{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:V5GDOE2KRKKAWGW7NP7KUMRXPD","short_pith_number":"pith:V5GDOE2K","canonical_record":{"source":{"id":"hep-th/0201167","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-01-21T15:38:21Z","cross_cats_sorted":["cond-mat","math-ph","math.MP","nlin.CD"],"title_canon_sha256":"595b94b0f5ac9901341f30b2bc4eb8f05283e0dce3927e29c168616d5ee311c9","abstract_canon_sha256":"9335c2764e9d479789357c8cd6875b4bc628d276ff3480ac6e267a9e9775a4ff"},"schema_version":"1.0"},"canonical_sha256":"af4c37134a8a940b1adf6bfeaa323778e68f23c5c5e38408f9632e06910dc231","source":{"kind":"arxiv","id":"hep-th/0201167","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0201167","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0201167v2","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0201167","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"V5GDOE2KRKKA","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"V5GDOE2KRKKAWGW7","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"V5GDOE2K","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:V5GDOE2KRKKAWGW7NP7KUMRXPD","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0201167","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-01-21T15:38:21Z","cross_cats_sorted":["cond-mat","math-ph","math.MP","nlin.CD"],"title_canon_sha256":"595b94b0f5ac9901341f30b2bc4eb8f05283e0dce3927e29c168616d5ee311c9","abstract_canon_sha256":"9335c2764e9d479789357c8cd6875b4bc628d276ff3480ac6e267a9e9775a4ff"},"schema_version":"1.0"},"canonical_sha256":"af4c37134a8a940b1adf6bfeaa323778e68f23c5c5e38408f9632e06910dc231","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:49.984160Z","signature_b64":"/+PF8Gtt7IO57YNyCrcnU10/cYwZHxR38MASL78QIRyVlZlcuJmsE4ruK3xbrcMD5ambF/vUI5vFe4Hb9EbDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af4c37134a8a940b1adf6bfeaa323778e68f23c5c5e38408f9632e06910dc231","last_reissued_at":"2026-05-18T01:38:49.983588Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:49.983588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0201167","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":"2026-05-18T01:38:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/PQp4HDGmRLmPIA8HSal+I8Eyig/co1mW8QyC4G98kVUxslHg5FAuOv1vJkVA1iPDXO/a1vV1/iSX2nTOHWZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:22:02.075168Z"},"content_sha256":"9d89164660b2fffde611ba848f1d06d6782ab43e05104c7db7d7fd41ca0a58d2","schema_version":"1.0","event_id":"sha256:9d89164660b2fffde611ba848f1d06d6782ab43e05104c7db7d7fd41ca0a58d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:V5GDOE2KRKKAWGW7NP7KUMRXPD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Multicritical Random Matrix Ensembles","license":"","headline":"","cross_cats":["cond-mat","math-ph","math.MP","nlin.CD"],"primary_cat":"hep-th","authors_text":"Romuald A. Janik","submitted_at":"2002-01-21T15:38:21Z","abstract_excerpt":"In this paper we construct a class of random matrix ensembles labelled by a real parameter $\\alpha \\in (0,1)$, whose eigenvalue density near zero behaves like $|x|^\\alpha$. The eigenvalue spacing near zero scales like $1/N^{1/(1+\\alpha)}$ and thus these ensembles are representatives of a {\\em continous} series of new universality classes. We study these ensembles both in the bulk and on the scale of eigenvalue spacing. In the former case we obtain formulas for the eigenvalue density, while in the latter case we obtain approximate expressions for the scaling functions in the microscopic limit u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0201167","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":""},"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":"2026-05-18T01:38:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eip3Q9mm2HZVys510IPQxDBL/OQqUI0Asx6mZvStTkPIGF08PnbHHR3n+Ck6kWt7++7ZknR8ZlFYsQ68wJSkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:22:02.075612Z"},"content_sha256":"15db2029b5ef2c52aae1fde8c0243d2fab87eeedd7075b7d68b4d099d30f7613","schema_version":"1.0","event_id":"sha256:15db2029b5ef2c52aae1fde8c0243d2fab87eeedd7075b7d68b4d099d30f7613"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V5GDOE2KRKKAWGW7NP7KUMRXPD/bundle.json","state_url":"https://pith.science/pith/V5GDOE2KRKKAWGW7NP7KUMRXPD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V5GDOE2KRKKAWGW7NP7KUMRXPD/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":"2026-06-05T12:22:02Z","links":{"resolver":"https://pith.science/pith/V5GDOE2KRKKAWGW7NP7KUMRXPD","bundle":"https://pith.science/pith/V5GDOE2KRKKAWGW7NP7KUMRXPD/bundle.json","state":"https://pith.science/pith/V5GDOE2KRKKAWGW7NP7KUMRXPD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V5GDOE2KRKKAWGW7NP7KUMRXPD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:V5GDOE2KRKKAWGW7NP7KUMRXPD","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":"9335c2764e9d479789357c8cd6875b4bc628d276ff3480ac6e267a9e9775a4ff","cross_cats_sorted":["cond-mat","math-ph","math.MP","nlin.CD"],"license":"","primary_cat":"hep-th","submitted_at":"2002-01-21T15:38:21Z","title_canon_sha256":"595b94b0f5ac9901341f30b2bc4eb8f05283e0dce3927e29c168616d5ee311c9"},"schema_version":"1.0","source":{"id":"hep-th/0201167","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0201167","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0201167v2","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0201167","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"V5GDOE2KRKKA","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"V5GDOE2KRKKAWGW7","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"V5GDOE2K","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:15db2029b5ef2c52aae1fde8c0243d2fab87eeedd7075b7d68b4d099d30f7613","target":"graph","created_at":"2026-05-18T01:38:49Z","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":"In this paper we construct a class of random matrix ensembles labelled by a real parameter $\\alpha \\in (0,1)$, whose eigenvalue density near zero behaves like $|x|^\\alpha$. The eigenvalue spacing near zero scales like $1/N^{1/(1+\\alpha)}$ and thus these ensembles are representatives of a {\\em continous} series of new universality classes. We study these ensembles both in the bulk and on the scale of eigenvalue spacing. In the former case we obtain formulas for the eigenvalue density, while in the latter case we obtain approximate expressions for the scaling functions in the microscopic limit u","authors_text":"Romuald A. Janik","cross_cats":["cond-mat","math-ph","math.MP","nlin.CD"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-01-21T15:38:21Z","title":"New Multicritical Random Matrix Ensembles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0201167","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":"sha256:9d89164660b2fffde611ba848f1d06d6782ab43e05104c7db7d7fd41ca0a58d2","target":"record","created_at":"2026-05-18T01:38:49Z","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":"9335c2764e9d479789357c8cd6875b4bc628d276ff3480ac6e267a9e9775a4ff","cross_cats_sorted":["cond-mat","math-ph","math.MP","nlin.CD"],"license":"","primary_cat":"hep-th","submitted_at":"2002-01-21T15:38:21Z","title_canon_sha256":"595b94b0f5ac9901341f30b2bc4eb8f05283e0dce3927e29c168616d5ee311c9"},"schema_version":"1.0","source":{"id":"hep-th/0201167","kind":"arxiv","version":2}},"canonical_sha256":"af4c37134a8a940b1adf6bfeaa323778e68f23c5c5e38408f9632e06910dc231","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af4c37134a8a940b1adf6bfeaa323778e68f23c5c5e38408f9632e06910dc231","first_computed_at":"2026-05-18T01:38:49.983588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:49.983588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/+PF8Gtt7IO57YNyCrcnU10/cYwZHxR38MASL78QIRyVlZlcuJmsE4ruK3xbrcMD5ambF/vUI5vFe4Hb9EbDAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:49.984160Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0201167","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d89164660b2fffde611ba848f1d06d6782ab43e05104c7db7d7fd41ca0a58d2","sha256:15db2029b5ef2c52aae1fde8c0243d2fab87eeedd7075b7d68b4d099d30f7613"],"state_sha256":"b64eccdecc287fdf89e57cb065184ee3e9d26e05b3f7ee2f3f95a4702d8dcaea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ffQJ+igvNJIZbhRpFYUnsl4aLE3wwp0bgaTsbQwMCrmnAL3raFr3zN8GFpLHxLR8V2XBFN0VyWkg2DWm4Q5lDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T12:22:02.077816Z","bundle_sha256":"021336f2287e7d50f9ce6bff6eeb8fd620b20a3c6c4785662faf30288f11d4d4"}}