{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1993:67PPDAFTI5LF2PWZXAHZV3RA4S","short_pith_number":"pith:67PPDAFT","schema_version":"1.0","canonical_sha256":"f7def180b347565d3ed9b80f9aee20e48185dd89f6f885d007201eddfea4fac8","source":{"kind":"arxiv","id":"hep-th/9310147","version":1},"attestation_state":"computed","paper":{"title":"Currents on Grassmann algebras","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Ragoucy, R. Coquereaux","submitted_at":"1993-10-22T07:58:41Z","abstract_excerpt":"We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\\Z}_2$-graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on $Gr(N)$). An explicit construction of the vector space of closed currents of degree $p$ on $Gr(N)$ is given by using Berezin integration."},"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/9310147","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-10-22T07:58:41Z","cross_cats_sorted":[],"title_canon_sha256":"e713f7007c3788eaf85c3ef65fdb33739c689b67f6b5ed654eded7b878a3d184","abstract_canon_sha256":"7da24c393f5dd4acf9cc83356a3d68af21ded65797e1145b8791932f58b65510"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:42.360433Z","signature_b64":"zJiV0km/8mEfnTS+KhP21j+T/T6BpdS/GnMY4GRVIWgl1taBX6LiOmKSH3RxoLL2nE5x2z0/BnWaDXbSoBjJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7def180b347565d3ed9b80f9aee20e48185dd89f6f885d007201eddfea4fac8","last_reissued_at":"2026-05-18T01:38:42.360026Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:42.360026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Currents on Grassmann algebras","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Ragoucy, R. Coquereaux","submitted_at":"1993-10-22T07:58:41Z","abstract_excerpt":"We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\\Z}_2$-graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on $Gr(N)$). An explicit construction of the vector space of closed currents of degree $p$ on $Gr(N)$ is given by using Berezin integration."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9310147","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":""},"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/9310147","created_at":"2026-05-18T01:38:42.360083+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9310147v1","created_at":"2026-05-18T01:38:42.360083+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9310147","created_at":"2026-05-18T01:38:42.360083+00:00"},{"alias_kind":"pith_short_12","alias_value":"67PPDAFTI5LF","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"67PPDAFTI5LF2PWZ","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"67PPDAFT","created_at":"2026-05-18T12:25:47.102015+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/67PPDAFTI5LF2PWZXAHZV3RA4S","json":"https://pith.science/pith/67PPDAFTI5LF2PWZXAHZV3RA4S.json","graph_json":"https://pith.science/api/pith-number/67PPDAFTI5LF2PWZXAHZV3RA4S/graph.json","events_json":"https://pith.science/api/pith-number/67PPDAFTI5LF2PWZXAHZV3RA4S/events.json","paper":"https://pith.science/paper/67PPDAFT"},"agent_actions":{"view_html":"https://pith.science/pith/67PPDAFTI5LF2PWZXAHZV3RA4S","download_json":"https://pith.science/pith/67PPDAFTI5LF2PWZXAHZV3RA4S.json","view_paper":"https://pith.science/paper/67PPDAFT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9310147&json=true","fetch_graph":"https://pith.science/api/pith-number/67PPDAFTI5LF2PWZXAHZV3RA4S/graph.json","fetch_events":"https://pith.science/api/pith-number/67PPDAFTI5LF2PWZXAHZV3RA4S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/67PPDAFTI5LF2PWZXAHZV3RA4S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/67PPDAFTI5LF2PWZXAHZV3RA4S/action/storage_attestation","attest_author":"https://pith.science/pith/67PPDAFTI5LF2PWZXAHZV3RA4S/action/author_attestation","sign_citation":"https://pith.science/pith/67PPDAFTI5LF2PWZXAHZV3RA4S/action/citation_signature","submit_replication":"https://pith.science/pith/67PPDAFTI5LF2PWZXAHZV3RA4S/action/replication_record"}},"created_at":"2026-05-18T01:38:42.360083+00:00","updated_at":"2026-05-18T01:38:42.360083+00:00"}