{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:WXVEGRETTVCFSPXMDBW72R36M2","short_pith_number":"pith:WXVEGRET","canonical_record":{"source":{"id":"0711.4551","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-11-28T18:10:10Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"68dec486294aa72e87be7493dc5f8af55f8d7135cecb49f99252dec580adab53","abstract_canon_sha256":"c80b49aed36a97dee451296c292e087aca94d00cb9174fdf66aeda9a5e49b32a"},"schema_version":"1.0"},"canonical_sha256":"b5ea4344939d44593eec186dfd477e668e3afdd8d4efd066c2bf1bc1c86f42b6","source":{"kind":"arxiv","id":"0711.4551","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.4551","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"arxiv_version","alias_value":"0711.4551v3","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.4551","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"pith_short_12","alias_value":"WXVEGRETTVCF","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"pith_short_16","alias_value":"WXVEGRETTVCFSPXM","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"pith_short_8","alias_value":"WXVEGRET","created_at":"2026-07-04T17:17:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:WXVEGRETTVCFSPXMDBW72R36M2","target":"record","payload":{"canonical_record":{"source":{"id":"0711.4551","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-11-28T18:10:10Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"68dec486294aa72e87be7493dc5f8af55f8d7135cecb49f99252dec580adab53","abstract_canon_sha256":"c80b49aed36a97dee451296c292e087aca94d00cb9174fdf66aeda9a5e49b32a"},"schema_version":"1.0"},"canonical_sha256":"b5ea4344939d44593eec186dfd477e668e3afdd8d4efd066c2bf1bc1c86f42b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:17:40.092386Z","signature_b64":"cht5gFhohujGesUmOcqJQXW/eBHBDWBFcat/Wteg1U4qNZLKReq9qeTPM/vCDBUFllo6fEiTpAt7nnMsfYUtBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5ea4344939d44593eec186dfd477e668e3afdd8d4efd066c2bf1bc1c86f42b6","last_reissued_at":"2026-07-04T17:17:40.092009Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:17:40.092009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0711.4551","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:17:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/V5owX2LK8y5JHB67xSoswfRhElyT/DoT54d4eXFS8JM6j8c9AuXx02TvxP/uW5DI5RSlIVMwM/5881D639hDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:43:42.041230Z"},"content_sha256":"f011a9538e216b13ee8f53db512311520b51d75d22044a22d0ac71bcb8775a2a","schema_version":"1.0","event_id":"sha256:f011a9538e216b13ee8f53db512311520b51d75d22044a22d0ac71bcb8775a2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:WXVEGRETTVCFSPXMDBW72R36M2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universality of large N phase transitions in Wilson loop operators in two and three dimensions","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"H. Neuberger, R. Narayanan","submitted_at":"2007-11-28T18:10:10Z","abstract_excerpt":"The eigenvalue distribution of a Wilson loop operator of fixed shape undergoes a transition under scaling at infinite N. We derive a large N scaling function in a double scaling limit of the average characteristic polynomial associated with the Wilson loop operator in two dimensional QCD. We hypothesize that the transition in three and four dimensional large N QCD are also in the same universality class and provide a numerical test for our hypothesis in three dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.4551","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0711.4551/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:17:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rtl92MjI9VhgKksuNCpUNDLi1hIywbZgAgWKPbLW6X49DhkwVLa5qM3Q8PyJddxdpMdigZflWCYh6hpNhs3ZDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:43:42.041859Z"},"content_sha256":"fe2940de7a79fc2d585c8e99a1f9bf0dda543d7d8f3c6b19bf2737175a8d3334","schema_version":"1.0","event_id":"sha256:fe2940de7a79fc2d585c8e99a1f9bf0dda543d7d8f3c6b19bf2737175a8d3334"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WXVEGRETTVCFSPXMDBW72R36M2/bundle.json","state_url":"https://pith.science/pith/WXVEGRETTVCFSPXMDBW72R36M2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WXVEGRETTVCFSPXMDBW72R36M2/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":"2026-08-11T19:43:42Z","links":{"resolver":"https://pith.science/pith/WXVEGRETTVCFSPXMDBW72R36M2","bundle":"https://pith.science/pith/WXVEGRETTVCFSPXMDBW72R36M2/bundle.json","state":"https://pith.science/pith/WXVEGRETTVCFSPXMDBW72R36M2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WXVEGRETTVCFSPXMDBW72R36M2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:WXVEGRETTVCFSPXMDBW72R36M2","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":"c80b49aed36a97dee451296c292e087aca94d00cb9174fdf66aeda9a5e49b32a","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2007-11-28T18:10:10Z","title_canon_sha256":"68dec486294aa72e87be7493dc5f8af55f8d7135cecb49f99252dec580adab53"},"schema_version":"1.0","source":{"id":"0711.4551","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.4551","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"arxiv_version","alias_value":"0711.4551v3","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.4551","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"pith_short_12","alias_value":"WXVEGRETTVCF","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"pith_short_16","alias_value":"WXVEGRETTVCFSPXM","created_at":"2026-07-04T17:17:40Z"},{"alias_kind":"pith_short_8","alias_value":"WXVEGRET","created_at":"2026-07-04T17:17:40Z"}],"graph_snapshots":[{"event_id":"sha256:fe2940de7a79fc2d585c8e99a1f9bf0dda543d7d8f3c6b19bf2737175a8d3334","target":"graph","created_at":"2026-07-04T17:17:40Z","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/0711.4551/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The eigenvalue distribution of a Wilson loop operator of fixed shape undergoes a transition under scaling at infinite N. We derive a large N scaling function in a double scaling limit of the average characteristic polynomial associated with the Wilson loop operator in two dimensional QCD. We hypothesize that the transition in three and four dimensional large N QCD are also in the same universality class and provide a numerical test for our hypothesis in three dimensions.","authors_text":"H. Neuberger, R. Narayanan","cross_cats":["hep-lat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-11-28T18:10:10Z","title":"Universality of large N phase transitions in Wilson loop operators in two and three dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.4551","kind":"arxiv","version":3},"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:f011a9538e216b13ee8f53db512311520b51d75d22044a22d0ac71bcb8775a2a","target":"record","created_at":"2026-07-04T17:17:40Z","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":"c80b49aed36a97dee451296c292e087aca94d00cb9174fdf66aeda9a5e49b32a","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2007-11-28T18:10:10Z","title_canon_sha256":"68dec486294aa72e87be7493dc5f8af55f8d7135cecb49f99252dec580adab53"},"schema_version":"1.0","source":{"id":"0711.4551","kind":"arxiv","version":3}},"canonical_sha256":"b5ea4344939d44593eec186dfd477e668e3afdd8d4efd066c2bf1bc1c86f42b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5ea4344939d44593eec186dfd477e668e3afdd8d4efd066c2bf1bc1c86f42b6","first_computed_at":"2026-07-04T17:17:40.092009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:17:40.092009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cht5gFhohujGesUmOcqJQXW/eBHBDWBFcat/Wteg1U4qNZLKReq9qeTPM/vCDBUFllo6fEiTpAt7nnMsfYUtBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:17:40.092386Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.4551","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f011a9538e216b13ee8f53db512311520b51d75d22044a22d0ac71bcb8775a2a","sha256:fe2940de7a79fc2d585c8e99a1f9bf0dda543d7d8f3c6b19bf2737175a8d3334"],"state_sha256":"514309154c260762be4015abbb5e2b4f62d6c66a6506ff2c344dc4f348d87341"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"++XN/an1P+/RM1u586oLs0+cIcvnolgbAEkKU9vvEm4MNBnNt64u5oKLXt2VLj9Rq8E41N4x+52nVLqYHl9+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T19:43:42.051600Z","bundle_sha256":"45ec16c0fdd67fcf80edad102efedc7dabda61d8871f5d9ecf0e8ad252f892b7"}}