{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:M7L4KI54BFYIUVBC7BQUU4VYSG","short_pith_number":"pith:M7L4KI54","schema_version":"1.0","canonical_sha256":"67d7c523bc09708a5422f8614a72b89191a322099cba80471015ce08813facba","source":{"kind":"arxiv","id":"2507.14363","version":1},"attestation_state":"computed","paper":{"title":"Seven Sphere Quantization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.QA","math.RT"],"primary_cat":"math.SG","authors_text":"Andrew Waldron, Can G\\\"ormez, Subhobrata Chatterjee","submitted_at":"2025-07-18T21:00:12Z","abstract_excerpt":"Co-oriented contact manifolds quite generally describe classical dynamical systems. Quantization is achieved by suitably associating a Schr\\\"odinger equation to every path in the contact manifold. We quantize the standard contact seven sphere by treating it as a homogeneous space of the quaternionic unitary group in order to construct a contact analog of Fedosov's formal connection on symplectic spinor bundles. We show that requiring convergence of the formal connection naturally filters the symplectic spinor bundle and yields an exact flat connection on each corresponding subbundle. A key ing"},"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":"2507.14363","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-07-18T21:00:12Z","cross_cats_sorted":["hep-th","math-ph","math.MP","math.QA","math.RT"],"title_canon_sha256":"413f2d1b39408d4e7d7f64db3cf6c71ae0fd2ee8de79fe92beaa89ed4734767e","abstract_canon_sha256":"2b99f215a0ab4967cf737f9a288f750104bd234c6618daeff743098df809f1ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:40:04.894618Z","signature_b64":"+rIjzzD01gFBl8YXdnI/cO6EYd+BnfpCV52D63U3so9PZuwEczs63xyNHfwEPnAnyuUH4yIwbJSBVqIKDXS/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67d7c523bc09708a5422f8614a72b89191a322099cba80471015ce08813facba","last_reissued_at":"2026-07-05T11:40:04.894095Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:40:04.894095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Seven Sphere Quantization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.QA","math.RT"],"primary_cat":"math.SG","authors_text":"Andrew Waldron, Can G\\\"ormez, Subhobrata Chatterjee","submitted_at":"2025-07-18T21:00:12Z","abstract_excerpt":"Co-oriented contact manifolds quite generally describe classical dynamical systems. Quantization is achieved by suitably associating a Schr\\\"odinger equation to every path in the contact manifold. We quantize the standard contact seven sphere by treating it as a homogeneous space of the quaternionic unitary group in order to construct a contact analog of Fedosov's formal connection on symplectic spinor bundles. We show that requiring convergence of the formal connection naturally filters the symplectic spinor bundle and yields an exact flat connection on each corresponding subbundle. A key ing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.14363","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/2507.14363/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":"2507.14363","created_at":"2026-07-05T11:40:04.894167+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.14363v1","created_at":"2026-07-05T11:40:04.894167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.14363","created_at":"2026-07-05T11:40:04.894167+00:00"},{"alias_kind":"pith_short_12","alias_value":"M7L4KI54BFYI","created_at":"2026-07-05T11:40:04.894167+00:00"},{"alias_kind":"pith_short_16","alias_value":"M7L4KI54BFYIUVBC","created_at":"2026-07-05T11:40:04.894167+00:00"},{"alias_kind":"pith_short_8","alias_value":"M7L4KI54","created_at":"2026-07-05T11:40:04.894167+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/M7L4KI54BFYIUVBC7BQUU4VYSG","json":"https://pith.science/pith/M7L4KI54BFYIUVBC7BQUU4VYSG.json","graph_json":"https://pith.science/api/pith-number/M7L4KI54BFYIUVBC7BQUU4VYSG/graph.json","events_json":"https://pith.science/api/pith-number/M7L4KI54BFYIUVBC7BQUU4VYSG/events.json","paper":"https://pith.science/paper/M7L4KI54"},"agent_actions":{"view_html":"https://pith.science/pith/M7L4KI54BFYIUVBC7BQUU4VYSG","download_json":"https://pith.science/pith/M7L4KI54BFYIUVBC7BQUU4VYSG.json","view_paper":"https://pith.science/paper/M7L4KI54","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.14363&json=true","fetch_graph":"https://pith.science/api/pith-number/M7L4KI54BFYIUVBC7BQUU4VYSG/graph.json","fetch_events":"https://pith.science/api/pith-number/M7L4KI54BFYIUVBC7BQUU4VYSG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M7L4KI54BFYIUVBC7BQUU4VYSG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M7L4KI54BFYIUVBC7BQUU4VYSG/action/storage_attestation","attest_author":"https://pith.science/pith/M7L4KI54BFYIUVBC7BQUU4VYSG/action/author_attestation","sign_citation":"https://pith.science/pith/M7L4KI54BFYIUVBC7BQUU4VYSG/action/citation_signature","submit_replication":"https://pith.science/pith/M7L4KI54BFYIUVBC7BQUU4VYSG/action/replication_record"}},"created_at":"2026-07-05T11:40:04.894167+00:00","updated_at":"2026-07-05T11:40:04.894167+00:00"}