{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:6ZAT3WSZOVNPGNWAVXR5GNW7E6","short_pith_number":"pith:6ZAT3WSZ","schema_version":"1.0","canonical_sha256":"f6413dda59755af336c0ade3d336df278a12d2993067f7038c4001d6f10907bf","source":{"kind":"arxiv","id":"2607.19037","version":1},"attestation_state":"computed","paper":{"title":"Semiclassical analysis for Yang--Mills random connections on compact surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Elias Nohra, Nguyen Viet Dang","submitted_at":"2026-07-21T12:28:15Z","abstract_excerpt":"We introduce anisotropic Banach spaces of distributional 1-forms on compact surfaces designed to capture the fine regularity properties of Morse gauge-fixed Yang--Mills random connections.\n  Using singular connections supported on unstable curves of a Morse gradient flow, we provide a new description of the moduli space of flat connections and of its canonical Atiyah--Bott--Goldman symplectic form. When the group is the special unitary group, we prove that in the zero-area limit, the Yang--Mills random connection converges, within these anisotropic spaces, to a random distributional 1-form who"},"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":"2607.19037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-07-21T12:28:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"de8b10b8276bb92fa7c78a7aa041b5c9621e20dc8cb67d3e907931b90af390dc","abstract_canon_sha256":"70972a2a62a00e61bb96572f76bfb88beb4649092e92822d89219cb52d5b4066"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-22T01:24:05.358733Z","signature_b64":"NgLrU7APVmStQOafJcVOBcv9lIbcX1NgGSjzuA7P82Fr63rWxf566uMVY5UVNWzVJC27PLvz2YzqDAjizaGSAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6413dda59755af336c0ade3d336df278a12d2993067f7038c4001d6f10907bf","last_reissued_at":"2026-07-22T01:24:05.357913Z","signature_status":"signed_v1","first_computed_at":"2026-07-22T01:24:05.357913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semiclassical analysis for Yang--Mills random connections on compact surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Elias Nohra, Nguyen Viet Dang","submitted_at":"2026-07-21T12:28:15Z","abstract_excerpt":"We introduce anisotropic Banach spaces of distributional 1-forms on compact surfaces designed to capture the fine regularity properties of Morse gauge-fixed Yang--Mills random connections.\n  Using singular connections supported on unstable curves of a Morse gradient flow, we provide a new description of the moduli space of flat connections and of its canonical Atiyah--Bott--Goldman symplectic form. When the group is the special unitary group, we prove that in the zero-area limit, the Yang--Mills random connection converges, within these anisotropic spaces, to a random distributional 1-form who"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19037","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/2607.19037/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":"2607.19037","created_at":"2026-07-22T01:24:05.358351+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.19037v1","created_at":"2026-07-22T01:24:05.358351+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19037","created_at":"2026-07-22T01:24:05.358351+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ZAT3WSZOVNP","created_at":"2026-07-22T01:24:05.358351+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ZAT3WSZOVNPGNWA","created_at":"2026-07-22T01:24:05.358351+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ZAT3WSZ","created_at":"2026-07-22T01:24:05.358351+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/6ZAT3WSZOVNPGNWAVXR5GNW7E6","json":"https://pith.science/pith/6ZAT3WSZOVNPGNWAVXR5GNW7E6.json","graph_json":"https://pith.science/api/pith-number/6ZAT3WSZOVNPGNWAVXR5GNW7E6/graph.json","events_json":"https://pith.science/api/pith-number/6ZAT3WSZOVNPGNWAVXR5GNW7E6/events.json","paper":"https://pith.science/paper/6ZAT3WSZ"},"agent_actions":{"view_html":"https://pith.science/pith/6ZAT3WSZOVNPGNWAVXR5GNW7E6","download_json":"https://pith.science/pith/6ZAT3WSZOVNPGNWAVXR5GNW7E6.json","view_paper":"https://pith.science/paper/6ZAT3WSZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.19037&json=true","fetch_graph":"https://pith.science/api/pith-number/6ZAT3WSZOVNPGNWAVXR5GNW7E6/graph.json","fetch_events":"https://pith.science/api/pith-number/6ZAT3WSZOVNPGNWAVXR5GNW7E6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ZAT3WSZOVNPGNWAVXR5GNW7E6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ZAT3WSZOVNPGNWAVXR5GNW7E6/action/storage_attestation","attest_author":"https://pith.science/pith/6ZAT3WSZOVNPGNWAVXR5GNW7E6/action/author_attestation","sign_citation":"https://pith.science/pith/6ZAT3WSZOVNPGNWAVXR5GNW7E6/action/citation_signature","submit_replication":"https://pith.science/pith/6ZAT3WSZOVNPGNWAVXR5GNW7E6/action/replication_record"}},"created_at":"2026-07-22T01:24:05.358351+00:00","updated_at":"2026-07-22T01:24:05.358351+00:00"}