{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4VP2B5HQ2EDZ5EEOA7MC4Q4I3H","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":"5fd628bea4c434c233868b66d019e4f1c9ee9ec4ae333722d2bab1333608d4bf","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-23T18:04:49Z","title_canon_sha256":"5a79f72f83142584579c1a167b3f434387ddeb8b483c71e0f43bee44b6932074"},"schema_version":"1.0","source":{"id":"1107.4701","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4701","created_at":"2026-05-18T03:23:22Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4701v3","created_at":"2026-05-18T03:23:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4701","created_at":"2026-05-18T03:23:22Z"},{"alias_kind":"pith_short_12","alias_value":"4VP2B5HQ2EDZ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4VP2B5HQ2EDZ5EEO","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4VP2B5HQ","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:7e3267e93b9f11a156e79bc1a85167cdb725684c22f2450fbf7e073990d7b70f","target":"graph","created_at":"2026-05-18T03:23:22Z","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"},"paper":{"abstract_excerpt":"We study the conditions of a possible static equilibrium between spherically symmetric, electrically charged or neutral black holes and ambient matter. The following kinds of matter are considered: (1) neutral and charged matter with a linear equation of state p_r = w\\rho (for neutral matter the results of our previous work are reproduced), (2) neutral and charged matter with p_r \\sim \\rho^m, m > 1, and (3) the possible presence of a \"vacuum fluid\" (the cosmological constant or, more generally, anything that satisfies the equality T^0_0 = T^1_1 at least at the horizon). We find a number of new","authors_text":"K.A. Bronnikov, O.B. Zaslavskii","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-23T18:04:49Z","title":"Neutral and charged matter in equilibrium with black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4701","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":"sha256:156c656cb051c2348d2ed266f60f3a7002ba438935a0a5e8ff970c68557b436f","target":"record","created_at":"2026-05-18T03:23:22Z","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":"5fd628bea4c434c233868b66d019e4f1c9ee9ec4ae333722d2bab1333608d4bf","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-23T18:04:49Z","title_canon_sha256":"5a79f72f83142584579c1a167b3f434387ddeb8b483c71e0f43bee44b6932074"},"schema_version":"1.0","source":{"id":"1107.4701","kind":"arxiv","version":3}},"canonical_sha256":"e55fa0f4f0d1079e908e07d82e4388d9e79577a311c10d0c200ff24e6c48b752","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e55fa0f4f0d1079e908e07d82e4388d9e79577a311c10d0c200ff24e6c48b752","first_computed_at":"2026-05-18T03:23:22.815455Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:22.815455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p4zB6JrZZlXC0eUFOh+MW5cuA5tRfui8VEfE2bbwJaVPLaC6eutSAZSwdhg1qB6ynXOTH8QTjWkFUw7XDw23BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:22.816233Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4701","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:156c656cb051c2348d2ed266f60f3a7002ba438935a0a5e8ff970c68557b436f","sha256:7e3267e93b9f11a156e79bc1a85167cdb725684c22f2450fbf7e073990d7b70f"],"state_sha256":"f6b92ab1f09adc821f9f009a6553f8883d2a740955adc4a1f90cbb3a144ec75b"}