{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EPPRB3RZZOCIQF25QD4JFOWCMC","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":"19cc7e2214008e4468155a4b76b1cd9677f818d9f1eb146a122cd80807d6308c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-24T13:29:13Z","title_canon_sha256":"a51eece1c064ec7336793da27dff9211ac08460366d0c649c14fb6cde9969a9b"},"schema_version":"1.0","source":{"id":"2605.25071","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25071","created_at":"2026-05-26T02:03:38Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25071v1","created_at":"2026-05-26T02:03:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25071","created_at":"2026-05-26T02:03:38Z"},{"alias_kind":"pith_short_12","alias_value":"EPPRB3RZZOCI","created_at":"2026-05-26T02:03:38Z"},{"alias_kind":"pith_short_16","alias_value":"EPPRB3RZZOCIQF25","created_at":"2026-05-26T02:03:38Z"},{"alias_kind":"pith_short_8","alias_value":"EPPRB3RZ","created_at":"2026-05-26T02:03:38Z"}],"graph_snapshots":[{"event_id":"sha256:fd319db71758f599fedc2bccf25a0f742e9db254785d7928a2022fec0c09ffe4","target":"graph","created_at":"2026-05-26T02:03:38Z","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/2605.25071/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the field-theoretic realization of regular black holes sourced by dark matter halo profiles within nonlinear electrodynamics (NED) minimally coupled to gravity. Starting from a static, spherically symmetric geometry determined by a halo density profile $\\rho(r)$, we reconstruct the associated mass function and derive the effective matter source supporting the spacetime. In the magnetic sector, the reconstruction is direct and yields a NED Lagrangian of the form $L(F)=-\\rho(r(F))$, while in the electric sector the theory is obtained parametrically through the field equations. We ","authors_text":"C. R. Muniz, Francisco Tello-Ortiz, G. Alencar","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-24T13:29:13Z","title":"Field Sources for Dark Matter Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25071","kind":"arxiv","version":1},"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":"sha256:07746b372885b9b62ba03109dbba26e2a46b0bfae61f561c05d0ab01fd6d3860","target":"record","created_at":"2026-05-26T02:03:38Z","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":"19cc7e2214008e4468155a4b76b1cd9677f818d9f1eb146a122cd80807d6308c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-24T13:29:13Z","title_canon_sha256":"a51eece1c064ec7336793da27dff9211ac08460366d0c649c14fb6cde9969a9b"},"schema_version":"1.0","source":{"id":"2605.25071","kind":"arxiv","version":1}},"canonical_sha256":"23df10ee39cb8488175d80f892bac260a191ac928302584ecabdc4f613ddd69a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23df10ee39cb8488175d80f892bac260a191ac928302584ecabdc4f613ddd69a","first_computed_at":"2026-05-26T02:03:38.498701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:03:38.498701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/s8yJRzZBhl9sfb1PC687F7bWqkAmvxOHRS2OAKsjgBFXblFNsyOZhbAW9sYZVay0Dl/T6qrwFi+pTKhclCAAg==","signature_status":"signed_v1","signed_at":"2026-05-26T02:03:38.499499Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25071","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07746b372885b9b62ba03109dbba26e2a46b0bfae61f561c05d0ab01fd6d3860","sha256:fd319db71758f599fedc2bccf25a0f742e9db254785d7928a2022fec0c09ffe4"],"state_sha256":"a59a3696e7f1a269817bcc56301e793b20ed26207054ce9f74bd7fee86225e5e"}