{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:KWGZ42IHYOBGYHYWBRUH2U5XLP","short_pith_number":"pith:KWGZ42IH","canonical_record":{"source":{"id":"cond-mat/0606796","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-30T08:26:37Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"b92865081836b90c4c18b63959886ede48dfe0f426e3b1dee5213d91b89d9ecd","abstract_canon_sha256":"743e0974375e87b1d10228f7d5e81f64caacfd9ae10fcb88c725af400b8cfc08"},"schema_version":"1.0"},"canonical_sha256":"558d9e6907c3826c1f160c687d53b75bc29c3993d6271f3ea747740e0a30ab94","source":{"kind":"arxiv","id":"cond-mat/0606796","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0606796","created_at":"2026-05-18T01:39:45Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0606796v1","created_at":"2026-05-18T01:39:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0606796","created_at":"2026-05-18T01:39:45Z"},{"alias_kind":"pith_short_12","alias_value":"KWGZ42IHYOBG","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"KWGZ42IHYOBGYHYW","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"KWGZ42IH","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:KWGZ42IHYOBGYHYWBRUH2U5XLP","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0606796","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-30T08:26:37Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"b92865081836b90c4c18b63959886ede48dfe0f426e3b1dee5213d91b89d9ecd","abstract_canon_sha256":"743e0974375e87b1d10228f7d5e81f64caacfd9ae10fcb88c725af400b8cfc08"},"schema_version":"1.0"},"canonical_sha256":"558d9e6907c3826c1f160c687d53b75bc29c3993d6271f3ea747740e0a30ab94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:45.218214Z","signature_b64":"7n9dsMWP51J8cO66jGRQO6GwslS269yk6h2hTmifwo+TvLEMwoMf2qIC1el8I2HmGkT0RcpcIUl79KgoH+mMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"558d9e6907c3826c1f160c687d53b75bc29c3993d6271f3ea747740e0a30ab94","last_reissued_at":"2026-05-18T01:39:45.217576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:45.217576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0606796","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":"2026-05-18T01:39:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sjgzwowns4GWGpu98Nr7QNHWm/GKLPguuqBsRamy243xaWZb5gUhCwAbHuKu4/VbWLOp0NwUrmeZVjIMvOMCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:34:17.237187Z"},"content_sha256":"1e974a22bb27ae5da1ad5c85e600d1d63afaf7bbcfb45fe0b19d4d60ab1db743","schema_version":"1.0","event_id":"sha256:1e974a22bb27ae5da1ad5c85e600d1d63afaf7bbcfb45fe0b19d4d60ab1db743"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:KWGZ42IHYOBGYHYWBRUH2U5XLP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relation between directed polymers in random media and random bond dimer models","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Thorsten Emig, Ying Jiang","submitted_at":"2006-06-30T08:26:37Z","abstract_excerpt":"We reassess the relation between classical lattice dimer models and the continuum elastic description of a lattice of fluctuating polymers. In the absence of randomness we determine the density and line tension of the polymers in terms of the bond weights of hard-core dimers on the square and the hexagonal lattice. For the latter, we demonstrate the equivalence of the canonical ensemble for the dimer model and the grand-canonical description for polymers by performing explicitly the continuum limit. Using this equivalence for the random bond dimer model on a square lattice, we resolve a previo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0606796","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":"2026-05-18T01:39:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UEJNsUNE048uTut7j00Z5//vuWpdSH7rgbMiNZr5JcvUZBHkMTkUYQrXwqcTAiNmfG37rS3KL2Zexu5Pq53wDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:34:17.237556Z"},"content_sha256":"bd70943b7830dec57d58d670d15e52958c09b9201112ea158d0204ab0c2f0912","schema_version":"1.0","event_id":"sha256:bd70943b7830dec57d58d670d15e52958c09b9201112ea158d0204ab0c2f0912"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KWGZ42IHYOBGYHYWBRUH2U5XLP/bundle.json","state_url":"https://pith.science/pith/KWGZ42IHYOBGYHYWBRUH2U5XLP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KWGZ42IHYOBGYHYWBRUH2U5XLP/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":"2026-06-01T12:34:17Z","links":{"resolver":"https://pith.science/pith/KWGZ42IHYOBGYHYWBRUH2U5XLP","bundle":"https://pith.science/pith/KWGZ42IHYOBGYHYWBRUH2U5XLP/bundle.json","state":"https://pith.science/pith/KWGZ42IHYOBGYHYWBRUH2U5XLP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KWGZ42IHYOBGYHYWBRUH2U5XLP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:KWGZ42IHYOBGYHYWBRUH2U5XLP","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":"743e0974375e87b1d10228f7d5e81f64caacfd9ae10fcb88c725af400b8cfc08","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-30T08:26:37Z","title_canon_sha256":"b92865081836b90c4c18b63959886ede48dfe0f426e3b1dee5213d91b89d9ecd"},"schema_version":"1.0","source":{"id":"cond-mat/0606796","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0606796","created_at":"2026-05-18T01:39:45Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0606796v1","created_at":"2026-05-18T01:39:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0606796","created_at":"2026-05-18T01:39:45Z"},{"alias_kind":"pith_short_12","alias_value":"KWGZ42IHYOBG","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"KWGZ42IHYOBGYHYW","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"KWGZ42IH","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:bd70943b7830dec57d58d670d15e52958c09b9201112ea158d0204ab0c2f0912","target":"graph","created_at":"2026-05-18T01:39:45Z","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 reassess the relation between classical lattice dimer models and the continuum elastic description of a lattice of fluctuating polymers. In the absence of randomness we determine the density and line tension of the polymers in terms of the bond weights of hard-core dimers on the square and the hexagonal lattice. For the latter, we demonstrate the equivalence of the canonical ensemble for the dimer model and the grand-canonical description for polymers by performing explicitly the continuum limit. Using this equivalence for the random bond dimer model on a square lattice, we resolve a previo","authors_text":"Thorsten Emig, Ying Jiang","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-30T08:26:37Z","title":"Relation between directed polymers in random media and random bond dimer models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0606796","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":"sha256:1e974a22bb27ae5da1ad5c85e600d1d63afaf7bbcfb45fe0b19d4d60ab1db743","target":"record","created_at":"2026-05-18T01:39:45Z","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":"743e0974375e87b1d10228f7d5e81f64caacfd9ae10fcb88c725af400b8cfc08","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-30T08:26:37Z","title_canon_sha256":"b92865081836b90c4c18b63959886ede48dfe0f426e3b1dee5213d91b89d9ecd"},"schema_version":"1.0","source":{"id":"cond-mat/0606796","kind":"arxiv","version":1}},"canonical_sha256":"558d9e6907c3826c1f160c687d53b75bc29c3993d6271f3ea747740e0a30ab94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"558d9e6907c3826c1f160c687d53b75bc29c3993d6271f3ea747740e0a30ab94","first_computed_at":"2026-05-18T01:39:45.217576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:45.217576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7n9dsMWP51J8cO66jGRQO6GwslS269yk6h2hTmifwo+TvLEMwoMf2qIC1el8I2HmGkT0RcpcIUl79KgoH+mMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:45.218214Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0606796","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e974a22bb27ae5da1ad5c85e600d1d63afaf7bbcfb45fe0b19d4d60ab1db743","sha256:bd70943b7830dec57d58d670d15e52958c09b9201112ea158d0204ab0c2f0912"],"state_sha256":"09094bc3d37e8fb7cc84ef43aab78ba6058a8b5efe8241fc76f8f760096cd4e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DHApGPa9d5APsHuP6FOXjFoPHDfqqVZ1TgbizccMfPz4BdHytVw0rGpHcaqz7OAyX4U2F23xD5o5x1CLjUQHAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:34:17.239500Z","bundle_sha256":"57b34f8847fd23607ed626a4873de952f67c5dc2cff56caaf2c0c8e43ec1fe40"}}