{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:HJXC3N6MAKN5CIWARJM4FKWKXK","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":"685c2ff01911b8883e9e50fc125e8c1c9c2b8e10a446f8e6f27ccb4dc58b2c3f","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.soft","submitted_at":"1999-12-19T09:47:07Z","title_canon_sha256":"d7ea5d774bfadef9a580a4653e40ed27c5fcc2d39596749a8c309619c2feae06"},"schema_version":"1.0","source":{"id":"cond-mat/9912341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9912341","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9912341v1","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9912341","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"HJXC3N6MAKN5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"HJXC3N6MAKN5CIWA","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"HJXC3N6M","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:7334be12c176d6872ec63e772694e35170604d78e4c43bd45819849e9398bb96","target":"graph","created_at":"2026-05-18T04:34:01Z","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 present systematic numerical simulations for directed polymers at finite temperatures in 1+1 and 2+1 dimensions. The transverse fluctuations and free energy fluctuations tend to the strong coupling limit at any temperature in both 1+1 and 2+1 dimensions for long time t. Two different definitions for energy fluctuations at finite temperatures, which are the ensemble energy fluctuations and the internal energy fluctuations, are investigated. Apart from zero temperature, the behavior of the energy fluctuations and the free energy fluctuations for directed polymers is shown to be different. At ","authors_text":"Moshe Schwartz, Shlomo Havlin, Xiao-Hong Wang","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"1999-12-19T09:47:07Z","title":"Directed polymers at finite temperatures in 1+1 and 2+1 dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9912341","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":"sha256:8ede830da2f1e15d18bb19a501263a71ebd369a075c35963d262f36cf46a404e","target":"record","created_at":"2026-05-18T04:34:01Z","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":"685c2ff01911b8883e9e50fc125e8c1c9c2b8e10a446f8e6f27ccb4dc58b2c3f","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.soft","submitted_at":"1999-12-19T09:47:07Z","title_canon_sha256":"d7ea5d774bfadef9a580a4653e40ed27c5fcc2d39596749a8c309619c2feae06"},"schema_version":"1.0","source":{"id":"cond-mat/9912341","kind":"arxiv","version":1}},"canonical_sha256":"3a6e2db7cc029bd122c08a59c2aacaba9befda0d6e1a0744a4e465d45ee83002","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a6e2db7cc029bd122c08a59c2aacaba9befda0d6e1a0744a4e465d45ee83002","first_computed_at":"2026-05-18T04:34:01.602333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:01.602333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EkyCN7PYDSv1BFg2gvvnwWnwMx5WJqacYbKhbclRGYMuI95WVWx16z7Eayn/JcU6bmZEv8xvWVJ5XrAwcrD/CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:01.602859Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9912341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ede830da2f1e15d18bb19a501263a71ebd369a075c35963d262f36cf46a404e","sha256:7334be12c176d6872ec63e772694e35170604d78e4c43bd45819849e9398bb96"],"state_sha256":"1678b1fdf789af973ec9c80d9215247f158f983500b5c1ab147edff89f4ce3d8"}