{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1992:TOWDLO46IDCOQL2DYGAJBLRULB","short_pith_number":"pith:TOWDLO46","schema_version":"1.0","canonical_sha256":"9bac35bb9e40c4e82f43c18090ae3458669c3b7699323341909cf36f7211e3fc","source":{"kind":"arxiv","id":"hep-th/9209105","version":1},"attestation_state":"computed","paper":{"title":"Null vectors of the W_3 algebra","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"G.M.T. Watts, P. Bowcock","submitted_at":"1992-09-25T16:36:47Z","abstract_excerpt":"We construct $W_3$ null vectors of a restricted class explicitly in two different forms. The method we use is an extension of that of Bauer et al.~in the Virasoro case. Our results are analogous to the formulae of Benoit and St.~Aubin for the Virasoro null vectors. We derive in the Virasoro case some alternative formulae for the same null vectors involving only the $L_{-1}$ and $L_{-2}$ modes of the Virasoro algebra. }"},"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/9209105","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-09-25T16:36:47Z","cross_cats_sorted":[],"title_canon_sha256":"444ee77e3bb987f1da224c9c76e0372783366f7cc994537d3b0c9f4b2e0414e2","abstract_canon_sha256":"9566aaaa20e2f1968319c499aa1d568938525997c97f135718fb2ddea86a893d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:55:25.229658Z","signature_b64":"uxV7A206MvqqS8wdIFexfKK+Jg/HxwtjzyaNt+OQp9+IoJ7bmosev8CQqGC/MRA2nZJDdH1ST4KKMHyq4M2KCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bac35bb9e40c4e82f43c18090ae3458669c3b7699323341909cf36f7211e3fc","last_reissued_at":"2026-07-04T15:55:25.229287Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:55:25.229287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Null vectors of the W_3 algebra","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"G.M.T. Watts, P. Bowcock","submitted_at":"1992-09-25T16:36:47Z","abstract_excerpt":"We construct $W_3$ null vectors of a restricted class explicitly in two different forms. The method we use is an extension of that of Bauer et al.~in the Virasoro case. Our results are analogous to the formulae of Benoit and St.~Aubin for the Virasoro null vectors. We derive in the Virasoro case some alternative formulae for the same null vectors involving only the $L_{-1}$ and $L_{-2}$ modes of the Virasoro algebra. }"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9209105","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/hep-th/9209105/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":"hep-th/9209105","created_at":"2026-07-04T15:55:25.229359+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9209105v1","created_at":"2026-07-04T15:55:25.229359+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9209105","created_at":"2026-07-04T15:55:25.229359+00:00"},{"alias_kind":"pith_short_12","alias_value":"TOWDLO46IDCO","created_at":"2026-07-04T15:55:25.229359+00:00"},{"alias_kind":"pith_short_16","alias_value":"TOWDLO46IDCOQL2D","created_at":"2026-07-04T15:55:25.229359+00:00"},{"alias_kind":"pith_short_8","alias_value":"TOWDLO46","created_at":"2026-07-04T15:55:25.229359+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/TOWDLO46IDCOQL2DYGAJBLRULB","json":"https://pith.science/pith/TOWDLO46IDCOQL2DYGAJBLRULB.json","graph_json":"https://pith.science/api/pith-number/TOWDLO46IDCOQL2DYGAJBLRULB/graph.json","events_json":"https://pith.science/api/pith-number/TOWDLO46IDCOQL2DYGAJBLRULB/events.json","paper":"https://pith.science/paper/TOWDLO46"},"agent_actions":{"view_html":"https://pith.science/pith/TOWDLO46IDCOQL2DYGAJBLRULB","download_json":"https://pith.science/pith/TOWDLO46IDCOQL2DYGAJBLRULB.json","view_paper":"https://pith.science/paper/TOWDLO46","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9209105&json=true","fetch_graph":"https://pith.science/api/pith-number/TOWDLO46IDCOQL2DYGAJBLRULB/graph.json","fetch_events":"https://pith.science/api/pith-number/TOWDLO46IDCOQL2DYGAJBLRULB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TOWDLO46IDCOQL2DYGAJBLRULB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TOWDLO46IDCOQL2DYGAJBLRULB/action/storage_attestation","attest_author":"https://pith.science/pith/TOWDLO46IDCOQL2DYGAJBLRULB/action/author_attestation","sign_citation":"https://pith.science/pith/TOWDLO46IDCOQL2DYGAJBLRULB/action/citation_signature","submit_replication":"https://pith.science/pith/TOWDLO46IDCOQL2DYGAJBLRULB/action/replication_record"}},"created_at":"2026-07-04T15:55:25.229359+00:00","updated_at":"2026-07-04T15:55:25.229359+00:00"}