{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:KSQNRMNV72JFZLJI6SJMLRC6RM","short_pith_number":"pith:KSQNRMNV","schema_version":"1.0","canonical_sha256":"54a0d8b1b5fe925cad28f492c5c45e8b238f91aaaf69d87a91f2ccb7df7e68fb","source":{"kind":"arxiv","id":"2508.14806","version":1},"attestation_state":"computed","paper":{"title":"Twisted Dirac operators and fractional correlations of the massless sine-Gordon model at the free fermion point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Christian Webb, Roland Bauerschmidt, Scott Mason","submitted_at":"2025-08-20T15:54:01Z","abstract_excerpt":"For the massless sine-Gordon model at the free fermion point, in infinite volume, we define the fractional (charge or vertex operator) correlation functions from the probabilistic path integral and prove that they are given by renormalized determinants of massive twisted Dirac operators. The fractional correlation functions are the moments of the imaginary multiplicative chaos, a random generalized function that we construct with respect to the infinite-volume massless sine-Gordon measure. The renormalized determinants are the tau functions of Sato--Miwa--Jimbo as identified by Palmer.\n  The c"},"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":"2508.14806","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-08-20T15:54:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c1225eade79b064fb7546e1c6b84c9de3012f108c90cc1cf989d28fbb9b099c0","abstract_canon_sha256":"9b76ccf14b3efb6f999b27e52d11e4dd802e7f7222a7c683325dba07c0108fd9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:56:44.719204Z","signature_b64":"QFZjYsvbn1rTYw90qg79CFgu1EZpQG6GxE2dhdFq6MM7p10hfSUFEM06EPO6Xp5jUU8b6sRNw04rA//u5Oz6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54a0d8b1b5fe925cad28f492c5c45e8b238f91aaaf69d87a91f2ccb7df7e68fb","last_reissued_at":"2026-07-05T11:56:44.718718Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:56:44.718718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twisted Dirac operators and fractional correlations of the massless sine-Gordon model at the free fermion point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Christian Webb, Roland Bauerschmidt, Scott Mason","submitted_at":"2025-08-20T15:54:01Z","abstract_excerpt":"For the massless sine-Gordon model at the free fermion point, in infinite volume, we define the fractional (charge or vertex operator) correlation functions from the probabilistic path integral and prove that they are given by renormalized determinants of massive twisted Dirac operators. The fractional correlation functions are the moments of the imaginary multiplicative chaos, a random generalized function that we construct with respect to the infinite-volume massless sine-Gordon measure. The renormalized determinants are the tau functions of Sato--Miwa--Jimbo as identified by Palmer.\n  The c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.14806","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/2508.14806/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":"2508.14806","created_at":"2026-07-05T11:56:44.718774+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.14806v1","created_at":"2026-07-05T11:56:44.718774+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.14806","created_at":"2026-07-05T11:56:44.718774+00:00"},{"alias_kind":"pith_short_12","alias_value":"KSQNRMNV72JF","created_at":"2026-07-05T11:56:44.718774+00:00"},{"alias_kind":"pith_short_16","alias_value":"KSQNRMNV72JFZLJI","created_at":"2026-07-05T11:56:44.718774+00:00"},{"alias_kind":"pith_short_8","alias_value":"KSQNRMNV","created_at":"2026-07-05T11:56:44.718774+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.20632","citing_title":"An FBSDE Construction of the Sine-Gordon EQFT for $\\beta^{2} < \\frac{6}{7}\\, 8\\pi$ and Perturbative Renormalization in the Full Subcritical Regime","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KSQNRMNV72JFZLJI6SJMLRC6RM","json":"https://pith.science/pith/KSQNRMNV72JFZLJI6SJMLRC6RM.json","graph_json":"https://pith.science/api/pith-number/KSQNRMNV72JFZLJI6SJMLRC6RM/graph.json","events_json":"https://pith.science/api/pith-number/KSQNRMNV72JFZLJI6SJMLRC6RM/events.json","paper":"https://pith.science/paper/KSQNRMNV"},"agent_actions":{"view_html":"https://pith.science/pith/KSQNRMNV72JFZLJI6SJMLRC6RM","download_json":"https://pith.science/pith/KSQNRMNV72JFZLJI6SJMLRC6RM.json","view_paper":"https://pith.science/paper/KSQNRMNV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.14806&json=true","fetch_graph":"https://pith.science/api/pith-number/KSQNRMNV72JFZLJI6SJMLRC6RM/graph.json","fetch_events":"https://pith.science/api/pith-number/KSQNRMNV72JFZLJI6SJMLRC6RM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KSQNRMNV72JFZLJI6SJMLRC6RM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KSQNRMNV72JFZLJI6SJMLRC6RM/action/storage_attestation","attest_author":"https://pith.science/pith/KSQNRMNV72JFZLJI6SJMLRC6RM/action/author_attestation","sign_citation":"https://pith.science/pith/KSQNRMNV72JFZLJI6SJMLRC6RM/action/citation_signature","submit_replication":"https://pith.science/pith/KSQNRMNV72JFZLJI6SJMLRC6RM/action/replication_record"}},"created_at":"2026-07-05T11:56:44.718774+00:00","updated_at":"2026-07-05T11:56:44.718774+00:00"}