{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:G3JJGP3WECGN3PZ4QQREHIEYS2","short_pith_number":"pith:G3JJGP3W","schema_version":"1.0","canonical_sha256":"36d2933f76208cddbf3c842243a098968af864d514d6fdd67a0a87c2712c3a12","source":{"kind":"arxiv","id":"2411.16886","version":1},"attestation_state":"computed","paper":{"title":"Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abdellah Touati, Mohamed Aimen Larbi, Slimane Zaim","submitted_at":"2024-11-25T19:38:20Z","abstract_excerpt":"In this work, we derive non-commutative corrections to the Schwarzschild-Anti-de Sitter solution up to the first and second orders of the non-commutative parameter $\\Theta$. Additionally, we obtain the corresponding deformed effective potentials and the non-commutative geodesic equations for massive particles. Through the analysis of time-like non-commutative geodesics for various values of $\\Theta$, we demonstrate that the circular geodesic orbits of the non-commutative Schwarzschild-Anti-de Sitter black hole exhibit greater stability compared to those of the commutative one. Furthermore, we "},"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":"2411.16886","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-25T19:38:20Z","cross_cats_sorted":[],"title_canon_sha256":"3de34f60c2adc96996b6565b26a3df28d3c5c60caae51db55794c26e9a5029a8","abstract_canon_sha256":"6bd0d300ffd89e65ec805c4fb4115bedbf281c86e47d45a1eb8e3b5ab4f3e60e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:43:25.960475Z","signature_b64":"loYXUNM/qPzlEsY6QdH3vd7/TADRolLLA56+8JR7id1pd6crYp1cyCOAEHCQmk9tt4JILz5Oj49tqn52wSRiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36d2933f76208cddbf3c842243a098968af864d514d6fdd67a0a87c2712c3a12","last_reissued_at":"2026-07-05T10:43:25.960006Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:43:25.960006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abdellah Touati, Mohamed Aimen Larbi, Slimane Zaim","submitted_at":"2024-11-25T19:38:20Z","abstract_excerpt":"In this work, we derive non-commutative corrections to the Schwarzschild-Anti-de Sitter solution up to the first and second orders of the non-commutative parameter $\\Theta$. Additionally, we obtain the corresponding deformed effective potentials and the non-commutative geodesic equations for massive particles. Through the analysis of time-like non-commutative geodesics for various values of $\\Theta$, we demonstrate that the circular geodesic orbits of the non-commutative Schwarzschild-Anti-de Sitter black hole exhibit greater stability compared to those of the commutative one. Furthermore, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16886","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/2411.16886/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":"2411.16886","created_at":"2026-07-05T10:43:25.960061+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.16886v1","created_at":"2026-07-05T10:43:25.960061+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.16886","created_at":"2026-07-05T10:43:25.960061+00:00"},{"alias_kind":"pith_short_12","alias_value":"G3JJGP3WECGN","created_at":"2026-07-05T10:43:25.960061+00:00"},{"alias_kind":"pith_short_16","alias_value":"G3JJGP3WECGN3PZ4","created_at":"2026-07-05T10:43:25.960061+00:00"},{"alias_kind":"pith_short_8","alias_value":"G3JJGP3W","created_at":"2026-07-05T10:43:25.960061+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/G3JJGP3WECGN3PZ4QQREHIEYS2","json":"https://pith.science/pith/G3JJGP3WECGN3PZ4QQREHIEYS2.json","graph_json":"https://pith.science/api/pith-number/G3JJGP3WECGN3PZ4QQREHIEYS2/graph.json","events_json":"https://pith.science/api/pith-number/G3JJGP3WECGN3PZ4QQREHIEYS2/events.json","paper":"https://pith.science/paper/G3JJGP3W"},"agent_actions":{"view_html":"https://pith.science/pith/G3JJGP3WECGN3PZ4QQREHIEYS2","download_json":"https://pith.science/pith/G3JJGP3WECGN3PZ4QQREHIEYS2.json","view_paper":"https://pith.science/paper/G3JJGP3W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.16886&json=true","fetch_graph":"https://pith.science/api/pith-number/G3JJGP3WECGN3PZ4QQREHIEYS2/graph.json","fetch_events":"https://pith.science/api/pith-number/G3JJGP3WECGN3PZ4QQREHIEYS2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G3JJGP3WECGN3PZ4QQREHIEYS2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G3JJGP3WECGN3PZ4QQREHIEYS2/action/storage_attestation","attest_author":"https://pith.science/pith/G3JJGP3WECGN3PZ4QQREHIEYS2/action/author_attestation","sign_citation":"https://pith.science/pith/G3JJGP3WECGN3PZ4QQREHIEYS2/action/citation_signature","submit_replication":"https://pith.science/pith/G3JJGP3WECGN3PZ4QQREHIEYS2/action/replication_record"}},"created_at":"2026-07-05T10:43:25.960061+00:00","updated_at":"2026-07-05T10:43:25.960061+00:00"}