{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GW76JWGT5PXDTMRLC27G3QKMZ6","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":"4e716149f2ead016b3e74508d105ee03fc1fd3685bb2d685e9cc8d918a2e9f71","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-12-19T10:21:58Z","title_canon_sha256":"f75ebfc703579e5d792781afa8ae4760ebf0ac77a1aedc5cd11d2250376c6c1a"},"schema_version":"1.0","source":{"id":"2412.14712","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.14712","created_at":"2026-07-05T09:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"2412.14712v1","created_at":"2026-07-05T09:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.14712","created_at":"2026-07-05T09:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"GW76JWGT5PXD","created_at":"2026-07-05T09:51:51Z"},{"alias_kind":"pith_short_16","alias_value":"GW76JWGT5PXDTMRL","created_at":"2026-07-05T09:51:51Z"},{"alias_kind":"pith_short_8","alias_value":"GW76JWGT","created_at":"2026-07-05T09:51:51Z"}],"graph_snapshots":[{"event_id":"sha256:62db3065202dd8bc639fec9a431402e3413e7d4b47d6ab7e39da76808b020f20","target":"graph","created_at":"2026-07-05T09:51:51Z","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/2412.14712/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper describes directed polymer on general time-correlated random field. Law of large numbers, existence and smoothness of limiting free energies are proved at all temperature. We also display the delocalized-localized transition, via separating techniques for entanglement of the random field.","authors_text":"Jiaming Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-12-19T10:21:58Z","title":"On the localization regime of high-dimensional directed polymers in time-correlated random field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.14712","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":"sha256:1839c6c495cf5203d3bc639c72c132d0e6cac054a08d1f7dc228ceb2185252f7","target":"record","created_at":"2026-07-05T09:51:51Z","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":"4e716149f2ead016b3e74508d105ee03fc1fd3685bb2d685e9cc8d918a2e9f71","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-12-19T10:21:58Z","title_canon_sha256":"f75ebfc703579e5d792781afa8ae4760ebf0ac77a1aedc5cd11d2250376c6c1a"},"schema_version":"1.0","source":{"id":"2412.14712","kind":"arxiv","version":1}},"canonical_sha256":"35bfe4d8d3ebee39b22b16be6dc14ccf94b774b520c2213250de16ba589a68a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35bfe4d8d3ebee39b22b16be6dc14ccf94b774b520c2213250de16ba589a68a5","first_computed_at":"2026-07-05T09:51:51.538935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:51:51.538935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"++d5sgdIo1zVwRA7coxD3faw40VcDqU5J1Q5ulwYaVaLopP4P8kX6jOgq8yI8jYrlYUwMjIlwQ1PTU3YW4r1AA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:51:51.539334Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.14712","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1839c6c495cf5203d3bc639c72c132d0e6cac054a08d1f7dc228ceb2185252f7","sha256:62db3065202dd8bc639fec9a431402e3413e7d4b47d6ab7e39da76808b020f20"],"state_sha256":"77cb128ccf8aabc43843125aed51ed057f88f61a8a9d73d8b611c9ad79887d4e"}