{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:6OJN6YZDY2FTS4YO2FX6QQQJLT","short_pith_number":"pith:6OJN6YZD","schema_version":"1.0","canonical_sha256":"f392df6323c68b39730ed16fe842095ce52ef041927d3328a1adf1830cf96b34","source":{"kind":"arxiv","id":"2102.03820","version":4},"attestation_state":"computed","paper":{"title":"Cuspy and fractured black hole shadows in a toy model with axisymmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Bin Wang, Cheng-Gang Shao, Rui-Hong Yue, Songbai Chen, Wei-Liang Qian","submitted_at":"2021-02-07T15:32:08Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2102.03820","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-02-07T15:32:08Z","cross_cats_sorted":[],"title_canon_sha256":"bef11778193f80ac882aa0165606f9d3943d720a53244b6b3105e37a8b143779","abstract_canon_sha256":"40fd05869ed7913c87df34be6e188aff5725dad576ec38223c799fbc4fd3b314"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:56:45.713326Z","signature_b64":"0ZBdgIt3wUAJOYYFmntEszWnaokKmbKSmAVs2je8xBIX6zCkkvXVAtbP6Tga1RuGZJOFjBoflNvOwfqjVICUCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f392df6323c68b39730ed16fe842095ce52ef041927d3328a1adf1830cf96b34","last_reissued_at":"2026-07-05T03:56:45.712759Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:56:45.712759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cuspy and fractured black hole shadows in a toy model with axisymmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Bin Wang, Cheng-Gang Shao, Rui-Hong Yue, Songbai Chen, Wei-Liang Qian","submitted_at":"2021-02-07T15:32:08Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.03820","kind":"arxiv","version":4},"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/2102.03820/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2102.03820","created_at":"2026-07-05T03:56:45.712832+00:00"},{"alias_kind":"arxiv_version","alias_value":"2102.03820v4","created_at":"2026-07-05T03:56:45.712832+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.03820","created_at":"2026-07-05T03:56:45.712832+00:00"},{"alias_kind":"pith_short_12","alias_value":"6OJN6YZDY2FT","created_at":"2026-07-05T03:56:45.712832+00:00"},{"alias_kind":"pith_short_16","alias_value":"6OJN6YZDY2FTS4YO","created_at":"2026-07-05T03:56:45.712832+00:00"},{"alias_kind":"pith_short_8","alias_value":"6OJN6YZD","created_at":"2026-07-05T03:56:45.712832+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2602.14182","citing_title":"On the Cuspy Structure of Rotating Wormhole Shadows","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03428","citing_title":"Families of regular spacetimes and energy conditions","ref_index":114,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03428","citing_title":"Families of regular spacetimes and energy conditions","ref_index":117,"is_internal_anchor":false},{"citing_arxiv_id":"2604.04441","citing_title":"Gravity/thermodynamics correspondence via black hole shadows","ref_index":48,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6OJN6YZDY2FTS4YO2FX6QQQJLT","json":"https://pith.science/pith/6OJN6YZDY2FTS4YO2FX6QQQJLT.json","graph_json":"https://pith.science/api/pith-number/6OJN6YZDY2FTS4YO2FX6QQQJLT/graph.json","events_json":"https://pith.science/api/pith-number/6OJN6YZDY2FTS4YO2FX6QQQJLT/events.json","paper":"https://pith.science/paper/6OJN6YZD"},"agent_actions":{"view_html":"https://pith.science/pith/6OJN6YZDY2FTS4YO2FX6QQQJLT","download_json":"https://pith.science/pith/6OJN6YZDY2FTS4YO2FX6QQQJLT.json","view_paper":"https://pith.science/paper/6OJN6YZD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2102.03820&json=true","fetch_graph":"https://pith.science/api/pith-number/6OJN6YZDY2FTS4YO2FX6QQQJLT/graph.json","fetch_events":"https://pith.science/api/pith-number/6OJN6YZDY2FTS4YO2FX6QQQJLT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6OJN6YZDY2FTS4YO2FX6QQQJLT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6OJN6YZDY2FTS4YO2FX6QQQJLT/action/storage_attestation","attest_author":"https://pith.science/pith/6OJN6YZDY2FTS4YO2FX6QQQJLT/action/author_attestation","sign_citation":"https://pith.science/pith/6OJN6YZDY2FTS4YO2FX6QQQJLT/action/citation_signature","submit_replication":"https://pith.science/pith/6OJN6YZDY2FTS4YO2FX6QQQJLT/action/replication_record"}},"created_at":"2026-07-05T03:56:45.712832+00:00","updated_at":"2026-07-05T03:56:45.712832+00:00"}