{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:624IREQ37LJX7OI7WJRHH5AZ34","short_pith_number":"pith:624IREQ3","canonical_record":{"source":{"id":"1512.02065","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T14:34:27Z","cross_cats_sorted":["astro-ph.GA","astro-ph.HE"],"title_canon_sha256":"637f0828bd4e1962306dd1270a3beee774f04296c3b32fd17dc66e81e38b7485","abstract_canon_sha256":"307e57d6b14ddd4bfad8381aebeb875b2ae1b1e4188a3508daaad77c52c3ca40"},"schema_version":"1.0"},"canonical_sha256":"f6b888921bfad37fb91fb26273f419df3e00de01dd6835693e5e749414f53ab2","source":{"kind":"arxiv","id":"1512.02065","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02065","created_at":"2026-05-18T01:14:29Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02065v3","created_at":"2026-05-18T01:14:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02065","created_at":"2026-05-18T01:14:29Z"},{"alias_kind":"pith_short_12","alias_value":"624IREQ37LJX","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"624IREQ37LJX7OI7","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"624IREQ3","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:624IREQ37LJX7OI7WJRHH5AZ34","target":"record","payload":{"canonical_record":{"source":{"id":"1512.02065","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T14:34:27Z","cross_cats_sorted":["astro-ph.GA","astro-ph.HE"],"title_canon_sha256":"637f0828bd4e1962306dd1270a3beee774f04296c3b32fd17dc66e81e38b7485","abstract_canon_sha256":"307e57d6b14ddd4bfad8381aebeb875b2ae1b1e4188a3508daaad77c52c3ca40"},"schema_version":"1.0"},"canonical_sha256":"f6b888921bfad37fb91fb26273f419df3e00de01dd6835693e5e749414f53ab2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:29.118555Z","signature_b64":"LnB+NVgv8jC+6MGma2JqRGRB+JeekQwgVWxETZraJeJ6mXYn3mvMKF44eXz6cq+l7Deazr9mPpq/dPCtJOZHBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6b888921bfad37fb91fb26273f419df3e00de01dd6835693e5e749414f53ab2","last_reissued_at":"2026-05-18T01:14:29.117859Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:29.117859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.02065","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:14:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uUUrhhcCfyqMbCXMngXZh5empRr8eO37qlXHgT74ooFCyR3KLCLEEQ3OGklAA/9OFrA49H3pXTfx4kdu6Cm8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:35:35.966105Z"},"content_sha256":"91718742f861ae5ac81a7cd7a36326a4c3635cc9faa55753154ec0fa5097263f","schema_version":"1.0","event_id":"sha256:91718742f861ae5ac81a7cd7a36326a4c3635cc9faa55753154ec0fa5097263f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:624IREQ37LJX7OI7WJRHH5AZ34","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cyclic and heteroclinic flows near general static spherically symmetric black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"Ayyesha K. Ahmed, Mir Faizal, Mubasher Jamil, Mustapha Azreg-A\\\"inou (C. Author)","submitted_at":"2015-12-07T14:34:27Z","abstract_excerpt":"We investigate the Michel-type accretion onto a static spherically symmetric black hole. Using a Hamiltonian dynamical approach, we show that the standard method employed for tackling the accretion problem has masked some properties of the fluid flow. We determine new analytical solutions that are neither transonic nor supersonic as the fluid approaches the horizon(s); rather, they remain subsonic for all values of the radial coordinate. Moreover, the three velocity vanishes and the pressure diverges on the horizon(s), resulting in a flowout of the fluid under the effect of its own pressure. T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02065","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:14:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TFDrflczb+POGtDy8p+gjgyirgHZkBTSJSZ1Ip0HR9pf5v5MfufpUVDdSHEpIRDOJhoxoXU2Qh8twv0mM7/FBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:35:35.966789Z"},"content_sha256":"9996c45d7d6237473000cd1d7165dd77cbd0b005b36ccd24334c78b5792563c9","schema_version":"1.0","event_id":"sha256:9996c45d7d6237473000cd1d7165dd77cbd0b005b36ccd24334c78b5792563c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/624IREQ37LJX7OI7WJRHH5AZ34/bundle.json","state_url":"https://pith.science/pith/624IREQ37LJX7OI7WJRHH5AZ34/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/624IREQ37LJX7OI7WJRHH5AZ34/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":"2026-05-28T18:35:35Z","links":{"resolver":"https://pith.science/pith/624IREQ37LJX7OI7WJRHH5AZ34","bundle":"https://pith.science/pith/624IREQ37LJX7OI7WJRHH5AZ34/bundle.json","state":"https://pith.science/pith/624IREQ37LJX7OI7WJRHH5AZ34/state.json","well_known_bundle":"https://pith.science/.well-known/pith/624IREQ37LJX7OI7WJRHH5AZ34/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:624IREQ37LJX7OI7WJRHH5AZ34","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":"307e57d6b14ddd4bfad8381aebeb875b2ae1b1e4188a3508daaad77c52c3ca40","cross_cats_sorted":["astro-ph.GA","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T14:34:27Z","title_canon_sha256":"637f0828bd4e1962306dd1270a3beee774f04296c3b32fd17dc66e81e38b7485"},"schema_version":"1.0","source":{"id":"1512.02065","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02065","created_at":"2026-05-18T01:14:29Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02065v3","created_at":"2026-05-18T01:14:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02065","created_at":"2026-05-18T01:14:29Z"},{"alias_kind":"pith_short_12","alias_value":"624IREQ37LJX","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"624IREQ37LJX7OI7","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"624IREQ3","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:9996c45d7d6237473000cd1d7165dd77cbd0b005b36ccd24334c78b5792563c9","target":"graph","created_at":"2026-05-18T01:14:29Z","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"},"paper":{"abstract_excerpt":"We investigate the Michel-type accretion onto a static spherically symmetric black hole. Using a Hamiltonian dynamical approach, we show that the standard method employed for tackling the accretion problem has masked some properties of the fluid flow. We determine new analytical solutions that are neither transonic nor supersonic as the fluid approaches the horizon(s); rather, they remain subsonic for all values of the radial coordinate. Moreover, the three velocity vanishes and the pressure diverges on the horizon(s), resulting in a flowout of the fluid under the effect of its own pressure. T","authors_text":"Ayyesha K. Ahmed, Mir Faizal, Mubasher Jamil, Mustapha Azreg-A\\\"inou (C. Author)","cross_cats":["astro-ph.GA","astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T14:34:27Z","title":"Cyclic and heteroclinic flows near general static spherically symmetric black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02065","kind":"arxiv","version":3},"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":"sha256:91718742f861ae5ac81a7cd7a36326a4c3635cc9faa55753154ec0fa5097263f","target":"record","created_at":"2026-05-18T01:14:29Z","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":"307e57d6b14ddd4bfad8381aebeb875b2ae1b1e4188a3508daaad77c52c3ca40","cross_cats_sorted":["astro-ph.GA","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T14:34:27Z","title_canon_sha256":"637f0828bd4e1962306dd1270a3beee774f04296c3b32fd17dc66e81e38b7485"},"schema_version":"1.0","source":{"id":"1512.02065","kind":"arxiv","version":3}},"canonical_sha256":"f6b888921bfad37fb91fb26273f419df3e00de01dd6835693e5e749414f53ab2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6b888921bfad37fb91fb26273f419df3e00de01dd6835693e5e749414f53ab2","first_computed_at":"2026-05-18T01:14:29.117859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:29.117859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LnB+NVgv8jC+6MGma2JqRGRB+JeekQwgVWxETZraJeJ6mXYn3mvMKF44eXz6cq+l7Deazr9mPpq/dPCtJOZHBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:29.118555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.02065","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91718742f861ae5ac81a7cd7a36326a4c3635cc9faa55753154ec0fa5097263f","sha256:9996c45d7d6237473000cd1d7165dd77cbd0b005b36ccd24334c78b5792563c9"],"state_sha256":"3b9a8c4d6f8d1cb9a05e54d91cee68ac359111c40d10b2a9d3a08009825dccf2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ktDFsqKM8Omh9OtbdNzuSxAv1nTsDD5LIKyBFRNiMD+vGA6yOrvZtOBb8ScWtCbiD69vHxeSIrRatKJ+KnhXAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:35:35.970275Z","bundle_sha256":"43c698312a53f1f6184c7143938d776da71e691253b725e9b9c1d2281b17cf92"}}