{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5RW5XEDQOZZJ6OOTM4XOYVL6S4","short_pith_number":"pith:5RW5XEDQ","canonical_record":{"source":{"id":"2607.25833","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-28T15:13:12Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"5d53bb8aa11e8c3eedf7bcde7d7036dd4e02f42557bc70c5c39939eaed531f06","abstract_canon_sha256":"c51d6cf541db27fb20843f124cc8909bf4a51cc00827aa2b8736ec37fef565f6"},"schema_version":"1.0"},"canonical_sha256":"ec6ddb907076729f39d3672eec557e970c232afd99e1bc5e1164a124442c17e7","source":{"kind":"arxiv","id":"2607.25833","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25833","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25833v1","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25833","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"pith_short_12","alias_value":"5RW5XEDQOZZJ","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"5RW5XEDQOZZJ6OOT","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"5RW5XEDQ","created_at":"2026-07-29T01:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5RW5XEDQOZZJ6OOTM4XOYVL6S4","target":"record","payload":{"canonical_record":{"source":{"id":"2607.25833","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-28T15:13:12Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"5d53bb8aa11e8c3eedf7bcde7d7036dd4e02f42557bc70c5c39939eaed531f06","abstract_canon_sha256":"c51d6cf541db27fb20843f124cc8909bf4a51cc00827aa2b8736ec37fef565f6"},"schema_version":"1.0"},"canonical_sha256":"ec6ddb907076729f39d3672eec557e970c232afd99e1bc5e1164a124442c17e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T01:26:05.565029Z","signature_b64":"AYDUTb0cJJa+R/cG+n6+nfbT9aa2Y9F+mYTzvvfLqcl5mvUstviDd4urPeJlD7KHP5blxDOT6whcSQjn3UakBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec6ddb907076729f39d3672eec557e970c232afd99e1bc5e1164a124442c17e7","last_reissued_at":"2026-07-29T01:26:05.564182Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T01:26:05.564182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.25833","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-29T01:26:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HzAWfvDzuJJ4GrFf1u0hznxNlGXPult8VRD0X5l7Nrlq4VKVin60tw7+SE8SudSevVXHu8DiAXNX719GVv5iCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:03:35.904734Z"},"content_sha256":"a5c0cd58c0cbc6b079d972612fe72a937f0222a17fd49eff327adbb77e7bf7f4","schema_version":"1.0","event_id":"sha256:a5c0cd58c0cbc6b079d972612fe72a937f0222a17fd49eff327adbb77e7bf7f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5RW5XEDQOZZJ6OOTM4XOYVL6S4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curved momentum space and finite Landau spectrum in $\\kappa$-Minkowski spacetime","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Adri\\'an Huam\\'an Vargas, Vladislav Kupriyanov","submitted_at":"2026-07-28T15:13:12Z","abstract_excerpt":"It is obtained the $\\kappa$-Poincare Casimir from the de Sitter geometry of momentum space and employed as the dynamical constraint governing charged particles within the framework of Poisson gauge theory. The resulting formalism is applied to investigate both scalar and spin-1/2 particles in a constant magnetic field. Exact energy spectra are obtained, including all orders in the deformation parameter $1/\\kappa$. The curvature of momentum space implies a maximal invariant momentum, which in turn leads to a finite Landau spectrum characterized by the existence of a Highest Landau Level (HLL). "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25833","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/2607.25833/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-29T01:26:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LP+Hdhl/awfz+69uILVY8CiWPYU6cP2J495ylXpysa+wocWGSkhFOa1InUmcSngG7sIlfXZpS3A5pKoVXDdFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:03:35.905287Z"},"content_sha256":"9cc59e76b64fed560b0f50154bea7650ca83d37757640343cbb41eed4cddea87","schema_version":"1.0","event_id":"sha256:9cc59e76b64fed560b0f50154bea7650ca83d37757640343cbb41eed4cddea87"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:5RW5XEDQOZZJ6OOTM4XOYVL6S4","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1140/epjc/s10052-025-13897-5) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"B. S. Basilio, V. G. Kupriyanov and M. A. Kurkov, “Charged particle in Lie–Poisson electrodynamics,” Eur. Phys. J. C85(2025) no.2, 175 doi:10.1140/epjc/s10052- 025-13897-5","arxiv_id":"2607.25833","detector":"doi_compliance","evidence":{"ref_index":24,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1140/epjc/s10052-","reconstructed_doi":"10.1140/epjc/s10052-025-13897-5"},"severity":"advisory","ref_index":24,"audited_at":"2026-08-03T01:58:42.483803Z","event_type":"pith.integrity.v1","detected_doi":"10.1140/epjc/s10052-025-13897-5","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"aa854d0a5b3f2a4b7731e2ee972e87846b2ec83ea67a46e96a0ecbd289d2344e","paper_version":2,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17524,"payload_sha256":"f98576c7bc8e25622e57c10afb66996737275cf379e38d0d3a4c1f55f7c8df33","signature_b64":"3qVspsG4+O4MP+nXnZuPLJsnSWYRUI5YyxyABh5sYqBIuoDU3Syrn+iRE+m9XeMAQyMcVhUtDAC1c97eWSzuCw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-03T02:03:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y58Anj8NsB5IxSE/TkigvA/1EiWu7+EXBv7KhT+L4dWSDXEiekUg732Ld4rqDZwmqZPOZa+79OGJUoZy6FlJDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:03:35.908526Z"},"content_sha256":"e8d4c4a286a0c73a22e75a2784d2d5ec9e7371ca0af2541249298de294017aa2","schema_version":"1.0","event_id":"sha256:e8d4c4a286a0c73a22e75a2784d2d5ec9e7371ca0af2541249298de294017aa2"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:5RW5XEDQOZZJ6OOTM4XOYVL6S4","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1088/1751-8113/48/44/445202) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"A. Pacho l and P. Vitale, “κ-Minkowski star prod- uct in any dimension from symplectic realization,” J. Phys. A48(2015) no.44, 445202 doi:10.1088/1751- 8113/48/44/445202","arxiv_id":"2607.25833","detector":"doi_compliance","evidence":{"ref_index":23,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1088/1751-","reconstructed_doi":"10.1088/1751-8113/48/44/445202"},"severity":"advisory","ref_index":23,"audited_at":"2026-08-03T01:58:42.483803Z","event_type":"pith.integrity.v1","detected_doi":"10.1088/1751-8113/48/44/445202","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"6cb0c497a4f3de7b316d36f6d31c2e2c99235d751facd45f6850b7143549225c","paper_version":2,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17523,"payload_sha256":"430d7ca5fc297d1403c71e49f1a1fabaf537714065f7fac73e37f452e5f0496a","signature_b64":"E3U1m5ERXJZFBrDwHXUgrg/RlmF/55FVE0NGBBkCzB4+bZ2gSnoLY3PufWd8HDvBFM8aON1scqXZ2wcPbdIzCw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-03T02:03:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TWbUkIspCuztYIh6AqswHnJjeJmR6UggPvjbrhnfdi5sa7nejEeCDuSZnSTs0QQgn1u+ODTQ3n56A6Q9EmqcDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:03:35.908905Z"},"content_sha256":"0f236fdb54147ba8ab036770cdc1e996f98cd6ee1b06ed8beb08bb3bbc8a9f1f","schema_version":"1.0","event_id":"sha256:0f236fdb54147ba8ab036770cdc1e996f98cd6ee1b06ed8beb08bb3bbc8a9f1f"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:5RW5XEDQOZZJ6OOTM4XOYVL6S4","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1140/epjc/s10052-025-14970-9) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"M. A. Kurkov, “Light propagation inκ-Minkowski space- time: gauge ambiguities and invariance,” Eur. Phys. J. C85(2025) no.10, 1231 doi:10.1140/epjc/s10052-025- 14970-9","arxiv_id":"2607.25833","detector":"doi_compliance","evidence":{"ref_index":17,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1140/epjc/s10052-025-","reconstructed_doi":"10.1140/epjc/s10052-025-14970-9"},"severity":"advisory","ref_index":17,"audited_at":"2026-08-03T01:58:42.483803Z","event_type":"pith.integrity.v1","detected_doi":"10.1140/epjc/s10052-025-14970-9","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"00faaee20946e9b1e2e8817c4bb8dcd22b6adfa6385f4693e15686bb85b4ed30","paper_version":2,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17522,"payload_sha256":"bf02f44acdf9a79b0095ab00113d1eef97e0df03efc8cdd98638211c39f16e36","signature_b64":"FsgzORbcGGXfHlD63TbhkGoTkj2k156Zo4mWk5K3TytyWcjQeG40kYWf9Wlep22SV/ovrP25kZ1nzTGWQ2ueAw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-03T02:03:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZhiGAUoGR5u2NBRoxi8eWWx5GCf/CS25YmxJIqnabhkWLZsDnXRWFPSPoAf9gguHnVHhreCs5wYYogWtEiT4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:03:35.909266Z"},"content_sha256":"36deb3474b396523bc41aab4b7d671b7a2c5361887122cd9c51422de66b81d1d","schema_version":"1.0","event_id":"sha256:36deb3474b396523bc41aab4b7d671b7a2c5361887122cd9c51422de66b81d1d"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:5RW5XEDQOZZJ6OOTM4XOYVL6S4","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1088/0264-9381/28/10/105009) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"M. Arzano and J. Kowalski-Glikman, “Kinematics of a relativistic particle with de Sitter momentum space,” Class. Quant. Grav.28(2011), 105009 doi:10.1088/0264- 9381/28/10/105009","arxiv_id":"2607.25833","detector":"doi_compliance","evidence":{"ref_index":5,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1088/0264-","reconstructed_doi":"10.1088/0264-9381/28/10/105009"},"severity":"advisory","ref_index":5,"audited_at":"2026-08-03T01:58:42.483803Z","event_type":"pith.integrity.v1","detected_doi":"10.1088/0264-9381/28/10/105009","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"835a85b56f4da1a0dd7e3310664c2dce3ee9f811a189d5df749bbf5a581a6477","paper_version":2,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17521,"payload_sha256":"cb03330a8b2c1edd7f2cdbd3b6a349aa3738cd4b2f9a31dd56298e1426b11efd","signature_b64":"5dadhNwbXXBQmV5pdpGWFjR1RnFW1h0kny8F/Rmrr75vDJT/GO8z0PaRJThbNJYLJNI5J4JGrMqCRC7TAa+1BQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-03T02:03:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z30lX1/qVPTJwD3Ncv+6j7NRU9nt7PGM5wM0U78MZUUwrrWY/+ho0FeXyi+iaYIPFaRONm4lSIzvVlrj92vUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:03:35.909625Z"},"content_sha256":"1cc5521cf9472b011acf1fcb0e8f426ddcbb6b26f5571c224068965085e1aab3","schema_version":"1.0","event_id":"sha256:1cc5521cf9472b011acf1fcb0e8f426ddcbb6b26f5571c224068965085e1aab3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5RW5XEDQOZZJ6OOTM4XOYVL6S4/bundle.json","state_url":"https://pith.science/pith/5RW5XEDQOZZJ6OOTM4XOYVL6S4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5RW5XEDQOZZJ6OOTM4XOYVL6S4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T02:03:35Z","links":{"resolver":"https://pith.science/pith/5RW5XEDQOZZJ6OOTM4XOYVL6S4","bundle":"https://pith.science/pith/5RW5XEDQOZZJ6OOTM4XOYVL6S4/bundle.json","state":"https://pith.science/pith/5RW5XEDQOZZJ6OOTM4XOYVL6S4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5RW5XEDQOZZJ6OOTM4XOYVL6S4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5RW5XEDQOZZJ6OOTM4XOYVL6S4","merge_version":"pith-open-graph-merge-v1","event_count":6,"valid_event_count":6,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c51d6cf541db27fb20843f124cc8909bf4a51cc00827aa2b8736ec37fef565f6","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-28T15:13:12Z","title_canon_sha256":"5d53bb8aa11e8c3eedf7bcde7d7036dd4e02f42557bc70c5c39939eaed531f06"},"schema_version":"1.0","source":{"id":"2607.25833","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25833","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25833v1","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25833","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"pith_short_12","alias_value":"5RW5XEDQOZZJ","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"5RW5XEDQOZZJ6OOT","created_at":"2026-07-29T01:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"5RW5XEDQ","created_at":"2026-07-29T01:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:9cc59e76b64fed560b0f50154bea7650ca83d37757640343cbb41eed4cddea87","target":"graph","created_at":"2026-07-29T01:26:05Z","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/2607.25833/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is obtained the $\\kappa$-Poincare Casimir from the de Sitter geometry of momentum space and employed as the dynamical constraint governing charged particles within the framework of Poisson gauge theory. The resulting formalism is applied to investigate both scalar and spin-1/2 particles in a constant magnetic field. Exact energy spectra are obtained, including all orders in the deformation parameter $1/\\kappa$. The curvature of momentum space implies a maximal invariant momentum, which in turn leads to a finite Landau spectrum characterized by the existence of a Highest Landau Level (HLL). ","authors_text":"Adri\\'an Huam\\'an Vargas, Vladislav Kupriyanov","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-28T15:13:12Z","title":"Curved momentum space and finite Landau spectrum in $\\kappa$-Minkowski spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25833","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:a5c0cd58c0cbc6b079d972612fe72a937f0222a17fd49eff327adbb77e7bf7f4","target":"record","created_at":"2026-07-29T01:26:05Z","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":"c51d6cf541db27fb20843f124cc8909bf4a51cc00827aa2b8736ec37fef565f6","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-28T15:13:12Z","title_canon_sha256":"5d53bb8aa11e8c3eedf7bcde7d7036dd4e02f42557bc70c5c39939eaed531f06"},"schema_version":"1.0","source":{"id":"2607.25833","kind":"arxiv","version":1}},"canonical_sha256":"ec6ddb907076729f39d3672eec557e970c232afd99e1bc5e1164a124442c17e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec6ddb907076729f39d3672eec557e970c232afd99e1bc5e1164a124442c17e7","first_computed_at":"2026-07-29T01:26:05.564182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T01:26:05.564182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AYDUTb0cJJa+R/cG+n6+nfbT9aa2Y9F+mYTzvvfLqcl5mvUstviDd4urPeJlD7KHP5blxDOT6whcSQjn3UakBg==","signature_status":"signed_v1","signed_at":"2026-07-29T01:26:05.565029Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.25833","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:0f236fdb54147ba8ab036770cdc1e996f98cd6ee1b06ed8beb08bb3bbc8a9f1f","sha256:1cc5521cf9472b011acf1fcb0e8f426ddcbb6b26f5571c224068965085e1aab3","sha256:36deb3474b396523bc41aab4b7d671b7a2c5361887122cd9c51422de66b81d1d","sha256:e8d4c4a286a0c73a22e75a2784d2d5ec9e7371ca0af2541249298de294017aa2"]}],"invalid_events":[],"applied_event_ids":["sha256:a5c0cd58c0cbc6b079d972612fe72a937f0222a17fd49eff327adbb77e7bf7f4","sha256:9cc59e76b64fed560b0f50154bea7650ca83d37757640343cbb41eed4cddea87"],"state_sha256":"1ab75ad5039c903c305520d45051806559d03e9ea1d8e5d44b4757b5cff66aa5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MJ2pCZSChZIwK4fLzQhddMRtTbrO0xcybmzFo5UbXIMowpidUTSzUD6zaISNwHOVQt9m6dcmaOciIgxgNk71DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T02:03:35.912820Z","bundle_sha256":"9d2a5b7bfb270a324183ae48e408e94c6efcefb516b3652e2e3b87872cd9ef91"}}