{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VAMSQ2KBQDPNHP633RLFPWUABT","short_pith_number":"pith:VAMSQ2KB","canonical_record":{"source":{"id":"2501.12172","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-21T14:30:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b22d93f5363fb2f76a5d1213485587f4879bbf267b1c44113fc3804a42cfa243","abstract_canon_sha256":"0c3b7bdbab5a5c2d56dfd8b14f84ef5611d1097b4006c29c6f42dd9010a1b17e"},"schema_version":"1.0"},"canonical_sha256":"a81928694180ded3bfdbdc5657da800ce83ad351543230ce3633398d69bfebf2","source":{"kind":"arxiv","id":"2501.12172","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.12172","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"arxiv_version","alias_value":"2501.12172v2","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.12172","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"pith_short_12","alias_value":"VAMSQ2KBQDPN","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"pith_short_16","alias_value":"VAMSQ2KBQDPNHP63","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"pith_short_8","alias_value":"VAMSQ2KB","created_at":"2026-07-05T10:46:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VAMSQ2KBQDPNHP633RLFPWUABT","target":"record","payload":{"canonical_record":{"source":{"id":"2501.12172","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-21T14:30:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b22d93f5363fb2f76a5d1213485587f4879bbf267b1c44113fc3804a42cfa243","abstract_canon_sha256":"0c3b7bdbab5a5c2d56dfd8b14f84ef5611d1097b4006c29c6f42dd9010a1b17e"},"schema_version":"1.0"},"canonical_sha256":"a81928694180ded3bfdbdc5657da800ce83ad351543230ce3633398d69bfebf2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:46:40.684928Z","signature_b64":"7ZeX4bK9yKcsGumXvQzLgshzcf27iGzu4rx6xDwita28KPbFMbXQTX7BEtAuia0phu4UdyJsdw3QEe0XvowFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a81928694180ded3bfdbdc5657da800ce83ad351543230ce3633398d69bfebf2","last_reissued_at":"2026-07-05T10:46:40.684406Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:46:40.684406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.12172","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:46:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LurNkw0hQ7v4kkZFbkbYkeSF2DFnm4+o3SpSMLeu+C5jSWXAaoqVeB5VBZp75JezFfIEfRztGN4KfFMwSyemCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T08:54:49.596329Z"},"content_sha256":"16de88bcb31283cb4efa6b78dc5c57e87567f3019e9f936048c9475f2490ffb8","schema_version":"1.0","event_id":"sha256:16de88bcb31283cb4efa6b78dc5c57e87567f3019e9f936048c9475f2490ffb8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VAMSQ2KBQDPNHP633RLFPWUABT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A quadratic BSDE approach to normalization for the finite volume 2D sine-Gordon model in the finite ultraviolet regime","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Rundong Xu, Shanjian Tang","submitted_at":"2025-01-21T14:30:56Z","abstract_excerpt":"This paper is devoted to a new construction of the two-dimensional sine-Gordon model on bounded domains by a novel normalization technique in the finite ultraviolet regime. Our methodology involves a family of backward stochastic differential equations (BSDEs for short) driven by a cylindrical Wiener process, whose generators are purely quadratic functions of the second unknown variable. The terminal conditions of the quadratic BSDEs are uniformly bounded and converge in probability to the real part of imaginary multiplicative chaos tested against an arbitrarily given test function, which help"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.12172","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/2501.12172/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:46:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qV8om31DPCRzLN+mn7RZDFQLMMIs3yCScvKt/tzewLnm+bKCvp7wAQH2d9flMIfBi8VRjyhzn6V7g7wihOdvBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T08:54:49.596812Z"},"content_sha256":"86e6d22ed99f1a6293f1a5ff217950a675ace4c3e723f2c6bae8ff962c1ea877","schema_version":"1.0","event_id":"sha256:86e6d22ed99f1a6293f1a5ff217950a675ace4c3e723f2c6bae8ff962c1ea877"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VAMSQ2KBQDPNHP633RLFPWUABT/bundle.json","state_url":"https://pith.science/pith/VAMSQ2KBQDPNHP633RLFPWUABT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VAMSQ2KBQDPNHP633RLFPWUABT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-05T08:54:49Z","links":{"resolver":"https://pith.science/pith/VAMSQ2KBQDPNHP633RLFPWUABT","bundle":"https://pith.science/pith/VAMSQ2KBQDPNHP633RLFPWUABT/bundle.json","state":"https://pith.science/pith/VAMSQ2KBQDPNHP633RLFPWUABT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VAMSQ2KBQDPNHP633RLFPWUABT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VAMSQ2KBQDPNHP633RLFPWUABT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0c3b7bdbab5a5c2d56dfd8b14f84ef5611d1097b4006c29c6f42dd9010a1b17e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-21T14:30:56Z","title_canon_sha256":"b22d93f5363fb2f76a5d1213485587f4879bbf267b1c44113fc3804a42cfa243"},"schema_version":"1.0","source":{"id":"2501.12172","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.12172","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"arxiv_version","alias_value":"2501.12172v2","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.12172","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"pith_short_12","alias_value":"VAMSQ2KBQDPN","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"pith_short_16","alias_value":"VAMSQ2KBQDPNHP63","created_at":"2026-07-05T10:46:40Z"},{"alias_kind":"pith_short_8","alias_value":"VAMSQ2KB","created_at":"2026-07-05T10:46:40Z"}],"graph_snapshots":[{"event_id":"sha256:86e6d22ed99f1a6293f1a5ff217950a675ace4c3e723f2c6bae8ff962c1ea877","target":"graph","created_at":"2026-07-05T10:46:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.12172/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is devoted to a new construction of the two-dimensional sine-Gordon model on bounded domains by a novel normalization technique in the finite ultraviolet regime. Our methodology involves a family of backward stochastic differential equations (BSDEs for short) driven by a cylindrical Wiener process, whose generators are purely quadratic functions of the second unknown variable. The terminal conditions of the quadratic BSDEs are uniformly bounded and converge in probability to the real part of imaginary multiplicative chaos tested against an arbitrarily given test function, which help","authors_text":"Rundong Xu, Shanjian Tang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-21T14:30:56Z","title":"A quadratic BSDE approach to normalization for the finite volume 2D sine-Gordon model in the finite ultraviolet regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.12172","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:16de88bcb31283cb4efa6b78dc5c57e87567f3019e9f936048c9475f2490ffb8","target":"record","created_at":"2026-07-05T10:46:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0c3b7bdbab5a5c2d56dfd8b14f84ef5611d1097b4006c29c6f42dd9010a1b17e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-21T14:30:56Z","title_canon_sha256":"b22d93f5363fb2f76a5d1213485587f4879bbf267b1c44113fc3804a42cfa243"},"schema_version":"1.0","source":{"id":"2501.12172","kind":"arxiv","version":2}},"canonical_sha256":"a81928694180ded3bfdbdc5657da800ce83ad351543230ce3633398d69bfebf2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a81928694180ded3bfdbdc5657da800ce83ad351543230ce3633398d69bfebf2","first_computed_at":"2026-07-05T10:46:40.684406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:46:40.684406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7ZeX4bK9yKcsGumXvQzLgshzcf27iGzu4rx6xDwita28KPbFMbXQTX7BEtAuia0phu4UdyJsdw3QEe0XvowFBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:46:40.684928Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.12172","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16de88bcb31283cb4efa6b78dc5c57e87567f3019e9f936048c9475f2490ffb8","sha256:86e6d22ed99f1a6293f1a5ff217950a675ace4c3e723f2c6bae8ff962c1ea877"],"state_sha256":"43a1b319c2861a8efc35f6e81a64381fb89843c0e2f3a798d69da2065e6862f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hoitkPUOrdtyX8fD+/5JgyrGRyaa0W6VkHrfCM7qVE5qeiVVnRLwFMCUkrexHsTaSU5nCtiQy55rG4Puyzj0AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T08:54:49.600580Z","bundle_sha256":"99ee0c5492748b4f0b8148c432fe53785574bda54cde679bda2a786f4cd94af6"}}