{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:Z6OQRQZHQFPYI7Z57BWV6VCRNX","short_pith_number":"pith:Z6OQRQZH","schema_version":"1.0","canonical_sha256":"cf9d08c327815f847f3df86d5f54516df7c81fe1db958c59f209c9812bab19b5","source":{"kind":"arxiv","id":"0809.0174","version":1},"attestation_state":"computed","paper":{"title":"Heisenberg relations in the general case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Bozhidar Z. Iliev (Institute for Nuclear Research, Bulgaria), Bulgarian Academy of Sciences, Nuclear Energy, Sofia","submitted_at":"2008-09-01T06:14:25Z","abstract_excerpt":"The Heisenberg relations are derived in a quite general setting when the field transformations are induced by three representations of a given group. They are considered also in the fibre bundle approach. The results are illustrated in a case of transformations induced by the Poincare group."},"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":"0809.0174","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-09-01T06:14:25Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"78e64e69cdf0ac03ace2c7b5b0a499766ed85e88a4e1beda179735f32106a9ee","abstract_canon_sha256":"9d902d463a7fa4185607ad16d97494bad8d5aaee9d72daf43ee3b4c4247ad718"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:58.375253Z","signature_b64":"MVxXucdMVSh3pk22E8kzBESDtgjo+d7PiqjaArlk7wG4mxPcLh1Jmi0wH9mr8r1C0WoOnbG8TW2PZBUMSQNICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf9d08c327815f847f3df86d5f54516df7c81fe1db958c59f209c9812bab19b5","last_reissued_at":"2026-05-18T04:38:58.374580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:58.374580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Heisenberg relations in the general case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Bozhidar Z. Iliev (Institute for Nuclear Research, Bulgaria), Bulgarian Academy of Sciences, Nuclear Energy, Sofia","submitted_at":"2008-09-01T06:14:25Z","abstract_excerpt":"The Heisenberg relations are derived in a quite general setting when the field transformations are induced by three representations of a given group. They are considered also in the fibre bundle approach. The results are illustrated in a case of transformations induced by the Poincare group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.0174","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":"0809.0174","created_at":"2026-05-18T04:38:58.374669+00:00"},{"alias_kind":"arxiv_version","alias_value":"0809.0174v1","created_at":"2026-05-18T04:38:58.374669+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.0174","created_at":"2026-05-18T04:38:58.374669+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z6OQRQZHQFPY","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z6OQRQZHQFPYI7Z5","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z6OQRQZH","created_at":"2026-05-18T12:25:58.018023+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/Z6OQRQZHQFPYI7Z57BWV6VCRNX","json":"https://pith.science/pith/Z6OQRQZHQFPYI7Z57BWV6VCRNX.json","graph_json":"https://pith.science/api/pith-number/Z6OQRQZHQFPYI7Z57BWV6VCRNX/graph.json","events_json":"https://pith.science/api/pith-number/Z6OQRQZHQFPYI7Z57BWV6VCRNX/events.json","paper":"https://pith.science/paper/Z6OQRQZH"},"agent_actions":{"view_html":"https://pith.science/pith/Z6OQRQZHQFPYI7Z57BWV6VCRNX","download_json":"https://pith.science/pith/Z6OQRQZHQFPYI7Z57BWV6VCRNX.json","view_paper":"https://pith.science/paper/Z6OQRQZH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0809.0174&json=true","fetch_graph":"https://pith.science/api/pith-number/Z6OQRQZHQFPYI7Z57BWV6VCRNX/graph.json","fetch_events":"https://pith.science/api/pith-number/Z6OQRQZHQFPYI7Z57BWV6VCRNX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z6OQRQZHQFPYI7Z57BWV6VCRNX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z6OQRQZHQFPYI7Z57BWV6VCRNX/action/storage_attestation","attest_author":"https://pith.science/pith/Z6OQRQZHQFPYI7Z57BWV6VCRNX/action/author_attestation","sign_citation":"https://pith.science/pith/Z6OQRQZHQFPYI7Z57BWV6VCRNX/action/citation_signature","submit_replication":"https://pith.science/pith/Z6OQRQZHQFPYI7Z57BWV6VCRNX/action/replication_record"}},"created_at":"2026-05-18T04:38:58.374669+00:00","updated_at":"2026-05-18T04:38:58.374669+00:00"}