{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:D233VD647NANVLGKTDAAJJ773A","short_pith_number":"pith:D233VD64","canonical_record":{"source":{"id":"1312.3286","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-11T19:20:12Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"159c0f45e7b8d1451486772c8e5ff94198648643160e95fd13591bf98f703119","abstract_canon_sha256":"e6ee422466e5e802483862262f4d406f647fee27be9c9b1409d541e44fd039e0"},"schema_version":"1.0"},"canonical_sha256":"1eb7ba8fdcfb40daacca98c004a7ffd826a4928b5422672a08a64fde47853224","source":{"kind":"arxiv","id":"1312.3286","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3286","created_at":"2026-05-18T03:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3286v1","created_at":"2026-05-18T03:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3286","created_at":"2026-05-18T03:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"D233VD647NAN","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D233VD647NANVLGK","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D233VD64","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:D233VD647NANVLGKTDAAJJ773A","target":"record","payload":{"canonical_record":{"source":{"id":"1312.3286","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-11T19:20:12Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"159c0f45e7b8d1451486772c8e5ff94198648643160e95fd13591bf98f703119","abstract_canon_sha256":"e6ee422466e5e802483862262f4d406f647fee27be9c9b1409d541e44fd039e0"},"schema_version":"1.0"},"canonical_sha256":"1eb7ba8fdcfb40daacca98c004a7ffd826a4928b5422672a08a64fde47853224","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:23.703798Z","signature_b64":"Ehvyi1br2gPXvg9NvZZe+PYdfPt4fXjHJNIrn+tEj86cTN7HZPII6xWun+La/8HM8K3LrrDk7Y9hvJMfN6nHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1eb7ba8fdcfb40daacca98c004a7ffd826a4928b5422672a08a64fde47853224","last_reissued_at":"2026-05-18T03:04:23.703304Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:23.703304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.3286","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":"2026-05-18T03:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sBcLzlrHaJkE2U4vXhxW2mFlIabw7oj6jAwBI8gOVKYr8LVl/tCN46KeCGR8tjuyWHgiiP1J2JeYfoj3+cXFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:26:09.513433Z"},"content_sha256":"227e01225135ebff489fec24d0e71d6f9c15353e1bf8edafdd1dd1a507b8a404","schema_version":"1.0","event_id":"sha256:227e01225135ebff489fec24d0e71d6f9c15353e1bf8edafdd1dd1a507b8a404"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:D233VD647NANVLGKTDAAJJ773A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical statistics at the mobility edge of QCD Dirac spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"hep-lat","authors_text":"Ferenc Pittler, Matteo Giordano, Shinsuke M. Nishigaki, Tamas G. Kovacs","submitted_at":"2013-12-11T19:20:12Z","abstract_excerpt":"We examine statistical fluctuation of eigenvalues from the near-edge bulk of QCD Dirac spectra above the critical temperature. For completeness we start by reviewing on the spectral property of Anderson tight-binding Hamiltonians as described by nonlinear sigma models and random matrices, and on the scale-invariant intermediate spectral statistics at the mobility edge. By fitting the level spacing distributions, deformed random matrix ensembles which model multifractality of the wave functions typical of the Anderson localization transition, are shown to provide an excellent effective descript"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3286","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":"2026-05-18T03:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w6lYGvRl6brfgdGKoJgmCOPhO48LJKpLiF5g9t1Z9lOnuRaR/58nDO7CifUo86Zx3GB+zj/M+oaZ+0RdsAuhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:26:09.514103Z"},"content_sha256":"3c5fe061f0a8deb3db7453e85315cd73b881351c5cb51e517fa5e7f54c65e17a","schema_version":"1.0","event_id":"sha256:3c5fe061f0a8deb3db7453e85315cd73b881351c5cb51e517fa5e7f54c65e17a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D233VD647NANVLGKTDAAJJ773A/bundle.json","state_url":"https://pith.science/pith/D233VD647NANVLGKTDAAJJ773A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D233VD647NANVLGKTDAAJJ773A/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":"2026-06-06T12:26:09Z","links":{"resolver":"https://pith.science/pith/D233VD647NANVLGKTDAAJJ773A","bundle":"https://pith.science/pith/D233VD647NANVLGKTDAAJJ773A/bundle.json","state":"https://pith.science/pith/D233VD647NANVLGKTDAAJJ773A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D233VD647NANVLGKTDAAJJ773A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:D233VD647NANVLGKTDAAJJ773A","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":"e6ee422466e5e802483862262f4d406f647fee27be9c9b1409d541e44fd039e0","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-11T19:20:12Z","title_canon_sha256":"159c0f45e7b8d1451486772c8e5ff94198648643160e95fd13591bf98f703119"},"schema_version":"1.0","source":{"id":"1312.3286","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3286","created_at":"2026-05-18T03:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3286v1","created_at":"2026-05-18T03:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3286","created_at":"2026-05-18T03:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"D233VD647NAN","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D233VD647NANVLGK","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D233VD64","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:3c5fe061f0a8deb3db7453e85315cd73b881351c5cb51e517fa5e7f54c65e17a","target":"graph","created_at":"2026-05-18T03:04:23Z","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 examine statistical fluctuation of eigenvalues from the near-edge bulk of QCD Dirac spectra above the critical temperature. For completeness we start by reviewing on the spectral property of Anderson tight-binding Hamiltonians as described by nonlinear sigma models and random matrices, and on the scale-invariant intermediate spectral statistics at the mobility edge. By fitting the level spacing distributions, deformed random matrix ensembles which model multifractality of the wave functions typical of the Anderson localization transition, are shown to provide an excellent effective descript","authors_text":"Ferenc Pittler, Matteo Giordano, Shinsuke M. Nishigaki, Tamas G. Kovacs","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-11T19:20:12Z","title":"Critical statistics at the mobility edge of QCD Dirac spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3286","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":"sha256:227e01225135ebff489fec24d0e71d6f9c15353e1bf8edafdd1dd1a507b8a404","target":"record","created_at":"2026-05-18T03:04:23Z","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":"e6ee422466e5e802483862262f4d406f647fee27be9c9b1409d541e44fd039e0","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-11T19:20:12Z","title_canon_sha256":"159c0f45e7b8d1451486772c8e5ff94198648643160e95fd13591bf98f703119"},"schema_version":"1.0","source":{"id":"1312.3286","kind":"arxiv","version":1}},"canonical_sha256":"1eb7ba8fdcfb40daacca98c004a7ffd826a4928b5422672a08a64fde47853224","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1eb7ba8fdcfb40daacca98c004a7ffd826a4928b5422672a08a64fde47853224","first_computed_at":"2026-05-18T03:04:23.703304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:23.703304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ehvyi1br2gPXvg9NvZZe+PYdfPt4fXjHJNIrn+tEj86cTN7HZPII6xWun+La/8HM8K3LrrDk7Y9hvJMfN6nHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:23.703798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.3286","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:227e01225135ebff489fec24d0e71d6f9c15353e1bf8edafdd1dd1a507b8a404","sha256:3c5fe061f0a8deb3db7453e85315cd73b881351c5cb51e517fa5e7f54c65e17a"],"state_sha256":"0f4c58c8b518f80560dddafeaa59b58462fcc62abfb94ac6c5c8bc94f5b2736b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TfA3ksnijl/mpEVYsyu0El5TFt3GD3loGBGxqyyELegGaFFeTSjQSVpjBPYSteTZNFcjQ7YnfEiuCN7A8r0iAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T12:26:09.517788Z","bundle_sha256":"7d727c98bfbe28570c4af76107f028b664a1702a4eedafe232a2e632c0522568"}}