{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:O3A5MZRVTTUW3IQ5CMP2NCZZKD","short_pith_number":"pith:O3A5MZRV","canonical_record":{"source":{"id":"cond-mat/0003324","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-03-20T16:50:27Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"08c3f3315ef08ac2052b7e8ae46daf8552ac9f32f7ad4bc22d736035e89bdb20","abstract_canon_sha256":"5a84b4f5c8b717b97b6e560947091a3417df8973d351788de1d1c86b4edc4225"},"schema_version":"1.0"},"canonical_sha256":"76c1d666359ce96da21d131fa68b3950f09c56f518288725b2115e2b719d5bec","source":{"kind":"arxiv","id":"cond-mat/0003324","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0003324","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0003324v2","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0003324","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"pith_short_12","alias_value":"O3A5MZRVTTUW","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"pith_short_16","alias_value":"O3A5MZRVTTUW3IQ5","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"pith_short_8","alias_value":"O3A5MZRV","created_at":"2026-07-04T15:20:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:O3A5MZRVTTUW3IQ5CMP2NCZZKD","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0003324","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-03-20T16:50:27Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"08c3f3315ef08ac2052b7e8ae46daf8552ac9f32f7ad4bc22d736035e89bdb20","abstract_canon_sha256":"5a84b4f5c8b717b97b6e560947091a3417df8973d351788de1d1c86b4edc4225"},"schema_version":"1.0"},"canonical_sha256":"76c1d666359ce96da21d131fa68b3950f09c56f518288725b2115e2b719d5bec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:20:42.291899Z","signature_b64":"YUZgYIodUyV+GQGNBfQoN3Yy4wAuDExRCE5yCWpn/pwQ2NgvcHh03uWr4/oklUqVlqA0bR9nc6Cc7SeS0ENsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76c1d666359ce96da21d131fa68b3950f09c56f518288725b2115e2b719d5bec","last_reissued_at":"2026-07-04T15:20:42.291338Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:20:42.291338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0003324","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:20:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FnZzXLpyI2298uTWtWUxxNrl/BoGYzs/HfaFYPRc9dzhGoye3jS8vTOd/Zq+Ou/3bbffmBf2t7vAFivNw5jEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:16:52.722481Z"},"content_sha256":"f4dfeae9add35274a81ca7c71230561081208a8488983fb0f30b236854b54acd","schema_version":"1.0","event_id":"sha256:f4dfeae9add35274a81ca7c71230561081208a8488983fb0f30b236854b54acd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:O3A5MZRVTTUW3IQ5CMP2NCZZKD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Breakdown of universality in multi-cut matrix models","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat","authors_text":"Bertrand Eynard, Francois David, Gabrielle Bonnet","submitted_at":"2000-03-20T16:50:27Z","abstract_excerpt":"We solve the puzzle of the disagreement between orthogonal polynomials methods and mean field calculations for random NxN matrices with a disconnected eigenvalue support. We show that the difference does not stem from a Z2 symmetry breaking, but from the discreteness of the number of eigenvalues. This leads to additional terms (quasiperiodic in N) which must be added to the naive mean field expressions. Our result invalidates the existence of a smooth topological large N expansion and some postulated universality properties of correlators. We derive the large N expansion of the free energy for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0003324","kind":"arxiv","version":2},"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/cond-mat/0003324/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":"2026-07-04T15:20:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R/sKVHtqMrSkCj8AlIGc36o8Byn9KzGPta9oxUYcxGE80xs1kLOjHyfea1WmHnqhF3te2KpeJQcGaDvQI4EYBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:16:52.723120Z"},"content_sha256":"c69f7ef3f5b62dbeefff3b82632626817fd479f7772e4fe9b152930afbf05364","schema_version":"1.0","event_id":"sha256:c69f7ef3f5b62dbeefff3b82632626817fd479f7772e4fe9b152930afbf05364"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O3A5MZRVTTUW3IQ5CMP2NCZZKD/bundle.json","state_url":"https://pith.science/pith/O3A5MZRVTTUW3IQ5CMP2NCZZKD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O3A5MZRVTTUW3IQ5CMP2NCZZKD/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":"2026-08-10T06:16:52Z","links":{"resolver":"https://pith.science/pith/O3A5MZRVTTUW3IQ5CMP2NCZZKD","bundle":"https://pith.science/pith/O3A5MZRVTTUW3IQ5CMP2NCZZKD/bundle.json","state":"https://pith.science/pith/O3A5MZRVTTUW3IQ5CMP2NCZZKD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O3A5MZRVTTUW3IQ5CMP2NCZZKD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:O3A5MZRVTTUW3IQ5CMP2NCZZKD","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":"5a84b4f5c8b717b97b6e560947091a3417df8973d351788de1d1c86b4edc4225","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"cond-mat","submitted_at":"2000-03-20T16:50:27Z","title_canon_sha256":"08c3f3315ef08ac2052b7e8ae46daf8552ac9f32f7ad4bc22d736035e89bdb20"},"schema_version":"1.0","source":{"id":"cond-mat/0003324","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0003324","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0003324v2","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0003324","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"pith_short_12","alias_value":"O3A5MZRVTTUW","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"pith_short_16","alias_value":"O3A5MZRVTTUW3IQ5","created_at":"2026-07-04T15:20:42Z"},{"alias_kind":"pith_short_8","alias_value":"O3A5MZRV","created_at":"2026-07-04T15:20:42Z"}],"graph_snapshots":[{"event_id":"sha256:c69f7ef3f5b62dbeefff3b82632626817fd479f7772e4fe9b152930afbf05364","target":"graph","created_at":"2026-07-04T15:20:42Z","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/cond-mat/0003324/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We solve the puzzle of the disagreement between orthogonal polynomials methods and mean field calculations for random NxN matrices with a disconnected eigenvalue support. We show that the difference does not stem from a Z2 symmetry breaking, but from the discreteness of the number of eigenvalues. This leads to additional terms (quasiperiodic in N) which must be added to the naive mean field expressions. Our result invalidates the existence of a smooth topological large N expansion and some postulated universality properties of correlators. We derive the large N expansion of the free energy for","authors_text":"Bertrand Eynard, Francois David, Gabrielle Bonnet","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2000-03-20T16:50:27Z","title":"Breakdown of universality in multi-cut matrix models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0003324","kind":"arxiv","version":2},"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:f4dfeae9add35274a81ca7c71230561081208a8488983fb0f30b236854b54acd","target":"record","created_at":"2026-07-04T15:20:42Z","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":"5a84b4f5c8b717b97b6e560947091a3417df8973d351788de1d1c86b4edc4225","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"cond-mat","submitted_at":"2000-03-20T16:50:27Z","title_canon_sha256":"08c3f3315ef08ac2052b7e8ae46daf8552ac9f32f7ad4bc22d736035e89bdb20"},"schema_version":"1.0","source":{"id":"cond-mat/0003324","kind":"arxiv","version":2}},"canonical_sha256":"76c1d666359ce96da21d131fa68b3950f09c56f518288725b2115e2b719d5bec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76c1d666359ce96da21d131fa68b3950f09c56f518288725b2115e2b719d5bec","first_computed_at":"2026-07-04T15:20:42.291338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:42.291338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YUZgYIodUyV+GQGNBfQoN3Yy4wAuDExRCE5yCWpn/pwQ2NgvcHh03uWr4/oklUqVlqA0bR9nc6Cc7SeS0ENsBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:42.291899Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0003324","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4dfeae9add35274a81ca7c71230561081208a8488983fb0f30b236854b54acd","sha256:c69f7ef3f5b62dbeefff3b82632626817fd479f7772e4fe9b152930afbf05364"],"state_sha256":"db2d28c245fe2ee62a480d5d845a2fe1bd28cf350e4947861ce04bf9ae78ebff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UWcLGwIpXEXG5lajWnEVu7UYmhAJwLhNf6Bt4T27nHOe8Ol4BA1mBJ0rdoYF3XaYF5eZMSx6ZllbixQ43VQdCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T06:16:52.729063Z","bundle_sha256":"8357d460b8ef54e4063ef4074bbad7b0b7430293f3ccc67194487cf5c7d68cee"}}