{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:AE4PB2SB6BPBOYHCTDXCHBNT5W","short_pith_number":"pith:AE4PB2SB","schema_version":"1.0","canonical_sha256":"0138f0ea41f05e1760e298ee2385b3eda1649bc3f8f6bca33dea731386b374ab","source":{"kind":"arxiv","id":"0707.1519","version":2},"attestation_state":"computed","paper":{"title":"Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.SG"],"primary_cat":"gr-qc","authors_text":"Sergiu I. Vacaru","submitted_at":"2007-07-11T17:44:26Z","abstract_excerpt":"Finsler and Lagrange spaces can be equivalently represented as almost Kahler manifolds enabled with a metric compatible canonical distinguished connection structure generalizing the Levi Civita connection. The goal of this paper is to perform a natural Fedosov-type deformation quantization of such geometries. All constructions are canonically derived for regular Lagrangians and/or fundamental Finsler functions on tangent bundles."},"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":"0707.1519","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-07-11T17:44:26Z","cross_cats_sorted":["hep-th","math-ph","math.MP","math.SG"],"title_canon_sha256":"7c3861bb6c5d56a065450e0023b77bdc04a6b459327e56f0cef0567b554b0a30","abstract_canon_sha256":"65377370ea09bc042552e7333c14aac336659f6b303a7dd6a2b87f7e09c06f50"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:24:26.443754Z","signature_b64":"NCac20SiP0hrGvJ4PQpzN1Oi+xFx3dnTbFIyIswj8FOC5z+n0ycEZIB2SpTazi5Rt1YK4dWRRCl55Vssius2CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0138f0ea41f05e1760e298ee2385b3eda1649bc3f8f6bca33dea731386b374ab","last_reissued_at":"2026-07-04T15:24:26.443378Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:24:26.443378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.SG"],"primary_cat":"gr-qc","authors_text":"Sergiu I. Vacaru","submitted_at":"2007-07-11T17:44:26Z","abstract_excerpt":"Finsler and Lagrange spaces can be equivalently represented as almost Kahler manifolds enabled with a metric compatible canonical distinguished connection structure generalizing the Levi Civita connection. The goal of this paper is to perform a natural Fedosov-type deformation quantization of such geometries. All constructions are canonically derived for regular Lagrangians and/or fundamental Finsler functions on tangent bundles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.1519","kind":"arxiv","version":2},"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/0707.1519/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":"0707.1519","created_at":"2026-07-04T15:24:26.443439+00:00"},{"alias_kind":"arxiv_version","alias_value":"0707.1519v2","created_at":"2026-07-04T15:24:26.443439+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.1519","created_at":"2026-07-04T15:24:26.443439+00:00"},{"alias_kind":"pith_short_12","alias_value":"AE4PB2SB6BPB","created_at":"2026-07-04T15:24:26.443439+00:00"},{"alias_kind":"pith_short_16","alias_value":"AE4PB2SB6BPBOYHC","created_at":"2026-07-04T15:24:26.443439+00:00"},{"alias_kind":"pith_short_8","alias_value":"AE4PB2SB","created_at":"2026-07-04T15:24:26.443439+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/AE4PB2SB6BPBOYHCTDXCHBNT5W","json":"https://pith.science/pith/AE4PB2SB6BPBOYHCTDXCHBNT5W.json","graph_json":"https://pith.science/api/pith-number/AE4PB2SB6BPBOYHCTDXCHBNT5W/graph.json","events_json":"https://pith.science/api/pith-number/AE4PB2SB6BPBOYHCTDXCHBNT5W/events.json","paper":"https://pith.science/paper/AE4PB2SB"},"agent_actions":{"view_html":"https://pith.science/pith/AE4PB2SB6BPBOYHCTDXCHBNT5W","download_json":"https://pith.science/pith/AE4PB2SB6BPBOYHCTDXCHBNT5W.json","view_paper":"https://pith.science/paper/AE4PB2SB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0707.1519&json=true","fetch_graph":"https://pith.science/api/pith-number/AE4PB2SB6BPBOYHCTDXCHBNT5W/graph.json","fetch_events":"https://pith.science/api/pith-number/AE4PB2SB6BPBOYHCTDXCHBNT5W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AE4PB2SB6BPBOYHCTDXCHBNT5W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AE4PB2SB6BPBOYHCTDXCHBNT5W/action/storage_attestation","attest_author":"https://pith.science/pith/AE4PB2SB6BPBOYHCTDXCHBNT5W/action/author_attestation","sign_citation":"https://pith.science/pith/AE4PB2SB6BPBOYHCTDXCHBNT5W/action/citation_signature","submit_replication":"https://pith.science/pith/AE4PB2SB6BPBOYHCTDXCHBNT5W/action/replication_record"}},"created_at":"2026-07-04T15:24:26.443439+00:00","updated_at":"2026-07-04T15:24:26.443439+00:00"}