{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W3MDFJDS452VXAYBHQNEHUONSR","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":"b9b0293069e5c33e411e18172e6bc7f5cd7e3cc9d1561732b80cdd61be160437","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-22T05:15:14Z","title_canon_sha256":"4b03620a1d6976426231b4dd46fa70ac760116b714a664caeaef82ccdc06c434"},"schema_version":"1.0","source":{"id":"1305.5021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5021","created_at":"2026-05-18T03:25:13Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5021v1","created_at":"2026-05-18T03:25:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5021","created_at":"2026-05-18T03:25:13Z"},{"alias_kind":"pith_short_12","alias_value":"W3MDFJDS452V","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W3MDFJDS452VXAYB","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W3MDFJDS","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:67a96edb9e6e978393ee122ca79db9a6625c0b7f9621dd86fd42c6046671905a","target":"graph","created_at":"2026-05-18T03:25:13Z","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 show that the Wigner-Bargmann program of grounding non-relativistic quantum mechanics in the unitary projective representations of the Galilei group can be extended to include all non-inertial reference frames. The key concept is the \\emph{Galilean line group}, the group of transformations that ties together all accelerating reference frames, and its representations. These representations are constructed under the natural constraint that they reduce to the well-known unitary, projective representations of the Galilei group when the transformations are restricted to inertial reference frames","authors_text":"S. Wickramasekara, W.H. Klink","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-22T05:15:14Z","title":"Loop prolongations and three-cocycles in simulated magnetic fields from rotating reference frames"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5021","kind":"arxiv","version":1},"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":"sha256:49a1c6434e798aad7c0b974d05b4069195b237e8c5939caf18d98c7dddfc8a5e","target":"record","created_at":"2026-05-18T03:25:13Z","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":"b9b0293069e5c33e411e18172e6bc7f5cd7e3cc9d1561732b80cdd61be160437","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-22T05:15:14Z","title_canon_sha256":"4b03620a1d6976426231b4dd46fa70ac760116b714a664caeaef82ccdc06c434"},"schema_version":"1.0","source":{"id":"1305.5021","kind":"arxiv","version":1}},"canonical_sha256":"b6d832a472e7755b83013c1a43d1cd946efafdc7b45d236532ef87c54f244ac9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6d832a472e7755b83013c1a43d1cd946efafdc7b45d236532ef87c54f244ac9","first_computed_at":"2026-05-18T03:25:13.761118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:13.761118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QuD7QFhGsuOEa2UA5sXD1l4dgBcxuin1O4vqMxpGW1SsKhSxV5GaWD1otOm1GmceSTDJdgyUECfjtPbirjiEDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:13.761886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49a1c6434e798aad7c0b974d05b4069195b237e8c5939caf18d98c7dddfc8a5e","sha256:67a96edb9e6e978393ee122ca79db9a6625c0b7f9621dd86fd42c6046671905a"],"state_sha256":"591a65f87bdfc2a176aedf4e9b66870851eee79511674300f0821aa1c785e853"}