{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:OKC3VUYZSF2DREMSPU4NLT6MDL","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":"335d02f0d2949e9cfc4353a48360f70887c1d6760134a88fc91c4bb77ba82a8a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2020-09-16T06:15:49Z","title_canon_sha256":"d5681390f54b81b48cfc3b0fb0a802ec5ea5e474b32aae1b4019cc45c1bafc63"},"schema_version":"1.0","source":{"id":"2009.07487","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.07487","created_at":"2026-07-05T02:06:13Z"},{"alias_kind":"arxiv_version","alias_value":"2009.07487v2","created_at":"2026-07-05T02:06:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.07487","created_at":"2026-07-05T02:06:13Z"},{"alias_kind":"pith_short_12","alias_value":"OKC3VUYZSF2D","created_at":"2026-07-05T02:06:13Z"},{"alias_kind":"pith_short_16","alias_value":"OKC3VUYZSF2DREMS","created_at":"2026-07-05T02:06:13Z"},{"alias_kind":"pith_short_8","alias_value":"OKC3VUYZ","created_at":"2026-07-05T02:06:13Z"}],"graph_snapshots":[{"event_id":"sha256:c5a936452124dfdf2d85da70e6113c0f5d31982aab920f2671ec96443ae46d0b","target":"graph","created_at":"2026-07-05T02:06:13Z","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/2009.07487/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we derive general conditions for a shadow to occur, without a photon sphere in a spacetime, caused by central nulllike or timelike naked singularities. Using these conditions, we propose classes of spacetimes which have nulllike and timelike naked singularities at the center, and that fulfill these `shadow without photon sphere' conditions. Considering additional asymptotically flat conditions, we show that, for a fixed Schwarzschild mass, the timelike naked singularities can cast a shadow of a size that is equal to, greater or smaller, than the size of a black hole shadow. On t","authors_text":"Dipanjan Dey, Pankaj S. Joshi, Rajibul Shaikh","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2020-09-16T06:15:49Z","title":"Shadow of nulllike and timelike naked singularities without photon spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.07487","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":"sha256:9a3fd103f973f936ea529d7839e4708bd698d6fb42ff597b760424f3c70389cf","target":"record","created_at":"2026-07-05T02:06:13Z","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":"335d02f0d2949e9cfc4353a48360f70887c1d6760134a88fc91c4bb77ba82a8a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2020-09-16T06:15:49Z","title_canon_sha256":"d5681390f54b81b48cfc3b0fb0a802ec5ea5e474b32aae1b4019cc45c1bafc63"},"schema_version":"1.0","source":{"id":"2009.07487","kind":"arxiv","version":2}},"canonical_sha256":"7285bad31991743891927d38d5cfcc1ad9996efe5673b6de683d4c9b51a8ceae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7285bad31991743891927d38d5cfcc1ad9996efe5673b6de683d4c9b51a8ceae","first_computed_at":"2026-07-05T02:06:13.691395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:06:13.691395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kX2/3EeBs96XF1Fs/Z1AikYxGLla9OdHMpjFF4uYtkLoBgs/nVJI9cARssvWeLkPsk/nkwEw8HbfQ8MjPbuwAg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:06:13.691798Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.07487","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a3fd103f973f936ea529d7839e4708bd698d6fb42ff597b760424f3c70389cf","sha256:c5a936452124dfdf2d85da70e6113c0f5d31982aab920f2671ec96443ae46d0b"],"state_sha256":"86634332aa73865e0eed7e90277227ddf76977fbe0e1155dcf093fbe60e9b1b8"}