{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:J4UGXAGOMVPN2BCNXMHPAW76A6","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":"81bcb05f859cdf82a6e68fb2cdc30c124e268e9a6f114fea39c2a6e5d5eba24c","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-19T16:55:55Z","title_canon_sha256":"20ae7e50548663bcd943b713745770f416fb9b592e89d5b13dbbadaff8f6950c"},"schema_version":"1.0","source":{"id":"1409.5724","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5724","created_at":"2026-05-18T01:21:55Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5724v1","created_at":"2026-05-18T01:21:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5724","created_at":"2026-05-18T01:21:55Z"},{"alias_kind":"pith_short_12","alias_value":"J4UGXAGOMVPN","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J4UGXAGOMVPN2BCN","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J4UGXAGO","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:0e8edce480d1fe1fa9efa60ba62f44901621635b5bcc5769a07349a0d54c0469","target":"graph","created_at":"2026-05-18T01:21:55Z","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"},"paper":{"abstract_excerpt":"We introduce the dynamical sine-Gordon equation in two space dimensions with parameter $\\beta$, which is the natural dynamic associated to the usual quantum sine-Gordon model. It is shown that when $\\beta^2 \\in (0,\\frac{16\\pi}{3})$ the Wick renormalised equation is well-posed. In the regime $\\beta^2 \\in (0,4\\pi)$, the Da Prato-Debussche method applies, while for $\\beta^2 \\in [4\\pi,\\frac{16\\pi}{3})$, the solution theory is provided via the theory of regularity structures (Hairer 2013). We also show that this model arises naturally from a class of $2+1$-dimensional equilibrium interface fluctuat","authors_text":"Hao Shen, Martin Hairer","cross_cats":["math-ph","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-19T16:55:55Z","title":"The dynamical sine-Gordon model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5724","kind":"arxiv","version":1},"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":"sha256:3e3a85a4b54bfe85c40698e978d7b3f2dd465cc315ce8dc5b551b82470fa7dbf","target":"record","created_at":"2026-05-18T01:21:55Z","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":"81bcb05f859cdf82a6e68fb2cdc30c124e268e9a6f114fea39c2a6e5d5eba24c","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-19T16:55:55Z","title_canon_sha256":"20ae7e50548663bcd943b713745770f416fb9b592e89d5b13dbbadaff8f6950c"},"schema_version":"1.0","source":{"id":"1409.5724","kind":"arxiv","version":1}},"canonical_sha256":"4f286b80ce655edd044dbb0ef05bfe079009ae10b16d077c2a2e4a33764da751","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f286b80ce655edd044dbb0ef05bfe079009ae10b16d077c2a2e4a33764da751","first_computed_at":"2026-05-18T01:21:55.911470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:55.911470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l+tv+or5hQRVMylDsNUy9OxX19CzZ6KHbvsC/RhrMtc/ds+Py7AP7OGCGac5AeyUguQp6DvsbrnRNyYecR6wCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:55.912054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5724","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e3a85a4b54bfe85c40698e978d7b3f2dd465cc315ce8dc5b551b82470fa7dbf","sha256:0e8edce480d1fe1fa9efa60ba62f44901621635b5bcc5769a07349a0d54c0469"],"state_sha256":"057c62bc6f7013ecdac6b26bc90c702803c262a698318c61994208c7accaef78"}