{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:JPLWKQ6U62UWYQKAXER6QJPP52","short_pith_number":"pith:JPLWKQ6U","canonical_record":{"source":{"id":"cond-mat/9701133","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-01-19T12:34:50Z","cross_cats_sorted":[],"title_canon_sha256":"d1a5025a6e77357ea6f5043d6f1f544bba443b1aed5fcaccf56ebab49ca56825","abstract_canon_sha256":"29d12a5a76bcb5c86a763b4d6b865e5ae114c40b5d37beee5f0e383d6a83504d"},"schema_version":"1.0"},"canonical_sha256":"4bd76543d4f6a96c4140b923e825efeebf156ba94d8968bf388741d736fd523d","source":{"kind":"arxiv","id":"cond-mat/9701133","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9701133","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9701133v1","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9701133","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"JPLWKQ6U62UW","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"JPLWKQ6U62UWYQKA","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"JPLWKQ6U","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:JPLWKQ6U62UWYQKAXER6QJPP52","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9701133","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-01-19T12:34:50Z","cross_cats_sorted":[],"title_canon_sha256":"d1a5025a6e77357ea6f5043d6f1f544bba443b1aed5fcaccf56ebab49ca56825","abstract_canon_sha256":"29d12a5a76bcb5c86a763b4d6b865e5ae114c40b5d37beee5f0e383d6a83504d"},"schema_version":"1.0"},"canonical_sha256":"4bd76543d4f6a96c4140b923e825efeebf156ba94d8968bf388741d736fd523d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:33.743338Z","signature_b64":"fXf83Fs0Xfz/damiM8LLg+4TX2bxm0xpIwUc4SDZ4W4IuEnVVnf/Se+Anv75zGwj/0oQrMRsoIFdG51LOgD7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bd76543d4f6a96c4140b923e825efeebf156ba94d8968bf388741d736fd523d","last_reissued_at":"2026-05-18T01:39:33.742758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:33.742758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9701133","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":"2026-05-18T01:39:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C+oF/mdwQp076ympcr/pxE4wmNjTzjd5T+tFzHqMLgQ/PFkCyJ9YGIUx8HdtY9IyV6DNL6X9w7PTrxukGz7oDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T07:14:43.302365Z"},"content_sha256":"36606f4ba4b5aa41bf46b207dd2f8450b29be09a1ebe9eaf9b669705413e7d3b","schema_version":"1.0","event_id":"sha256:36606f4ba4b5aa41bf46b207dd2f8450b29be09a1ebe9eaf9b669705413e7d3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:JPLWKQ6U62UWYQKAXER6QJPP52","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite N Fluctuation Formulas for Random Matrices","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"P. J. Forrester (Uni. of Melbourne), T. H. Baker","submitted_at":"1997-01-19T12:34:50Z","abstract_excerpt":"For the Gaussian and Laguerre random matrix ensembles, the probability density function (p.d.f.) for the linear statistic $\\sum_{j=1}^N (x_j - <x>)$ is computed exactly and shown to satisfy a central limit theorem as $N \\to \\infty$. For the circular random matrix ensemble the p.d.f.'s for the linear statistics ${1 \\over 2} \\sum_{j=1}^N (\\theta_j - \\pi)$ and $- \\sum_{j=1}^N \\log 2|\\sin \\theta_j/2|$ are calculated exactly by using a constant term identity from the theory of the Selberg integral, and are also shown to satisfy a central limit theorem as $N \\to \\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9701133","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":"2026-05-18T01:39:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/fOMuv0id0MwrhqXRM+VAtlrH2SJXqsGlM4WeI5z2ELl0sYlOs3oEj2C4xp3HbVS4fgANDSFN3nEoAuV7rmvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T07:14:43.302906Z"},"content_sha256":"e3ec9209fb1cd4503c5778d01b7c2fa39059d6c12f3c2f1d551e28838e26041e","schema_version":"1.0","event_id":"sha256:e3ec9209fb1cd4503c5778d01b7c2fa39059d6c12f3c2f1d551e28838e26041e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JPLWKQ6U62UWYQKAXER6QJPP52/bundle.json","state_url":"https://pith.science/pith/JPLWKQ6U62UWYQKAXER6QJPP52/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JPLWKQ6U62UWYQKAXER6QJPP52/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":"2026-06-05T07:14:43Z","links":{"resolver":"https://pith.science/pith/JPLWKQ6U62UWYQKAXER6QJPP52","bundle":"https://pith.science/pith/JPLWKQ6U62UWYQKAXER6QJPP52/bundle.json","state":"https://pith.science/pith/JPLWKQ6U62UWYQKAXER6QJPP52/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JPLWKQ6U62UWYQKAXER6QJPP52/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:JPLWKQ6U62UWYQKAXER6QJPP52","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":"29d12a5a76bcb5c86a763b4d6b865e5ae114c40b5d37beee5f0e383d6a83504d","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-01-19T12:34:50Z","title_canon_sha256":"d1a5025a6e77357ea6f5043d6f1f544bba443b1aed5fcaccf56ebab49ca56825"},"schema_version":"1.0","source":{"id":"cond-mat/9701133","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9701133","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9701133v1","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9701133","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"JPLWKQ6U62UW","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"JPLWKQ6U62UWYQKA","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"JPLWKQ6U","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:e3ec9209fb1cd4503c5778d01b7c2fa39059d6c12f3c2f1d551e28838e26041e","target":"graph","created_at":"2026-05-18T01:39:33Z","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":"For the Gaussian and Laguerre random matrix ensembles, the probability density function (p.d.f.) for the linear statistic $\\sum_{j=1}^N (x_j - <x>)$ is computed exactly and shown to satisfy a central limit theorem as $N \\to \\infty$. For the circular random matrix ensemble the p.d.f.'s for the linear statistics ${1 \\over 2} \\sum_{j=1}^N (\\theta_j - \\pi)$ and $- \\sum_{j=1}^N \\log 2|\\sin \\theta_j/2|$ are calculated exactly by using a constant term identity from the theory of the Selberg integral, and are also shown to satisfy a central limit theorem as $N \\to \\infty$.","authors_text":"P. J. Forrester (Uni. of Melbourne), T. H. Baker","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-01-19T12:34:50Z","title":"Finite N Fluctuation Formulas for Random Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9701133","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":"sha256:36606f4ba4b5aa41bf46b207dd2f8450b29be09a1ebe9eaf9b669705413e7d3b","target":"record","created_at":"2026-05-18T01:39:33Z","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":"29d12a5a76bcb5c86a763b4d6b865e5ae114c40b5d37beee5f0e383d6a83504d","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-01-19T12:34:50Z","title_canon_sha256":"d1a5025a6e77357ea6f5043d6f1f544bba443b1aed5fcaccf56ebab49ca56825"},"schema_version":"1.0","source":{"id":"cond-mat/9701133","kind":"arxiv","version":1}},"canonical_sha256":"4bd76543d4f6a96c4140b923e825efeebf156ba94d8968bf388741d736fd523d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bd76543d4f6a96c4140b923e825efeebf156ba94d8968bf388741d736fd523d","first_computed_at":"2026-05-18T01:39:33.742758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:33.742758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fXf83Fs0Xfz/damiM8LLg+4TX2bxm0xpIwUc4SDZ4W4IuEnVVnf/Se+Anv75zGwj/0oQrMRsoIFdG51LOgD7Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:33.743338Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9701133","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36606f4ba4b5aa41bf46b207dd2f8450b29be09a1ebe9eaf9b669705413e7d3b","sha256:e3ec9209fb1cd4503c5778d01b7c2fa39059d6c12f3c2f1d551e28838e26041e"],"state_sha256":"380fd654ec8b8832e5583ed74b532aacbc71e6c2a58c280c8f5081e0f714c74e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IrWgZ/abdmOrfBoD0LEWelKcoQnFi9GjXvNf+Cc2cUybgshYQrJb4BooH3Hl57LmkMLfuOLdX8J+6Ss+EKGCDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T07:14:43.305908Z","bundle_sha256":"54de58b90c679a286a3ef92b78ca79842c3f2408e91fea54bda2dd643e8f88c0"}}