{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:26B27MVTFB56MGGUSSJBJMEDUA","short_pith_number":"pith:26B27MVT","schema_version":"1.0","canonical_sha256":"d783afb2b3287be618d4949214b083a03733da51b9731cbe189b6b09054de75d","source":{"kind":"arxiv","id":"2512.20799","version":1},"attestation_state":"computed","paper":{"title":"Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Faramarz Rahmani, Mehdi Sadeghi","submitted_at":"2025-12-23T21:54:45Z","abstract_excerpt":"We perform a topological classification of the phase structure of a four-dimensional AdS black hole with non-minimal Maxwell coupling. Critical points are treated as topological defects, allowing us to assign a winding number to each black hole branch and compute the global topological invariant W. The system exhibits a duality governed by its Maxwell charge Q: for large Q it falls into the class W = 1, displaying van der Waals-type behavior with a first-order small-large black hole transition. For small Q, it shifts to W = 0, characteristic of a Hawking-Page transition. This topological class"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2512.20799","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-23T21:54:45Z","cross_cats_sorted":[],"title_canon_sha256":"871097b1d2e885255127745aecf05bcb2b09567af450e8dabcf202701c578b42","abstract_canon_sha256":"bca9eea54437c055c913dae6ae17030a46f2a3b9858c8e7b48419c8b9d502f66"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:11.314484Z","signature_b64":"ainuJCXOpy2nF7g5pZVKuvaA70DIlsKvjw5g0BV+Y24M/S5P0v5qfUUrQ3DOHqlTPJJBsRho9YeQGW68arbqAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d783afb2b3287be618d4949214b083a03733da51b9731cbe189b6b09054de75d","last_reissued_at":"2026-05-25T02:01:11.313517Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:11.313517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Faramarz Rahmani, Mehdi Sadeghi","submitted_at":"2025-12-23T21:54:45Z","abstract_excerpt":"We perform a topological classification of the phase structure of a four-dimensional AdS black hole with non-minimal Maxwell coupling. Critical points are treated as topological defects, allowing us to assign a winding number to each black hole branch and compute the global topological invariant W. The system exhibits a duality governed by its Maxwell charge Q: for large Q it falls into the class W = 1, displaying van der Waals-type behavior with a first-order small-large black hole transition. For small Q, it shifts to W = 0, characteristic of a Hawking-Page transition. This topological class"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.20799","kind":"arxiv","version":1},"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/2512.20799/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2512.20799","created_at":"2026-05-25T02:01:11.313633+00:00"},{"alias_kind":"arxiv_version","alias_value":"2512.20799v1","created_at":"2026-05-25T02:01:11.313633+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.20799","created_at":"2026-05-25T02:01:11.313633+00:00"},{"alias_kind":"pith_short_12","alias_value":"26B27MVTFB56","created_at":"2026-05-25T02:01:11.313633+00:00"},{"alias_kind":"pith_short_16","alias_value":"26B27MVTFB56MGGU","created_at":"2026-05-25T02:01:11.313633+00:00"},{"alias_kind":"pith_short_8","alias_value":"26B27MVT","created_at":"2026-05-25T02:01:11.313633+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/26B27MVTFB56MGGUSSJBJMEDUA","json":"https://pith.science/pith/26B27MVTFB56MGGUSSJBJMEDUA.json","graph_json":"https://pith.science/api/pith-number/26B27MVTFB56MGGUSSJBJMEDUA/graph.json","events_json":"https://pith.science/api/pith-number/26B27MVTFB56MGGUSSJBJMEDUA/events.json","paper":"https://pith.science/paper/26B27MVT"},"agent_actions":{"view_html":"https://pith.science/pith/26B27MVTFB56MGGUSSJBJMEDUA","download_json":"https://pith.science/pith/26B27MVTFB56MGGUSSJBJMEDUA.json","view_paper":"https://pith.science/paper/26B27MVT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2512.20799&json=true","fetch_graph":"https://pith.science/api/pith-number/26B27MVTFB56MGGUSSJBJMEDUA/graph.json","fetch_events":"https://pith.science/api/pith-number/26B27MVTFB56MGGUSSJBJMEDUA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/26B27MVTFB56MGGUSSJBJMEDUA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/26B27MVTFB56MGGUSSJBJMEDUA/action/storage_attestation","attest_author":"https://pith.science/pith/26B27MVTFB56MGGUSSJBJMEDUA/action/author_attestation","sign_citation":"https://pith.science/pith/26B27MVTFB56MGGUSSJBJMEDUA/action/citation_signature","submit_replication":"https://pith.science/pith/26B27MVTFB56MGGUSSJBJMEDUA/action/replication_record"}},"created_at":"2026-05-25T02:01:11.313633+00:00","updated_at":"2026-05-25T02:01:11.313633+00:00"}