{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:7E5XTL73JECA6I5T5LUP5RY3LE","short_pith_number":"pith:7E5XTL73","schema_version":"1.0","canonical_sha256":"f93b79affb49040f23b3eae8fec71b5915f004a835ee56db23964e2af08addd4","source":{"kind":"arxiv","id":"1204.5842","version":1},"attestation_state":"computed","paper":{"title":"Bicrossproduct construction versus Weyl-Heisenberg algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Borowiec, A. Pacho{\\l}","submitted_at":"2012-04-26T06:44:37Z","abstract_excerpt":"We are focused on detailed analysis of the Weyl-Heisenberg algebra in the framework of bicrossproduct construction. We argue that however it is not possible to introduce full bialgebra structure in this case, it is possible to introduce non-counital bialgebra counterpart of this construction. Some remarks concerning bicrossproduct basis for kappa-Poincare Hopf algebra are also presented."},"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":"1204.5842","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-26T06:44:37Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"dd4d59c5d7cfb33226721187e20954a828bd62969a6d3299ccaf299c5f021299","abstract_canon_sha256":"d33bcafb50d1faf4588a342637695ed20bae6f581f6f864b317b90e75d1237f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:59.302951Z","signature_b64":"2dGqBvf8xw19/wJ7Q5TFkvIekmTpXqltwiKwAV9+DWisv7cLjL7+TmPsd6VfD4gUrOoN0tDuectX8mYmrzy7BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f93b79affb49040f23b3eae8fec71b5915f004a835ee56db23964e2af08addd4","last_reissued_at":"2026-05-18T03:56:59.302125Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:59.302125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bicrossproduct construction versus Weyl-Heisenberg algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Borowiec, A. Pacho{\\l}","submitted_at":"2012-04-26T06:44:37Z","abstract_excerpt":"We are focused on detailed analysis of the Weyl-Heisenberg algebra in the framework of bicrossproduct construction. We argue that however it is not possible to introduce full bialgebra structure in this case, it is possible to introduce non-counital bialgebra counterpart of this construction. Some remarks concerning bicrossproduct basis for kappa-Poincare Hopf algebra are also presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5842","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":"1204.5842","created_at":"2026-05-18T03:56:59.302251+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.5842v1","created_at":"2026-05-18T03:56:59.302251+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5842","created_at":"2026-05-18T03:56:59.302251+00:00"},{"alias_kind":"pith_short_12","alias_value":"7E5XTL73JECA","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"7E5XTL73JECA6I5T","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"7E5XTL73","created_at":"2026-05-18T12:26:56.085431+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/7E5XTL73JECA6I5T5LUP5RY3LE","json":"https://pith.science/pith/7E5XTL73JECA6I5T5LUP5RY3LE.json","graph_json":"https://pith.science/api/pith-number/7E5XTL73JECA6I5T5LUP5RY3LE/graph.json","events_json":"https://pith.science/api/pith-number/7E5XTL73JECA6I5T5LUP5RY3LE/events.json","paper":"https://pith.science/paper/7E5XTL73"},"agent_actions":{"view_html":"https://pith.science/pith/7E5XTL73JECA6I5T5LUP5RY3LE","download_json":"https://pith.science/pith/7E5XTL73JECA6I5T5LUP5RY3LE.json","view_paper":"https://pith.science/paper/7E5XTL73","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.5842&json=true","fetch_graph":"https://pith.science/api/pith-number/7E5XTL73JECA6I5T5LUP5RY3LE/graph.json","fetch_events":"https://pith.science/api/pith-number/7E5XTL73JECA6I5T5LUP5RY3LE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7E5XTL73JECA6I5T5LUP5RY3LE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7E5XTL73JECA6I5T5LUP5RY3LE/action/storage_attestation","attest_author":"https://pith.science/pith/7E5XTL73JECA6I5T5LUP5RY3LE/action/author_attestation","sign_citation":"https://pith.science/pith/7E5XTL73JECA6I5T5LUP5RY3LE/action/citation_signature","submit_replication":"https://pith.science/pith/7E5XTL73JECA6I5T5LUP5RY3LE/action/replication_record"}},"created_at":"2026-05-18T03:56:59.302251+00:00","updated_at":"2026-05-18T03:56:59.302251+00:00"}