{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:PAWDHVI4CDZVNBHEYY7JGW35Y7","short_pith_number":"pith:PAWDHVI4","schema_version":"1.0","canonical_sha256":"782c33d51c10f35684e4c63e935b7dc7d3cb717de62b632bdb977d4d18633f0e","source":{"kind":"arxiv","id":"1103.3348","version":2},"attestation_state":"computed","paper":{"title":"Non-commutative Einstein equations and Seiberg-Witten map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Elisabetta Di Grezia, Giampiero Esposito, Paolo Aschieri","submitted_at":"2011-03-17T07:18:25Z","abstract_excerpt":"The Seiberg--Witten map is a powerful tool in non-commutative field theory, and it has been recently obtained in the literature for gravity itself, to first order in non-commutativity. This paper, relying upon the pure-gravity form of the action functional considered in Ref. 2, studies the expansion to first order of the non-commutative Einstein equations, and whether the Seiberg--Witten map can lead to a solution of such equations when the underlying classical geometry is Schwarzschild."},"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":"1103.3348","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-17T07:18:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ffa5a05668242693bc78077c0edd3f49409d17259dd69bfa829d24c313bc3999","abstract_canon_sha256":"7fa117ddb309d54adfd9f0ce706e792d2f23ca4fa10c2ef61d3a30a4459fd9b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:50.427479Z","signature_b64":"U6vmXYNyB+jrtjNGaqHH8nhF1+C7c5T1X5K1a1DuBze70DeCPCUyRBGcLkpB1OzDcCmMsAEzzQo2zaB1YE60CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"782c33d51c10f35684e4c63e935b7dc7d3cb717de62b632bdb977d4d18633f0e","last_reissued_at":"2026-05-18T02:02:50.426902Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:50.426902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-commutative Einstein equations and Seiberg-Witten map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Elisabetta Di Grezia, Giampiero Esposito, Paolo Aschieri","submitted_at":"2011-03-17T07:18:25Z","abstract_excerpt":"The Seiberg--Witten map is a powerful tool in non-commutative field theory, and it has been recently obtained in the literature for gravity itself, to first order in non-commutativity. This paper, relying upon the pure-gravity form of the action functional considered in Ref. 2, studies the expansion to first order of the non-commutative Einstein equations, and whether the Seiberg--Witten map can lead to a solution of such equations when the underlying classical geometry is Schwarzschild."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.3348","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1103.3348","created_at":"2026-05-18T02:02:50.426976+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.3348v2","created_at":"2026-05-18T02:02:50.426976+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.3348","created_at":"2026-05-18T02:02:50.426976+00:00"},{"alias_kind":"pith_short_12","alias_value":"PAWDHVI4CDZV","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"PAWDHVI4CDZVNBHE","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"PAWDHVI4","created_at":"2026-05-18T12:26:39.201973+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/PAWDHVI4CDZVNBHEYY7JGW35Y7","json":"https://pith.science/pith/PAWDHVI4CDZVNBHEYY7JGW35Y7.json","graph_json":"https://pith.science/api/pith-number/PAWDHVI4CDZVNBHEYY7JGW35Y7/graph.json","events_json":"https://pith.science/api/pith-number/PAWDHVI4CDZVNBHEYY7JGW35Y7/events.json","paper":"https://pith.science/paper/PAWDHVI4"},"agent_actions":{"view_html":"https://pith.science/pith/PAWDHVI4CDZVNBHEYY7JGW35Y7","download_json":"https://pith.science/pith/PAWDHVI4CDZVNBHEYY7JGW35Y7.json","view_paper":"https://pith.science/paper/PAWDHVI4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.3348&json=true","fetch_graph":"https://pith.science/api/pith-number/PAWDHVI4CDZVNBHEYY7JGW35Y7/graph.json","fetch_events":"https://pith.science/api/pith-number/PAWDHVI4CDZVNBHEYY7JGW35Y7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PAWDHVI4CDZVNBHEYY7JGW35Y7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PAWDHVI4CDZVNBHEYY7JGW35Y7/action/storage_attestation","attest_author":"https://pith.science/pith/PAWDHVI4CDZVNBHEYY7JGW35Y7/action/author_attestation","sign_citation":"https://pith.science/pith/PAWDHVI4CDZVNBHEYY7JGW35Y7/action/citation_signature","submit_replication":"https://pith.science/pith/PAWDHVI4CDZVNBHEYY7JGW35Y7/action/replication_record"}},"created_at":"2026-05-18T02:02:50.426976+00:00","updated_at":"2026-05-18T02:02:50.426976+00:00"}