical galaxy scale. We find that the innermost stable circular orbit (ISCO) depends on the details of the environment, and lies between the photon radius (at $3M_{\\rm BH}$) and the ISCO radius of an isolated black hole of mass $M_{\\rm BH}$ (at $6M_{\\rm BH}$).","authors_text":"Anzhong Wang, Kei-ichi Maeda, Vitor Cardoso","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-05T14:41:16Z","title":"Einstein Cluster as Central Spiky Distribution of Galactic Dark Matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.04175","kind":"arxiv","version":1},"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:ea5c3d797dd12c87862775e937ea05f252cccecfe0aa1de188e92bb5e1a67b8b","target":"record","created_at":"2026-07-05T09:16:30Z","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":"6c35a0ca0a242fd13933bbac92a8fd2163b8e20c05dbc33315c9efad9861b7c7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-05T14:41:16Z","title_canon_sha256":"c61e96c2804113c389fc77092114d1996270f1c28d50c0318adbd7b3a10cc7d2"},"schema_version":"1.0","source":{"id":"2410.04175","kind":"arxiv","version":1}},"canonical_sha256":"99ff1155318b17760a057d1706a0da1f62adf8e0ff1dfc9cf0bdf1d46f846f48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99ff1155318b17760a057d1706a0da1f62adf8e0ff1dfc9cf0bdf1d46f846f48","first_computed_at":"2026-07-05T09:16:30.013766Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:16:30.013766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EX1t6n7j57g+Vg/OIJJ13gzvRU6mhHgLP1cYl8Edv6K+nJgSreaDQK0/a8PlqTB+IUP0trSu0IEYYD5DMhPCDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:16:30.014260Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.04175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea5c3d797dd12c87862775e937ea05f252cccecfe0aa1de188e92bb5e1a67b8b","sha256:9d6ce55f09fe6f95bb81dc8d4a3577037794a4550d1a85e2a6e110023486526e"],"state_sha256":"dae525660d0c844d24f6bd060352b475171fc7326f4cbf39c2ee88bfc591e139"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hTMED6lmgrN/Zk40vv6caZmKG0Gj9ryJt2QYe13NG6UccmPQfBb7UNLuYQNfVf0doIqz6m0lk5OyM8xysg3vAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T16:50:52.466939Z","bundle_sha256":"609dab35aeba7206dc1d8403b27c3df11730cd5c9c62a0fd23c6a89af2a55b01"}}