{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:KFYU6CVQJEA4AY6DJNB7R6GAV5","short_pith_number":"pith:KFYU6CVQ","canonical_record":{"source":{"id":"cond-mat/0604301","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-04-12T07:22:27Z","cross_cats_sorted":[],"title_canon_sha256":"f5d7d24aad8b1d43235ff5153a4d7b23268f6ac6b3b081f036f3cc68ce45712a","abstract_canon_sha256":"e53897bfde3d0eb89abc4698839b6ce18fe663a492b97ed5826e14ea2dd8ea70"},"schema_version":"1.0"},"canonical_sha256":"51714f0ab04901c063c34b43f8f8c0af453051c6a5b9d5e08b705aa13e42a193","source":{"kind":"arxiv","id":"cond-mat/0604301","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0604301","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0604301v3","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0604301","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"pith_short_12","alias_value":"KFYU6CVQJEA4","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"pith_short_16","alias_value":"KFYU6CVQJEA4AY6D","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"pith_short_8","alias_value":"KFYU6CVQ","created_at":"2026-07-04T17:00:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:KFYU6CVQJEA4AY6DJNB7R6GAV5","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0604301","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-04-12T07:22:27Z","cross_cats_sorted":[],"title_canon_sha256":"f5d7d24aad8b1d43235ff5153a4d7b23268f6ac6b3b081f036f3cc68ce45712a","abstract_canon_sha256":"e53897bfde3d0eb89abc4698839b6ce18fe663a492b97ed5826e14ea2dd8ea70"},"schema_version":"1.0"},"canonical_sha256":"51714f0ab04901c063c34b43f8f8c0af453051c6a5b9d5e08b705aa13e42a193","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:00:21.056192Z","signature_b64":"QAWh1gZNDHdXf43fLfSyUe2mbyVFBg5YfHPlZ8YwcKdluPGIeJEnPIdxL8cWmPl3eXARDka3ndWeLR71AHzGBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51714f0ab04901c063c34b43f8f8c0af453051c6a5b9d5e08b705aa13e42a193","last_reissued_at":"2026-07-04T17:00:21.055832Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:00:21.055832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0604301","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:00:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+Q0hGj9rmMTHuLkWTk3NFoLUtdvlZ1eU4JrtfAPEg7Vhb7nkJjN0V1J/wYR0VkKNJ1gkGLq0ee3dUVdE/ouBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:45:14.000062Z"},"content_sha256":"e25e2332d314c339b4e4fc7e495c1be34afb6a98caef101e3676ba344eef9d08","schema_version":"1.0","event_id":"sha256:e25e2332d314c339b4e4fc7e495c1be34afb6a98caef101e3676ba344eef9d08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:KFYU6CVQJEA4AY6DJNB7R6GAV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universality classes of the Kardar-Parisi-Zhang equation","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"L. Canet, M. A. Moore","submitted_at":"2006-04-12T07:22:27Z","abstract_excerpt":"We re-examine mode-coupling theory for the Kardar-Parisi-Zhang (KPZ) equation in the strong coupling limit and show that there exists two branches of solutions. One branch (or universality class) only exists for dimensionalities $d<d_c=2$ and is similar to that found by a variety of analytic approaches, including replica symmetry breaking and Flory-Imry-Ma arguments. The second branch exists up to $d_c=4$ and gives values for the dynamical exponent $z$ similar to those of numerical studies for $d\\ge2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0604301","kind":"arxiv","version":3},"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/cond-mat/0604301/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":"2026-07-04T17:00:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"giWi1fObjw0uCgZt49zKu3ySHX3xuMXK3zvCBq7DYqdmsG8NkpTeu5sL+DWHYdKEPNgjFTuVa3T8B5c3AYkYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:45:14.000445Z"},"content_sha256":"eb7495563fb59aa769ecda51db7e82d9ba67062437b379ca40b90b9da467afa4","schema_version":"1.0","event_id":"sha256:eb7495563fb59aa769ecda51db7e82d9ba67062437b379ca40b90b9da467afa4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KFYU6CVQJEA4AY6DJNB7R6GAV5/bundle.json","state_url":"https://pith.science/pith/KFYU6CVQJEA4AY6DJNB7R6GAV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KFYU6CVQJEA4AY6DJNB7R6GAV5/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":"2026-07-05T08:45:14Z","links":{"resolver":"https://pith.science/pith/KFYU6CVQJEA4AY6DJNB7R6GAV5","bundle":"https://pith.science/pith/KFYU6CVQJEA4AY6DJNB7R6GAV5/bundle.json","state":"https://pith.science/pith/KFYU6CVQJEA4AY6DJNB7R6GAV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KFYU6CVQJEA4AY6DJNB7R6GAV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:KFYU6CVQJEA4AY6DJNB7R6GAV5","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":"e53897bfde3d0eb89abc4698839b6ce18fe663a492b97ed5826e14ea2dd8ea70","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-04-12T07:22:27Z","title_canon_sha256":"f5d7d24aad8b1d43235ff5153a4d7b23268f6ac6b3b081f036f3cc68ce45712a"},"schema_version":"1.0","source":{"id":"cond-mat/0604301","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0604301","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0604301v3","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0604301","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"pith_short_12","alias_value":"KFYU6CVQJEA4","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"pith_short_16","alias_value":"KFYU6CVQJEA4AY6D","created_at":"2026-07-04T17:00:21Z"},{"alias_kind":"pith_short_8","alias_value":"KFYU6CVQ","created_at":"2026-07-04T17:00:21Z"}],"graph_snapshots":[{"event_id":"sha256:eb7495563fb59aa769ecda51db7e82d9ba67062437b379ca40b90b9da467afa4","target":"graph","created_at":"2026-07-04T17:00:21Z","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/cond-mat/0604301/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We re-examine mode-coupling theory for the Kardar-Parisi-Zhang (KPZ) equation in the strong coupling limit and show that there exists two branches of solutions. One branch (or universality class) only exists for dimensionalities $d<d_c=2$ and is similar to that found by a variety of analytic approaches, including replica symmetry breaking and Flory-Imry-Ma arguments. The second branch exists up to $d_c=4$ and gives values for the dynamical exponent $z$ similar to those of numerical studies for $d\\ge2$.","authors_text":"L. Canet, M. A. Moore","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-04-12T07:22:27Z","title":"Universality classes of the Kardar-Parisi-Zhang equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0604301","kind":"arxiv","version":3},"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:e25e2332d314c339b4e4fc7e495c1be34afb6a98caef101e3676ba344eef9d08","target":"record","created_at":"2026-07-04T17:00:21Z","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":"e53897bfde3d0eb89abc4698839b6ce18fe663a492b97ed5826e14ea2dd8ea70","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-04-12T07:22:27Z","title_canon_sha256":"f5d7d24aad8b1d43235ff5153a4d7b23268f6ac6b3b081f036f3cc68ce45712a"},"schema_version":"1.0","source":{"id":"cond-mat/0604301","kind":"arxiv","version":3}},"canonical_sha256":"51714f0ab04901c063c34b43f8f8c0af453051c6a5b9d5e08b705aa13e42a193","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51714f0ab04901c063c34b43f8f8c0af453051c6a5b9d5e08b705aa13e42a193","first_computed_at":"2026-07-04T17:00:21.055832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:00:21.055832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QAWh1gZNDHdXf43fLfSyUe2mbyVFBg5YfHPlZ8YwcKdluPGIeJEnPIdxL8cWmPl3eXARDka3ndWeLR71AHzGBw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:00:21.056192Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0604301","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e25e2332d314c339b4e4fc7e495c1be34afb6a98caef101e3676ba344eef9d08","sha256:eb7495563fb59aa769ecda51db7e82d9ba67062437b379ca40b90b9da467afa4"],"state_sha256":"cc19a30bfc48b4ef390f4c5046762499ade1230b4385aaa8d14299d9e17707b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BmttD+njwYVcQLKi+cR2b5iA5dSRkZ+CSkB967/ufhIzLzkArcBd3hT0aSLkz8UguId98mT6fgzmeBXqXkscCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T08:45:14.002359Z","bundle_sha256":"592c6e733c95f4b27b1781fe6b80db61d7d92b2f8638c7ee077ed433945a5718"}}