{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:RB6CFIHRJH552JNUPXUQ4PVCUZ","short_pith_number":"pith:RB6CFIHR","schema_version":"1.0","canonical_sha256":"887c22a0f149fbdd25b47de90e3ea2a67c89dabac23acd9feb7a98f1ccc352ee","source":{"kind":"arxiv","id":"hep-th/0411223","version":2},"attestation_state":"computed","paper":{"title":"Noncommutative differential calculus for Moyal subalgebras","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Zampini, G. Marmo, P. Vitale","submitted_at":"2004-11-24T12:30:37Z","abstract_excerpt":"We build a differential calculus for subalgebras of the Moyal algebra on R^4 starting from a redundant differential calculus on the Moyal algebra, which is suitable for reduction. In some cases we find a frame of 1-forms which allows to realize the complex of forms as a tensor product of the noncommutative subalgebras with the external algebra Lambda^*."},"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":"hep-th/0411223","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-11-24T12:30:37Z","cross_cats_sorted":[],"title_canon_sha256":"c74f793798c2da138b4ca6b593bbf39eb481a93f4712d0835c7e3b2155a8e992","abstract_canon_sha256":"eb8a2ca8fb328b2c46bc75d11b4451c47b53fd4e085bdba3a78ab289f226e51a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:54.564324Z","signature_b64":"o6+JLqsmL413/fosWrpWKS0Q/gI896NHuJVOfiJmPzOle7fMm4SH6eIKX+TxkdKAHiDuK7ZHTQyEfNOzQkycBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"887c22a0f149fbdd25b47de90e3ea2a67c89dabac23acd9feb7a98f1ccc352ee","last_reissued_at":"2026-05-18T04:34:54.563951Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:54.563951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noncommutative differential calculus for Moyal subalgebras","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Zampini, G. Marmo, P. Vitale","submitted_at":"2004-11-24T12:30:37Z","abstract_excerpt":"We build a differential calculus for subalgebras of the Moyal algebra on R^4 starting from a redundant differential calculus on the Moyal algebra, which is suitable for reduction. In some cases we find a frame of 1-forms which allows to realize the complex of forms as a tensor product of the noncommutative subalgebras with the external algebra Lambda^*."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0411223","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":"hep-th/0411223","created_at":"2026-05-18T04:34:54.564007+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0411223v2","created_at":"2026-05-18T04:34:54.564007+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0411223","created_at":"2026-05-18T04:34:54.564007+00:00"},{"alias_kind":"pith_short_12","alias_value":"RB6CFIHRJH55","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"RB6CFIHRJH552JNU","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"RB6CFIHR","created_at":"2026-05-18T12:25:52.687210+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/RB6CFIHRJH552JNUPXUQ4PVCUZ","json":"https://pith.science/pith/RB6CFIHRJH552JNUPXUQ4PVCUZ.json","graph_json":"https://pith.science/api/pith-number/RB6CFIHRJH552JNUPXUQ4PVCUZ/graph.json","events_json":"https://pith.science/api/pith-number/RB6CFIHRJH552JNUPXUQ4PVCUZ/events.json","paper":"https://pith.science/paper/RB6CFIHR"},"agent_actions":{"view_html":"https://pith.science/pith/RB6CFIHRJH552JNUPXUQ4PVCUZ","download_json":"https://pith.science/pith/RB6CFIHRJH552JNUPXUQ4PVCUZ.json","view_paper":"https://pith.science/paper/RB6CFIHR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0411223&json=true","fetch_graph":"https://pith.science/api/pith-number/RB6CFIHRJH552JNUPXUQ4PVCUZ/graph.json","fetch_events":"https://pith.science/api/pith-number/RB6CFIHRJH552JNUPXUQ4PVCUZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RB6CFIHRJH552JNUPXUQ4PVCUZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RB6CFIHRJH552JNUPXUQ4PVCUZ/action/storage_attestation","attest_author":"https://pith.science/pith/RB6CFIHRJH552JNUPXUQ4PVCUZ/action/author_attestation","sign_citation":"https://pith.science/pith/RB6CFIHRJH552JNUPXUQ4PVCUZ/action/citation_signature","submit_replication":"https://pith.science/pith/RB6CFIHRJH552JNUPXUQ4PVCUZ/action/replication_record"}},"created_at":"2026-05-18T04:34:54.564007+00:00","updated_at":"2026-05-18T04:34:54.564007+00:00"}