{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:6OJN6YZDY2FTS4YO2FX6QQQJLT","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":"40fd05869ed7913c87df34be6e188aff5725dad576ec38223c799fbc4fd3b314","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-02-07T15:32:08Z","title_canon_sha256":"bef11778193f80ac882aa0165606f9d3943d720a53244b6b3105e37a8b143779"},"schema_version":"1.0","source":{"id":"2102.03820","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.03820","created_at":"2026-07-05T03:56:45Z"},{"alias_kind":"arxiv_version","alias_value":"2102.03820v4","created_at":"2026-07-05T03:56:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.03820","created_at":"2026-07-05T03:56:45Z"},{"alias_kind":"pith_short_12","alias_value":"6OJN6YZDY2FT","created_at":"2026-07-05T03:56:45Z"},{"alias_kind":"pith_short_16","alias_value":"6OJN6YZDY2FTS4YO","created_at":"2026-07-05T03:56:45Z"},{"alias_kind":"pith_short_8","alias_value":"6OJN6YZD","created_at":"2026-07-05T03:56:45Z"}],"graph_snapshots":[{"event_id":"sha256:d849fed01fe221bde018ff06b7186c00d60e58a2ce2fb3fa83b3925c27c04b1e","target":"graph","created_at":"2026-07-05T03:56:45Z","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/2102.03820/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Cuspy shadow was first reported for hairy rotating black holes, whose metrics deviate significantly from the Kerr one. The non-smooth edge of the shadow is attributed to a transition between different branches of unstable but bounded orbits, known as the fundamental photon orbits, which end up at the light rings. In searching for a minimal theoretical setup to reproduce such a salient feature, in this work, we devise a toy model with axisymmetry, a slowly rotating Kerr black hole enveloped by a thin slowly rotating dark matter shell. Despite its simplicity, we show rich structures regarding fu","authors_text":"Bin Wang, Cheng-Gang Shao, Rui-Hong Yue, Songbai Chen, Wei-Liang Qian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-02-07T15:32:08Z","title":"Cuspy and fractured black hole shadows in a toy model with axisymmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.03820","kind":"arxiv","version":4},"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":"sha256:1135f130c34c35ef018f21f69ba277ede7106f5558102d5fdc1fd10e1dd778f5","target":"record","created_at":"2026-07-05T03:56:45Z","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":"40fd05869ed7913c87df34be6e188aff5725dad576ec38223c799fbc4fd3b314","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-02-07T15:32:08Z","title_canon_sha256":"bef11778193f80ac882aa0165606f9d3943d720a53244b6b3105e37a8b143779"},"schema_version":"1.0","source":{"id":"2102.03820","kind":"arxiv","version":4}},"canonical_sha256":"f392df6323c68b39730ed16fe842095ce52ef041927d3328a1adf1830cf96b34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f392df6323c68b39730ed16fe842095ce52ef041927d3328a1adf1830cf96b34","first_computed_at":"2026-07-05T03:56:45.712759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:56:45.712759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ZBdgIt3wUAJOYYFmntEszWnaokKmbKSmAVs2je8xBIX6zCkkvXVAtbP6Tga1RuGZJOFjBoflNvOwfqjVICUCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:56:45.713326Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.03820","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1135f130c34c35ef018f21f69ba277ede7106f5558102d5fdc1fd10e1dd778f5","sha256:d849fed01fe221bde018ff06b7186c00d60e58a2ce2fb3fa83b3925c27c04b1e"],"state_sha256":"c193f857a341998b6237184037f29b142b86191c937735425788d3aac7ef77dd"}