{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DW4QBBEFHIRW7IVGFYGVZFEVBV","short_pith_number":"pith:DW4QBBEF","canonical_record":{"source":{"id":"1312.0519","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-02T17:18:41Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f546f55675c5646836afd97c4bfb9a56cedfaceadc63bdbe11bdc994799e5df6","abstract_canon_sha256":"031d18674617d5a4de9ce7b279239f19932abd29f63b3c6f838653a5574b39a2"},"schema_version":"1.0"},"canonical_sha256":"1db90084853a236fa2a62e0d5c94950d567db71e37f0f9e9633ea66d8d009520","source":{"kind":"arxiv","id":"1312.0519","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0519","created_at":"2026-05-18T03:05:45Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0519v1","created_at":"2026-05-18T03:05:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0519","created_at":"2026-05-18T03:05:45Z"},{"alias_kind":"pith_short_12","alias_value":"DW4QBBEFHIRW","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DW4QBBEFHIRW7IVG","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DW4QBBEF","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DW4QBBEFHIRW7IVGFYGVZFEVBV","target":"record","payload":{"canonical_record":{"source":{"id":"1312.0519","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-02T17:18:41Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f546f55675c5646836afd97c4bfb9a56cedfaceadc63bdbe11bdc994799e5df6","abstract_canon_sha256":"031d18674617d5a4de9ce7b279239f19932abd29f63b3c6f838653a5574b39a2"},"schema_version":"1.0"},"canonical_sha256":"1db90084853a236fa2a62e0d5c94950d567db71e37f0f9e9633ea66d8d009520","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:45.484152Z","signature_b64":"FK7LxWjqesBwhmC0zUXUmoqz3XA1Hs9s0gvubYpUkhFH8hvCj/Lalf/GAhlcjj51Hk7duJ/6Ok8VuuCyijcaCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1db90084853a236fa2a62e0d5c94950d567db71e37f0f9e9633ea66d8d009520","last_reissued_at":"2026-05-18T03:05:45.483674Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:45.483674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.0519","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xmVwk1x9yUaanPmUozKoMax55RnSdepvmo3aB0X5dFX6N7vhqcwEWGeNRpns5y1Jll8LS75Zbu93FUHiVCfzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:04:05.604980Z"},"content_sha256":"1f8251966331ac7e049ce7073ba1af7f78757cf8c18f3fb080d6b22f2b9ab0a5","schema_version":"1.0","event_id":"sha256:1f8251966331ac7e049ce7073ba1af7f78757cf8c18f3fb080d6b22f2b9ab0a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DW4QBBEFHIRW7IVGFYGVZFEVBV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluctuation exponents for directed polymers in the intermediate disorder regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Benedek Valk\\'o, Gregorio R. Moreno Flores, Timo Sepp\\\"al\\\"ainen","submitted_at":"2013-12-02T17:18:41Z","abstract_excerpt":"We compute the fluctuation exponents for a solvable model of one-dimensional directed polymers in random environment in the intermediate regime. This regime corresponds to taking the inverse temperature to zero with the size of the system. The exponents satisfy the KPZ scaling relation and coincide with physical predictions. In the critical case, we recover the fluctuation exponents of the Cole-Hopf solution of the KPZ equation in equilibrium and close to equilibrium."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0519","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:05:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"arRERtjPdoO2byQSjE6WK9B+eRoun+vwYNdolD3sg3jkKAZEYyi9rVjsV/yY9Ig+jtnehPgPXEoKmlhUaVjqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:04:05.605646Z"},"content_sha256":"35d239f3a031b3bbe70a89da2937f357694d52844fc56ae7dcb75d23db285a73","schema_version":"1.0","event_id":"sha256:35d239f3a031b3bbe70a89da2937f357694d52844fc56ae7dcb75d23db285a73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DW4QBBEFHIRW7IVGFYGVZFEVBV/bundle.json","state_url":"https://pith.science/pith/DW4QBBEFHIRW7IVGFYGVZFEVBV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DW4QBBEFHIRW7IVGFYGVZFEVBV/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":"2026-06-05T19:04:05Z","links":{"resolver":"https://pith.science/pith/DW4QBBEFHIRW7IVGFYGVZFEVBV","bundle":"https://pith.science/pith/DW4QBBEFHIRW7IVGFYGVZFEVBV/bundle.json","state":"https://pith.science/pith/DW4QBBEFHIRW7IVGFYGVZFEVBV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DW4QBBEFHIRW7IVGFYGVZFEVBV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DW4QBBEFHIRW7IVGFYGVZFEVBV","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":"031d18674617d5a4de9ce7b279239f19932abd29f63b3c6f838653a5574b39a2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-02T17:18:41Z","title_canon_sha256":"f546f55675c5646836afd97c4bfb9a56cedfaceadc63bdbe11bdc994799e5df6"},"schema_version":"1.0","source":{"id":"1312.0519","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0519","created_at":"2026-05-18T03:05:45Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0519v1","created_at":"2026-05-18T03:05:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0519","created_at":"2026-05-18T03:05:45Z"},{"alias_kind":"pith_short_12","alias_value":"DW4QBBEFHIRW","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DW4QBBEFHIRW7IVG","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DW4QBBEF","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:35d239f3a031b3bbe70a89da2937f357694d52844fc56ae7dcb75d23db285a73","target":"graph","created_at":"2026-05-18T03:05:45Z","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 compute the fluctuation exponents for a solvable model of one-dimensional directed polymers in random environment in the intermediate regime. This regime corresponds to taking the inverse temperature to zero with the size of the system. The exponents satisfy the KPZ scaling relation and coincide with physical predictions. In the critical case, we recover the fluctuation exponents of the Cole-Hopf solution of the KPZ equation in equilibrium and close to equilibrium.","authors_text":"Benedek Valk\\'o, Gregorio R. Moreno Flores, Timo Sepp\\\"al\\\"ainen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-02T17:18:41Z","title":"Fluctuation exponents for directed polymers in the intermediate disorder regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0519","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":"sha256:1f8251966331ac7e049ce7073ba1af7f78757cf8c18f3fb080d6b22f2b9ab0a5","target":"record","created_at":"2026-05-18T03:05:45Z","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":"031d18674617d5a4de9ce7b279239f19932abd29f63b3c6f838653a5574b39a2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-02T17:18:41Z","title_canon_sha256":"f546f55675c5646836afd97c4bfb9a56cedfaceadc63bdbe11bdc994799e5df6"},"schema_version":"1.0","source":{"id":"1312.0519","kind":"arxiv","version":1}},"canonical_sha256":"1db90084853a236fa2a62e0d5c94950d567db71e37f0f9e9633ea66d8d009520","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1db90084853a236fa2a62e0d5c94950d567db71e37f0f9e9633ea66d8d009520","first_computed_at":"2026-05-18T03:05:45.483674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:45.483674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FK7LxWjqesBwhmC0zUXUmoqz3XA1Hs9s0gvubYpUkhFH8hvCj/Lalf/GAhlcjj51Hk7duJ/6Ok8VuuCyijcaCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:45.484152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.0519","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f8251966331ac7e049ce7073ba1af7f78757cf8c18f3fb080d6b22f2b9ab0a5","sha256:35d239f3a031b3bbe70a89da2937f357694d52844fc56ae7dcb75d23db285a73"],"state_sha256":"def8463fd3117e6f3015c1d23109fe0f1329bf66d9f00d1ad8950669866be412"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w3+zgnDBOQrAHFCJF3Lsf3w7LnCsTYnVO0CS3fl4TH46vsajewnh/6OCwY9MtbxFOT1c7kmJL/zAXmyQq3SFCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:04:05.608921Z","bundle_sha256":"34916881291ebb4ea09d4b335b64cbe7eae04b71fccb5c50d4b13baf73246916"}}