{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:U4TEZRQTXX7DKZDKRBTKW2FHWX","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":"9f69ae4dcecbeb6c6808c6357889ec983747d5ad064a23d288eff789a4b4e134","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-24T20:18:23Z","title_canon_sha256":"4c955292352350f544ce6f618ae0c47e6b2df9bc336420e587f298a252758427"},"schema_version":"1.0","source":{"id":"0812.4571","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.4571","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"arxiv_version","alias_value":"0812.4571v2","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.4571","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"pith_short_12","alias_value":"U4TEZRQTXX7D","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"U4TEZRQTXX7DKZDK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"U4TEZRQT","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:68e7bf7971691c8e1a9faeccbc08f7bb8acd12dd1b993adb71dfb3a45d51fb5f","target":"graph","created_at":"2026-05-18T02:35:08Z","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"},"paper":{"abstract_excerpt":"We construct a differential algebra of forms on the kappa-deformed space. For a given realization of the noncommutative coordinates as formal power series in the Weyl algebra we find an infinite family of one-forms and nilpotent exterior derivatives. We derive explicit expressions for the exterior derivative and one-forms in covariant and noncovariant realizations. We also introduce higher-order forms and show that the exterior derivative satisfies the graded Leibniz rule. The differential forms are generally not graded-commutative, but they satisfy the graded Jacobi identity. We also consider","authors_text":"Sasa Kresic-Juric, Stjepan Meljanac","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-24T20:18:23Z","title":"Noncommutative Differential Forms on the kappa-deformed Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.4571","kind":"arxiv","version":2},"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":"sha256:82db7aba0a741303921218406321b8989f490bff455d4901afce1d55182930b0","target":"record","created_at":"2026-05-18T02:35:08Z","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":"9f69ae4dcecbeb6c6808c6357889ec983747d5ad064a23d288eff789a4b4e134","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-24T20:18:23Z","title_canon_sha256":"4c955292352350f544ce6f618ae0c47e6b2df9bc336420e587f298a252758427"},"schema_version":"1.0","source":{"id":"0812.4571","kind":"arxiv","version":2}},"canonical_sha256":"a7264cc613bdfe35646a8866ab68a7b5f70030c2fd690c8296a4146b5c579e48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7264cc613bdfe35646a8866ab68a7b5f70030c2fd690c8296a4146b5c579e48","first_computed_at":"2026-05-18T02:35:08.552890Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:08.552890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WfLRSliLc4rbxd50+r6KxE3+bP0my1ffyWyrgrM1PYyNdbwdl6RdZZPd79dL8ePkyN9WT3LseXL/aIpmHtCJDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:08.553388Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.4571","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82db7aba0a741303921218406321b8989f490bff455d4901afce1d55182930b0","sha256:68e7bf7971691c8e1a9faeccbc08f7bb8acd12dd1b993adb71dfb3a45d51fb5f"],"state_sha256":"2952190df4e37d8f6f7915bcfe8fbc386ea4a76aa416cc5d00a1445c12dcd966"}