{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:OIRX4SL2HO3HMHNJILICD2LEP4","short_pith_number":"pith:OIRX4SL2","schema_version":"1.0","canonical_sha256":"72237e497a3bb6761da942d021e9647f12cd3a4cf1ba80e5f4bf553524775f10","source":{"kind":"arxiv","id":"2606.12459","version":1},"attestation_state":"computed","paper":{"title":"Generalized Fock--Lorentz Transformations from Projective Conformal Coordinates and Their Application to One-Dimensional Relativistic Oscillators","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Abdelmalek Boumali, M. Botshekananfard, N. Jafari","submitted_at":"2026-06-08T10:12:47Z","abstract_excerpt":"We present a compact and systematic formulation of the generalized Fock--Lorentz (FL) transformations. The construction is based on a family of auxiliary Minkowski coordinates defined through a projective conformal map, $X^{\\mu}=x^{\\mu}/[1+a_{\\nu}x^{\\nu}/R]$, where $R$ denotes a deformation length and $a^{\\mu}$ a constant deformation vector. Ordinary Lorentz transformations, acting linearly on $X^{\\mu}$, thereby induce nonlinear transformations of the physical coordinates $x^{\\mu}$. This formulation renders transparent the structure of the invariant interval, the role of the conformal factor, "},"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":"2606.12459","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2026-06-08T10:12:47Z","cross_cats_sorted":[],"title_canon_sha256":"b1a7ba9ede4854dec08030a12d5edddc16518d8a372425fe5b4299f05922077c","abstract_canon_sha256":"86082772ecf0eb4a9b2422c064638c4dfe95ca9d82afc2c0ce6cea60ca73d707"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T00:07:51.242986Z","signature_b64":"ZsvkRO+7OQpk/DXcscuNSlIZxCwdl9+axB0QlWUPJ9+VdGFhLzuyNJ3Syr796cpEGyuBfwIf+WzNFzBj6RdSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72237e497a3bb6761da942d021e9647f12cd3a4cf1ba80e5f4bf553524775f10","last_reissued_at":"2026-06-12T00:07:51.242556Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T00:07:51.242556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Fock--Lorentz Transformations from Projective Conformal Coordinates and Their Application to One-Dimensional Relativistic Oscillators","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Abdelmalek Boumali, M. Botshekananfard, N. Jafari","submitted_at":"2026-06-08T10:12:47Z","abstract_excerpt":"We present a compact and systematic formulation of the generalized Fock--Lorentz (FL) transformations. The construction is based on a family of auxiliary Minkowski coordinates defined through a projective conformal map, $X^{\\mu}=x^{\\mu}/[1+a_{\\nu}x^{\\nu}/R]$, where $R$ denotes a deformation length and $a^{\\mu}$ a constant deformation vector. Ordinary Lorentz transformations, acting linearly on $X^{\\mu}$, thereby induce nonlinear transformations of the physical coordinates $x^{\\mu}$. This formulation renders transparent the structure of the invariant interval, the role of the conformal factor, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12459","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/2606.12459/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.12459","created_at":"2026-06-12T00:07:51.242628+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.12459v1","created_at":"2026-06-12T00:07:51.242628+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12459","created_at":"2026-06-12T00:07:51.242628+00:00"},{"alias_kind":"pith_short_12","alias_value":"OIRX4SL2HO3H","created_at":"2026-06-12T00:07:51.242628+00:00"},{"alias_kind":"pith_short_16","alias_value":"OIRX4SL2HO3HMHNJ","created_at":"2026-06-12T00:07:51.242628+00:00"},{"alias_kind":"pith_short_8","alias_value":"OIRX4SL2","created_at":"2026-06-12T00:07:51.242628+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/OIRX4SL2HO3HMHNJILICD2LEP4","json":"https://pith.science/pith/OIRX4SL2HO3HMHNJILICD2LEP4.json","graph_json":"https://pith.science/api/pith-number/OIRX4SL2HO3HMHNJILICD2LEP4/graph.json","events_json":"https://pith.science/api/pith-number/OIRX4SL2HO3HMHNJILICD2LEP4/events.json","paper":"https://pith.science/paper/OIRX4SL2"},"agent_actions":{"view_html":"https://pith.science/pith/OIRX4SL2HO3HMHNJILICD2LEP4","download_json":"https://pith.science/pith/OIRX4SL2HO3HMHNJILICD2LEP4.json","view_paper":"https://pith.science/paper/OIRX4SL2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.12459&json=true","fetch_graph":"https://pith.science/api/pith-number/OIRX4SL2HO3HMHNJILICD2LEP4/graph.json","fetch_events":"https://pith.science/api/pith-number/OIRX4SL2HO3HMHNJILICD2LEP4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OIRX4SL2HO3HMHNJILICD2LEP4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OIRX4SL2HO3HMHNJILICD2LEP4/action/storage_attestation","attest_author":"https://pith.science/pith/OIRX4SL2HO3HMHNJILICD2LEP4/action/author_attestation","sign_citation":"https://pith.science/pith/OIRX4SL2HO3HMHNJILICD2LEP4/action/citation_signature","submit_replication":"https://pith.science/pith/OIRX4SL2HO3HMHNJILICD2LEP4/action/replication_record"}},"created_at":"2026-06-12T00:07:51.242628+00:00","updated_at":"2026-06-12T00:07:51.242628+00:00"}