{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5NBE2PS66XQ3IDLUOQNO57SRUX","short_pith_number":"pith:5NBE2PS6","canonical_record":{"source":{"id":"1312.1949","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-06T18:18:07Z","cross_cats_sorted":["cond-mat.dis-nn","hep-ph","hep-th"],"title_canon_sha256":"5ebe244268c76249e512f85f9ebbd0555e5a909f8149b32b9fe625e14f64d9b9","abstract_canon_sha256":"5d428cd25bb063120ae01cd952cb79d816f4413ce56a7ec272957b31c7cf4706"},"schema_version":"1.0"},"canonical_sha256":"eb424d3e5ef5e1b40d74741aeefe51a5e153352e9c6039572c7fc7428b13ec5d","source":{"kind":"arxiv","id":"1312.1949","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1949","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1949v1","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1949","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"5NBE2PS66XQ3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5NBE2PS66XQ3IDLU","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5NBE2PS6","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5NBE2PS66XQ3IDLUOQNO57SRUX","target":"record","payload":{"canonical_record":{"source":{"id":"1312.1949","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-06T18:18:07Z","cross_cats_sorted":["cond-mat.dis-nn","hep-ph","hep-th"],"title_canon_sha256":"5ebe244268c76249e512f85f9ebbd0555e5a909f8149b32b9fe625e14f64d9b9","abstract_canon_sha256":"5d428cd25bb063120ae01cd952cb79d816f4413ce56a7ec272957b31c7cf4706"},"schema_version":"1.0"},"canonical_sha256":"eb424d3e5ef5e1b40d74741aeefe51a5e153352e9c6039572c7fc7428b13ec5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:19.367756Z","signature_b64":"UIwzywOS27QyIwfSDm73+k9B3WNTblFnexnh293f8WBmdzuvzPwC5lXZUsdvfcIW2H0oT71T0zKe8UkXCGTYBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb424d3e5ef5e1b40d74741aeefe51a5e153352e9c6039572c7fc7428b13ec5d","last_reissued_at":"2026-05-18T03:05:19.367139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:19.367139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.1949","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":"2026-05-18T03:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MUI9AjJ8+p2kMc2+JEB32DLNPgrb8AnHtNJuT+BYpCi09Tr9xkPEOvDfy1LWLMsl0OvN6mHQ7UByeXwHk2GHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:20:01.835969Z"},"content_sha256":"a82ea6ad2c1deb0fe27a98df90ea40f6b883bdaaa91f427e8fd271e715af4177","schema_version":"1.0","event_id":"sha256:a82ea6ad2c1deb0fe27a98df90ea40f6b883bdaaa91f427e8fd271e715af4177"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5NBE2PS66XQ3IDLUOQNO57SRUX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical behaviour in the QCD Anderson transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Ferenc Pittler (Debrecen, Inst. Nucl. Res.), Matteo Giordano, Tamas G. Kovacs","submitted_at":"2013-12-06T18:18:07Z","abstract_excerpt":"We study the Anderson-type localisation-delocalisation transition found previously in the QCD Dirac spectrum at high temperature. Using high statistics QCD simulations with $N_f=2+1$ flavours of staggered quarks, we discuss how the change in the spectral statistics depends on the volume, the temperature and the lattice spacing, and we speculate on the possible universality of the transition from Poisson to Wigner-Dyson in the spectral statistics. Moreover, we show that the transition is a genuine phase transition: at the mobility edge, separating localised and delocalised modes, quantities cha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1949","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":"2026-05-18T03:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uyOaCm+krjty7OyhiOqsOWqcg+9byMuTmiSAVvdyxoc8GejoLrhpFOwc/MBXrKZLe9SlXAiJTgoMiE77KbSpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:20:01.836685Z"},"content_sha256":"93c8a34dd6cec2ea86b3fc180c527fe977a829f0f5fb36eb7fd67217c37ea9b6","schema_version":"1.0","event_id":"sha256:93c8a34dd6cec2ea86b3fc180c527fe977a829f0f5fb36eb7fd67217c37ea9b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5NBE2PS66XQ3IDLUOQNO57SRUX/bundle.json","state_url":"https://pith.science/pith/5NBE2PS66XQ3IDLUOQNO57SRUX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5NBE2PS66XQ3IDLUOQNO57SRUX/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":"2026-05-25T17:20:01Z","links":{"resolver":"https://pith.science/pith/5NBE2PS66XQ3IDLUOQNO57SRUX","bundle":"https://pith.science/pith/5NBE2PS66XQ3IDLUOQNO57SRUX/bundle.json","state":"https://pith.science/pith/5NBE2PS66XQ3IDLUOQNO57SRUX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5NBE2PS66XQ3IDLUOQNO57SRUX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5NBE2PS66XQ3IDLUOQNO57SRUX","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":"5d428cd25bb063120ae01cd952cb79d816f4413ce56a7ec272957b31c7cf4706","cross_cats_sorted":["cond-mat.dis-nn","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-06T18:18:07Z","title_canon_sha256":"5ebe244268c76249e512f85f9ebbd0555e5a909f8149b32b9fe625e14f64d9b9"},"schema_version":"1.0","source":{"id":"1312.1949","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1949","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1949v1","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1949","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"5NBE2PS66XQ3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5NBE2PS66XQ3IDLU","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5NBE2PS6","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:93c8a34dd6cec2ea86b3fc180c527fe977a829f0f5fb36eb7fd67217c37ea9b6","target":"graph","created_at":"2026-05-18T03:05:19Z","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 study the Anderson-type localisation-delocalisation transition found previously in the QCD Dirac spectrum at high temperature. Using high statistics QCD simulations with $N_f=2+1$ flavours of staggered quarks, we discuss how the change in the spectral statistics depends on the volume, the temperature and the lattice spacing, and we speculate on the possible universality of the transition from Poisson to Wigner-Dyson in the spectral statistics. Moreover, we show that the transition is a genuine phase transition: at the mobility edge, separating localised and delocalised modes, quantities cha","authors_text":"Ferenc Pittler (Debrecen, Inst. Nucl. Res.), Matteo Giordano, Tamas G. Kovacs","cross_cats":["cond-mat.dis-nn","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-06T18:18:07Z","title":"Critical behaviour in the QCD Anderson transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1949","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:a82ea6ad2c1deb0fe27a98df90ea40f6b883bdaaa91f427e8fd271e715af4177","target":"record","created_at":"2026-05-18T03:05:19Z","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":"5d428cd25bb063120ae01cd952cb79d816f4413ce56a7ec272957b31c7cf4706","cross_cats_sorted":["cond-mat.dis-nn","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-06T18:18:07Z","title_canon_sha256":"5ebe244268c76249e512f85f9ebbd0555e5a909f8149b32b9fe625e14f64d9b9"},"schema_version":"1.0","source":{"id":"1312.1949","kind":"arxiv","version":1}},"canonical_sha256":"eb424d3e5ef5e1b40d74741aeefe51a5e153352e9c6039572c7fc7428b13ec5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb424d3e5ef5e1b40d74741aeefe51a5e153352e9c6039572c7fc7428b13ec5d","first_computed_at":"2026-05-18T03:05:19.367139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:19.367139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UIwzywOS27QyIwfSDm73+k9B3WNTblFnexnh293f8WBmdzuvzPwC5lXZUsdvfcIW2H0oT71T0zKe8UkXCGTYBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:19.367756Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.1949","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a82ea6ad2c1deb0fe27a98df90ea40f6b883bdaaa91f427e8fd271e715af4177","sha256:93c8a34dd6cec2ea86b3fc180c527fe977a829f0f5fb36eb7fd67217c37ea9b6"],"state_sha256":"70ebc7891bed6c25445ea6aafed6548f671fb2334a6c24b344424c58b2d80deb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EKkyhay3TqYAv0jwlCkvM57NhuJ1E2SI4EK27IqOvZYRUjP9bo5NClnqiEXZEFDWkspKvkqcMrLRXtVWsIWNDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:20:01.840582Z","bundle_sha256":"15ab8158c8c4679a93bef9eb09c08ed42c879ab874c915cf0867bb4c1ccfc849"}}