{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QIQ3DAJMQRESGTHJY4RGDGB2DQ","short_pith_number":"pith:QIQ3DAJM","canonical_record":{"source":{"id":"1005.5058","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-27T13:11:01Z","cross_cats_sorted":[],"title_canon_sha256":"dc4c9ec202be43c1d6537a57016ebd35f6aa733733e38d66ff0af34edc9418e6","abstract_canon_sha256":"a70c29c8f5abba1209310bad1453f5ef8dd49163fcd60097a862b98cd253da5c"},"schema_version":"1.0"},"canonical_sha256":"8221b1812c8449234ce9c72261983a1c0a5e1ec7ddf48643b5a7609bb196a2ad","source":{"kind":"arxiv","id":"1005.5058","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5058","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5058v3","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5058","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"QIQ3DAJMQRES","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QIQ3DAJMQRESGTHJ","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QIQ3DAJM","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QIQ3DAJMQRESGTHJY4RGDGB2DQ","target":"record","payload":{"canonical_record":{"source":{"id":"1005.5058","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-27T13:11:01Z","cross_cats_sorted":[],"title_canon_sha256":"dc4c9ec202be43c1d6537a57016ebd35f6aa733733e38d66ff0af34edc9418e6","abstract_canon_sha256":"a70c29c8f5abba1209310bad1453f5ef8dd49163fcd60097a862b98cd253da5c"},"schema_version":"1.0"},"canonical_sha256":"8221b1812c8449234ce9c72261983a1c0a5e1ec7ddf48643b5a7609bb196a2ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:07.250267Z","signature_b64":"0TmgBbwvKBgusJMUVHqQrCqTDEzAd030UsWrjAoW/N+XFSBAI6kZ7wB+ucKL140tw91wciCrlPNLI9LyuRHdBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8221b1812c8449234ce9c72261983a1c0a5e1ec7ddf48643b5a7609bb196a2ad","last_reissued_at":"2026-05-18T02:07:07.249376Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:07.249376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.5058","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":"2026-05-18T02:07:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A6SFyvVMC7+ZQPPpov6ncjftbqye1qBn0QsK1HEOKOQeH3YkIZrpad8C8eGWhvd+vtWUebvUFAtQBJnAUdu3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:34:41.468992Z"},"content_sha256":"8051f92f259982faa3cbd70afe5b55ca800aae563787e986cc69250ef5beee97","schema_version":"1.0","event_id":"sha256:8051f92f259982faa3cbd70afe5b55ca800aae563787e986cc69250ef5beee97"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QIQ3DAJMQRESGTHJY4RGDGB2DQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large Deviations of the Smallest Eigenvalue of the Wishart-Laguerre Ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Eytan Katzav, Isaac P\\'erez Castillo","submitted_at":"2010-05-27T13:11:01Z","abstract_excerpt":"We consider the large deviations of the smallest eigenvalue of the Wishart-Laguerre Ensemble. Using the Coulomb gas picture we obtain rate functions for the large fluctuations to the left and the right of the hard edge. Our findings are compared with known exact results for $\\beta=1$ finding good agreement. We also consider the case of almost square matrices finding new universal rate functions describing large fluctuations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5058","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":""},"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":"2026-05-18T02:07:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cyi5uez7Egk1LMU/1tNOQCgzxKdvod8HRkwmKnrr4xUGQZJfYad0tn1YC9WfZGWYzgoUG2iLYX7V+4S3V4cgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:34:41.469400Z"},"content_sha256":"371c11b8d55f6efddfc66b35bde03efe1ca3a6d21072236a820c34997d53dd4f","schema_version":"1.0","event_id":"sha256:371c11b8d55f6efddfc66b35bde03efe1ca3a6d21072236a820c34997d53dd4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QIQ3DAJMQRESGTHJY4RGDGB2DQ/bundle.json","state_url":"https://pith.science/pith/QIQ3DAJMQRESGTHJY4RGDGB2DQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QIQ3DAJMQRESGTHJY4RGDGB2DQ/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":"2026-06-06T18:34:41Z","links":{"resolver":"https://pith.science/pith/QIQ3DAJMQRESGTHJY4RGDGB2DQ","bundle":"https://pith.science/pith/QIQ3DAJMQRESGTHJY4RGDGB2DQ/bundle.json","state":"https://pith.science/pith/QIQ3DAJMQRESGTHJY4RGDGB2DQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QIQ3DAJMQRESGTHJY4RGDGB2DQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QIQ3DAJMQRESGTHJY4RGDGB2DQ","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":"a70c29c8f5abba1209310bad1453f5ef8dd49163fcd60097a862b98cd253da5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-27T13:11:01Z","title_canon_sha256":"dc4c9ec202be43c1d6537a57016ebd35f6aa733733e38d66ff0af34edc9418e6"},"schema_version":"1.0","source":{"id":"1005.5058","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5058","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5058v3","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5058","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"QIQ3DAJMQRES","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QIQ3DAJMQRESGTHJ","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QIQ3DAJM","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:371c11b8d55f6efddfc66b35bde03efe1ca3a6d21072236a820c34997d53dd4f","target":"graph","created_at":"2026-05-18T02:07:07Z","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 consider the large deviations of the smallest eigenvalue of the Wishart-Laguerre Ensemble. Using the Coulomb gas picture we obtain rate functions for the large fluctuations to the left and the right of the hard edge. Our findings are compared with known exact results for $\\beta=1$ finding good agreement. We also consider the case of almost square matrices finding new universal rate functions describing large fluctuations.","authors_text":"Eytan Katzav, Isaac P\\'erez Castillo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-27T13:11:01Z","title":"Large Deviations of the Smallest Eigenvalue of the Wishart-Laguerre Ensemble"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5058","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":"sha256:8051f92f259982faa3cbd70afe5b55ca800aae563787e986cc69250ef5beee97","target":"record","created_at":"2026-05-18T02:07:07Z","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":"a70c29c8f5abba1209310bad1453f5ef8dd49163fcd60097a862b98cd253da5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-27T13:11:01Z","title_canon_sha256":"dc4c9ec202be43c1d6537a57016ebd35f6aa733733e38d66ff0af34edc9418e6"},"schema_version":"1.0","source":{"id":"1005.5058","kind":"arxiv","version":3}},"canonical_sha256":"8221b1812c8449234ce9c72261983a1c0a5e1ec7ddf48643b5a7609bb196a2ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8221b1812c8449234ce9c72261983a1c0a5e1ec7ddf48643b5a7609bb196a2ad","first_computed_at":"2026-05-18T02:07:07.249376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:07.249376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0TmgBbwvKBgusJMUVHqQrCqTDEzAd030UsWrjAoW/N+XFSBAI6kZ7wB+ucKL140tw91wciCrlPNLI9LyuRHdBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:07.250267Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.5058","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8051f92f259982faa3cbd70afe5b55ca800aae563787e986cc69250ef5beee97","sha256:371c11b8d55f6efddfc66b35bde03efe1ca3a6d21072236a820c34997d53dd4f"],"state_sha256":"ef9e0791aa07a25e43f63d145f5106845decfa290294687033c6e85ca60020d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MzKx724kG+OZo7en2uL73cIYKl50hyfsonjysqwfos4SImKM4aK0A0kg0J9TFcJVfoUAiH8orR0pwo2vV1ClCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:34:41.471285Z","bundle_sha256":"6ec694a9aa67ae9e6b61a1b9360a33ec1c7d0c7c91f21398135a7e29dca94294"}}