{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:I4XZD3UR3PO3LGUKERL3QIZA6D","short_pith_number":"pith:I4XZD3UR","canonical_record":{"source":{"id":"2501.00361","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-31T09:26:18Z","cross_cats_sorted":[],"title_canon_sha256":"ae7cd4a94a234af39bc867d027d718a74071613858316c713db4f4742713a751","abstract_canon_sha256":"85d7df36a5134be7c201a8a14ae95c4d6ee5eb6ddf0471a99e3100c9b6173cc1"},"schema_version":"1.0"},"canonical_sha256":"472f91ee91dbddb59a8a2457b82320f0cae82f248785073c701cd744f4d85c0a","source":{"kind":"arxiv","id":"2501.00361","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.00361","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"arxiv_version","alias_value":"2501.00361v6","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00361","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"pith_short_12","alias_value":"I4XZD3UR3PO3","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"pith_short_16","alias_value":"I4XZD3UR3PO3LGUK","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"pith_short_8","alias_value":"I4XZD3UR","created_at":"2026-07-05T11:23:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:I4XZD3UR3PO3LGUKERL3QIZA6D","target":"record","payload":{"canonical_record":{"source":{"id":"2501.00361","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-31T09:26:18Z","cross_cats_sorted":[],"title_canon_sha256":"ae7cd4a94a234af39bc867d027d718a74071613858316c713db4f4742713a751","abstract_canon_sha256":"85d7df36a5134be7c201a8a14ae95c4d6ee5eb6ddf0471a99e3100c9b6173cc1"},"schema_version":"1.0"},"canonical_sha256":"472f91ee91dbddb59a8a2457b82320f0cae82f248785073c701cd744f4d85c0a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:23:22.040721Z","signature_b64":"mQL32DQBDKhumRZY1RV9cDtoMEuQvHW6grHgnliqJFFeJl83lbQn0uAdUhxFLsqY6WRIW0sEJiCrO0927Z0SDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"472f91ee91dbddb59a8a2457b82320f0cae82f248785073c701cd744f4d85c0a","last_reissued_at":"2026-07-05T11:23:22.040235Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:23:22.040235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.00361","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:23:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MOg1qyLO963AEHrhJOQgDu+3ehLpRc+lM13e3AivUo3XqLt+HtMWonGUR+QbX65tJNvLzzT++VuUQuwGgolRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T16:35:12.649149Z"},"content_sha256":"19032406fdba7df5d9c91e5280eacdc32d3713e01288b17e61f32f2d190246df","schema_version":"1.0","event_id":"sha256:19032406fdba7df5d9c91e5280eacdc32d3713e01288b17e61f32f2d190246df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:I4XZD3UR3PO3LGUKERL3QIZA6D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Bofeng Wu, En-Wei Liang, Xiao Zhang","submitted_at":"2024-12-31T09:26:18Z","abstract_excerpt":"In the static and infalling spherical-shell models of optically thin accretion on Schwarzschild black hole, the formulas for the integrated intensities observed by a distant observer are derived, and by taking the monochromatic emission pattern with a $1/r^{2}$ radial profile as example, the black hole images for the spherical shell with different boundaries are plotted. For these BH images, the geometric and luminosity features are summarized, and the qualitative explanations of the luminosity variations between the static and infalling spherical-shell models are provided. A notable feature o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00361","kind":"arxiv","version":6},"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/2501.00361/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":"2026-07-05T11:23:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lBEHJv2FRjwwc0o3K1sYfoXiWJYA9I4cz+pdVoPwE4H1JCfftAYjTcn9rtNqZELJxjm4dMg7ifTlcABnDP6wCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T16:35:12.650129Z"},"content_sha256":"6f52a2684b7b384e460e0525166871623a8103bae0cfe78ef4f599f4d42e9ef0","schema_version":"1.0","event_id":"sha256:6f52a2684b7b384e460e0525166871623a8103bae0cfe78ef4f599f4d42e9ef0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I4XZD3UR3PO3LGUKERL3QIZA6D/bundle.json","state_url":"https://pith.science/pith/I4XZD3UR3PO3LGUKERL3QIZA6D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I4XZD3UR3PO3LGUKERL3QIZA6D/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":"2026-08-13T16:35:12Z","links":{"resolver":"https://pith.science/pith/I4XZD3UR3PO3LGUKERL3QIZA6D","bundle":"https://pith.science/pith/I4XZD3UR3PO3LGUKERL3QIZA6D/bundle.json","state":"https://pith.science/pith/I4XZD3UR3PO3LGUKERL3QIZA6D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I4XZD3UR3PO3LGUKERL3QIZA6D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:I4XZD3UR3PO3LGUKERL3QIZA6D","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":"85d7df36a5134be7c201a8a14ae95c4d6ee5eb6ddf0471a99e3100c9b6173cc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-31T09:26:18Z","title_canon_sha256":"ae7cd4a94a234af39bc867d027d718a74071613858316c713db4f4742713a751"},"schema_version":"1.0","source":{"id":"2501.00361","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.00361","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"arxiv_version","alias_value":"2501.00361v6","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00361","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"pith_short_12","alias_value":"I4XZD3UR3PO3","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"pith_short_16","alias_value":"I4XZD3UR3PO3LGUK","created_at":"2026-07-05T11:23:22Z"},{"alias_kind":"pith_short_8","alias_value":"I4XZD3UR","created_at":"2026-07-05T11:23:22Z"}],"graph_snapshots":[{"event_id":"sha256:6f52a2684b7b384e460e0525166871623a8103bae0cfe78ef4f599f4d42e9ef0","target":"graph","created_at":"2026-07-05T11:23:22Z","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/2501.00361/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the static and infalling spherical-shell models of optically thin accretion on Schwarzschild black hole, the formulas for the integrated intensities observed by a distant observer are derived, and by taking the monochromatic emission pattern with a $1/r^{2}$ radial profile as example, the black hole images for the spherical shell with different boundaries are plotted. For these BH images, the geometric and luminosity features are summarized, and the qualitative explanations of the luminosity variations between the static and infalling spherical-shell models are provided. A notable feature o","authors_text":"Bofeng Wu, En-Wei Liang, Xiao Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-31T09:26:18Z","title":"Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00361","kind":"arxiv","version":6},"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":"sha256:19032406fdba7df5d9c91e5280eacdc32d3713e01288b17e61f32f2d190246df","target":"record","created_at":"2026-07-05T11:23:22Z","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":"85d7df36a5134be7c201a8a14ae95c4d6ee5eb6ddf0471a99e3100c9b6173cc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-31T09:26:18Z","title_canon_sha256":"ae7cd4a94a234af39bc867d027d718a74071613858316c713db4f4742713a751"},"schema_version":"1.0","source":{"id":"2501.00361","kind":"arxiv","version":6}},"canonical_sha256":"472f91ee91dbddb59a8a2457b82320f0cae82f248785073c701cd744f4d85c0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"472f91ee91dbddb59a8a2457b82320f0cae82f248785073c701cd744f4d85c0a","first_computed_at":"2026-07-05T11:23:22.040235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:23:22.040235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mQL32DQBDKhumRZY1RV9cDtoMEuQvHW6grHgnliqJFFeJl83lbQn0uAdUhxFLsqY6WRIW0sEJiCrO0927Z0SDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:23:22.040721Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.00361","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19032406fdba7df5d9c91e5280eacdc32d3713e01288b17e61f32f2d190246df","sha256:6f52a2684b7b384e460e0525166871623a8103bae0cfe78ef4f599f4d42e9ef0"],"state_sha256":"8ce40d36d7833059beaa2cb69f796d0d86fdbd26781a74fbf725dc0bbea29c15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8/wqjQqMMhrTrYxpK89zvcBJR955Y9c3KvEAnF6Kz4Yd7JXkqQvOz+5Vq6gHxHrkT7jPp/HaiRXktE2XrmtACA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T16:35:12.657360Z","bundle_sha256":"293435dbd084ed01d830aabb2ada8f99c4d0011a45eea8406bde208e8a4febfe"}}