{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6VWKURYGKCPT2R7PS4XWMKV4WG","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":"cbd8a003e2be5d6a5add68b93b2ef2353ff52b3e12753e0e5cd2eedc35a190ec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-21T17:22:22Z","title_canon_sha256":"c31c4022b2b765715bb7dbb6a337ee3fa187c78e9f3f3b3441d0d04fc8183472"},"schema_version":"1.0","source":{"id":"2411.14329","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14329","created_at":"2026-07-05T11:02:40Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14329v4","created_at":"2026-07-05T11:02:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14329","created_at":"2026-07-05T11:02:40Z"},{"alias_kind":"pith_short_12","alias_value":"6VWKURYGKCPT","created_at":"2026-07-05T11:02:40Z"},{"alias_kind":"pith_short_16","alias_value":"6VWKURYGKCPT2R7P","created_at":"2026-07-05T11:02:40Z"},{"alias_kind":"pith_short_8","alias_value":"6VWKURYG","created_at":"2026-07-05T11:02:40Z"}],"graph_snapshots":[{"event_id":"sha256:48bf2191a28e0b65d4cf77e406b0e6c1d2c12ce85300dada37f420a03c5f55b4","target":"graph","created_at":"2026-07-05T11:02:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.14329/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The particle with first-order dynamics proposed by Dunne, Jackiw and Trugenberger (DJT) to justify the ``Peierls substitution\" is obtained by reduction from both of the planar two-parameter centrally extended Galilean and Carroll systems. In the latter case the extension parameters $\\kappa_{exo}$ and $\\kappa_{mag}$ generate non-commutativity of the coordinates resp. behave as an internal magnetic field. The position and momentum follow uncoupled anomalous Hall motions. Consistently with partial immobility, one of the Carroll boost generators is broken but the other remains a symmetry. Switchin","authors_text":"H.-X. Zeng, P. A. Horvathy, P.-M. Zhang, Q.-L. Zhao","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-21T17:22:22Z","title":"Peierls substitution and Hall motion in exotic Carroll dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14329","kind":"arxiv","version":4},"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:b169bb52605e0e947aaccc8165d9e05097196af62a7e57139449e73e752900cf","target":"record","created_at":"2026-07-05T11:02:40Z","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":"cbd8a003e2be5d6a5add68b93b2ef2353ff52b3e12753e0e5cd2eedc35a190ec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-21T17:22:22Z","title_canon_sha256":"c31c4022b2b765715bb7dbb6a337ee3fa187c78e9f3f3b3441d0d04fc8183472"},"schema_version":"1.0","source":{"id":"2411.14329","kind":"arxiv","version":4}},"canonical_sha256":"f56caa4706509f3d47ef972f662abcb1b6a46837accba8106624942efddda27b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f56caa4706509f3d47ef972f662abcb1b6a46837accba8106624942efddda27b","first_computed_at":"2026-07-05T11:02:40.419186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:02:40.419186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"llyYpLVuJLbcWuvtVrdCb2bjKYH0HOKipMskHvNdi89m9M+IpSzFa0i3w6sfXeIZOvfmteBGS4U5L1JzCnYaDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:02:40.419688Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.14329","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b169bb52605e0e947aaccc8165d9e05097196af62a7e57139449e73e752900cf","sha256:48bf2191a28e0b65d4cf77e406b0e6c1d2c12ce85300dada37f420a03c5f55b4"],"state_sha256":"653147fe54d844a0510177d4c8433f7252a798dda7c0a46a7e49b44098bf6008"}