{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:P6JEAKY4BKXQMN4RFXESSJ2J3D","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":"5ed6c89e9fa40027d179dedeb5b03b86946982f66fde36c45699b5411c274e17","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-04-05T12:51:53Z","title_canon_sha256":"ba54b1e802e1662073e6d919797c00019b45cff021e8f53d17d49036d7d55bf2"},"schema_version":"1.0","source":{"id":"2504.04162","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.04162","created_at":"2026-07-05T11:13:23Z"},{"alias_kind":"arxiv_version","alias_value":"2504.04162v2","created_at":"2026-07-05T11:13:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.04162","created_at":"2026-07-05T11:13:23Z"},{"alias_kind":"pith_short_12","alias_value":"P6JEAKY4BKXQ","created_at":"2026-07-05T11:13:23Z"},{"alias_kind":"pith_short_16","alias_value":"P6JEAKY4BKXQMN4R","created_at":"2026-07-05T11:13:23Z"},{"alias_kind":"pith_short_8","alias_value":"P6JEAKY4","created_at":"2026-07-05T11:13:23Z"}],"graph_snapshots":[{"event_id":"sha256:4ae704adadef084df6ac62b27ff3c1362f90ef6adb96d10ad4e633a8d6891190","target":"graph","created_at":"2026-07-05T11:13:23Z","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/2504.04162/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study coupled KPZ equations with three control parameters $X,Y,T$. These equations are used in the context of stretched polymers in a random medium, for the spacetime spin-spin correlator of the isotropic quantum Heisenberg chain, and for exciton-polariton condensates. In an earlier article we investigated merely the diagonal $X=Y$, $T=1$. Then the stationary measure is delta-correlated Gaussian and the dynamical exponent is obtained numerically to be close to $z = \\tfrac{3}{2}$. We observed that the scaling functions of the dynamic correlator change smoothly when varying $X$. In this contr","authors_text":"Abhishek Dhar, Dipankar Roy, Herbert Spohn, Manas Kulkarni","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-04-05T12:51:53Z","title":"Fixed Points and Universality Classes in Coupled Kardar-Parisi-Zhang Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.04162","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":"sha256:51a741fbd98acdb1b00795492ad0e6c0883410413012f5cc9c1f78854126d447","target":"record","created_at":"2026-07-05T11:13:23Z","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":"5ed6c89e9fa40027d179dedeb5b03b86946982f66fde36c45699b5411c274e17","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-04-05T12:51:53Z","title_canon_sha256":"ba54b1e802e1662073e6d919797c00019b45cff021e8f53d17d49036d7d55bf2"},"schema_version":"1.0","source":{"id":"2504.04162","kind":"arxiv","version":2}},"canonical_sha256":"7f92402b1c0aaf0637912dc9292749d8f5800245c5630119675f4102c4578cc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f92402b1c0aaf0637912dc9292749d8f5800245c5630119675f4102c4578cc8","first_computed_at":"2026-07-05T11:13:23.644147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:13:23.644147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HtP3jdRYC2ke0OiAUeH5OGP9C90utZ6/WiaAkGxOh2CMAsPbOxeVheha9C7EY+4HU5O5nHBUaLm8FbxlIIP2Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:13:23.644655Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.04162","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51a741fbd98acdb1b00795492ad0e6c0883410413012f5cc9c1f78854126d447","sha256:4ae704adadef084df6ac62b27ff3c1362f90ef6adb96d10ad4e633a8d6891190"],"state_sha256":"a6d8ef1d181b06198df8d7cdfd96db4868ee8e0cae501e591d0e3587e088f8ae"}