{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:EQNK6LIBKZQH637GEV6YSEGNE2","short_pith_number":"pith:EQNK6LIB","canonical_record":{"source":{"id":"1406.7565","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-06-29T21:39:19Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b0911072221a61a265e1810be3a9ea378a61a6f23c4308e7671c37f149fe7b9c","abstract_canon_sha256":"f000961cc2a124f12d73fce8eb6b6987230a036ab9e17b49a36e3c126d69673a"},"schema_version":"1.0"},"canonical_sha256":"241aaf2d0156607f6fe6257d8910cd26bcf8281ac12e5806f52993d8bf0e50fc","source":{"kind":"arxiv","id":"1406.7565","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7565","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7565v1","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7565","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"EQNK6LIBKZQH","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EQNK6LIBKZQH637G","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EQNK6LIB","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:EQNK6LIBKZQH637GEV6YSEGNE2","target":"record","payload":{"canonical_record":{"source":{"id":"1406.7565","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-06-29T21:39:19Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b0911072221a61a265e1810be3a9ea378a61a6f23c4308e7671c37f149fe7b9c","abstract_canon_sha256":"f000961cc2a124f12d73fce8eb6b6987230a036ab9e17b49a36e3c126d69673a"},"schema_version":"1.0"},"canonical_sha256":"241aaf2d0156607f6fe6257d8910cd26bcf8281ac12e5806f52993d8bf0e50fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:58.040220Z","signature_b64":"J8/bmlrURIgo/ZYrVub9/4Z6DRztWnCaoc002Hq5T7dwxkpPRoeZtr7IZIcvn9PuQovkIi86qCiO17gAvqkFDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"241aaf2d0156607f6fe6257d8910cd26bcf8281ac12e5806f52993d8bf0e50fc","last_reissued_at":"2026-05-18T01:41:58.039508Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:58.039508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.7565","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":"2026-05-18T01:41:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AsjvfVbeDGimXtsF5DrShfrfOZlNJf0K2aCTK5yP7iI+bdIkD49gFQkRZFJJq60QSeuxX9r/DjhXJ3UUx4xvDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:04:21.647876Z"},"content_sha256":"72a5a88a028ea1f7adfbc930b741b0a2b2b5ee1c60a2a8e1c9ccfc7b19f91289","schema_version":"1.0","event_id":"sha256:72a5a88a028ea1f7adfbc930b741b0a2b2b5ee1c60a2a8e1c9ccfc7b19f91289"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:EQNK6LIBKZQH637GEV6YSEGNE2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the one dimensional Euclidean matching problem: exact solutions, correlation functions and universality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.dis-nn","authors_text":"Gabriele Sicuro, Sergio Caracciolo","submitted_at":"2014-06-29T21:39:19Z","abstract_excerpt":"We discuss the equivalence relation between the Euclidean bipartite matching problem on the line and on the circumference and the Brownian bridge process on the same domains. The equivalence allows us to compute the correlation function and the optimal cost of the original combinatoric problem in the thermodynamic limit; moreover, we solve also the minimax problem on the line and on the circumference. The properties of the average cost and correlation functions are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7565","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":"2026-05-18T01:41:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EsEuAEGcC9niVJN++WlUqx9XGdDYal0k7X3vY6unD9r7UNKxTkH96I2eSuTFrhLHQzhgtRfF9rlZeKKabMHpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:04:21.648225Z"},"content_sha256":"e587fd7aa71b3568f1b54afb66480904ad484b1c691311405aae75b48e8e213f","schema_version":"1.0","event_id":"sha256:e587fd7aa71b3568f1b54afb66480904ad484b1c691311405aae75b48e8e213f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQNK6LIBKZQH637GEV6YSEGNE2/bundle.json","state_url":"https://pith.science/pith/EQNK6LIBKZQH637GEV6YSEGNE2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQNK6LIBKZQH637GEV6YSEGNE2/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":"2026-06-11T10:04:21Z","links":{"resolver":"https://pith.science/pith/EQNK6LIBKZQH637GEV6YSEGNE2","bundle":"https://pith.science/pith/EQNK6LIBKZQH637GEV6YSEGNE2/bundle.json","state":"https://pith.science/pith/EQNK6LIBKZQH637GEV6YSEGNE2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQNK6LIBKZQH637GEV6YSEGNE2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EQNK6LIBKZQH637GEV6YSEGNE2","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":"f000961cc2a124f12d73fce8eb6b6987230a036ab9e17b49a36e3c126d69673a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-06-29T21:39:19Z","title_canon_sha256":"b0911072221a61a265e1810be3a9ea378a61a6f23c4308e7671c37f149fe7b9c"},"schema_version":"1.0","source":{"id":"1406.7565","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7565","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7565v1","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7565","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"EQNK6LIBKZQH","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EQNK6LIBKZQH637G","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EQNK6LIB","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:e587fd7aa71b3568f1b54afb66480904ad484b1c691311405aae75b48e8e213f","target":"graph","created_at":"2026-05-18T01:41:58Z","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 discuss the equivalence relation between the Euclidean bipartite matching problem on the line and on the circumference and the Brownian bridge process on the same domains. The equivalence allows us to compute the correlation function and the optimal cost of the original combinatoric problem in the thermodynamic limit; moreover, we solve also the minimax problem on the line and on the circumference. The properties of the average cost and correlation functions are discussed.","authors_text":"Gabriele Sicuro, Sergio Caracciolo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-06-29T21:39:19Z","title":"On the one dimensional Euclidean matching problem: exact solutions, correlation functions and universality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7565","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":"sha256:72a5a88a028ea1f7adfbc930b741b0a2b2b5ee1c60a2a8e1c9ccfc7b19f91289","target":"record","created_at":"2026-05-18T01:41:58Z","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":"f000961cc2a124f12d73fce8eb6b6987230a036ab9e17b49a36e3c126d69673a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-06-29T21:39:19Z","title_canon_sha256":"b0911072221a61a265e1810be3a9ea378a61a6f23c4308e7671c37f149fe7b9c"},"schema_version":"1.0","source":{"id":"1406.7565","kind":"arxiv","version":1}},"canonical_sha256":"241aaf2d0156607f6fe6257d8910cd26bcf8281ac12e5806f52993d8bf0e50fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"241aaf2d0156607f6fe6257d8910cd26bcf8281ac12e5806f52993d8bf0e50fc","first_computed_at":"2026-05-18T01:41:58.039508Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:58.039508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J8/bmlrURIgo/ZYrVub9/4Z6DRztWnCaoc002Hq5T7dwxkpPRoeZtr7IZIcvn9PuQovkIi86qCiO17gAvqkFDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:58.040220Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.7565","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72a5a88a028ea1f7adfbc930b741b0a2b2b5ee1c60a2a8e1c9ccfc7b19f91289","sha256:e587fd7aa71b3568f1b54afb66480904ad484b1c691311405aae75b48e8e213f"],"state_sha256":"c48262913f720fdd794ac7517ce9ed9b4c9b3ee4bb169f46aec349dc3379284e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c2gytcW6S2Lw7FQZEBn0HnYzNeLt0piSNB3jgSGrIO8xYHd0XSNRuE28fGkLe0fHbi3AAJmnLa8QcLZzVT7cDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T10:04:21.650181Z","bundle_sha256":"2f2007948b9e55717aeff9cccee3af96f8b0503c67d9e0eb569b3e6670202bde"}}