{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5J5ZHH6HEUYTA7A2CD3ZKCGQKS","short_pith_number":"pith:5J5ZHH6H","canonical_record":{"source":{"id":"1405.0433","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-05-02T15:42:12Z","cross_cats_sorted":["cond-mat.dis-nn","hep-th","math-ph","math.MP"],"title_canon_sha256":"3f5f768b7f02d2b19b8678c3939af120a9cf78b668e6bdd72e5841ee9d9cc87a","abstract_canon_sha256":"8ab29ea6e6bb751e8887f9d04b253cc2317e9593b0282751c49aad497351d706"},"schema_version":"1.0"},"canonical_sha256":"ea7b939fc72531307c1a10f79508d054b50c0d44cb761f6b4e4470b344a07232","source":{"kind":"arxiv","id":"1405.0433","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0433","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0433v1","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0433","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"pith_short_12","alias_value":"5J5ZHH6HEUYT","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5J5ZHH6HEUYTA7A2","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5J5ZHH6H","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5J5ZHH6HEUYTA7A2CD3ZKCGQKS","target":"record","payload":{"canonical_record":{"source":{"id":"1405.0433","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-05-02T15:42:12Z","cross_cats_sorted":["cond-mat.dis-nn","hep-th","math-ph","math.MP"],"title_canon_sha256":"3f5f768b7f02d2b19b8678c3939af120a9cf78b668e6bdd72e5841ee9d9cc87a","abstract_canon_sha256":"8ab29ea6e6bb751e8887f9d04b253cc2317e9593b0282751c49aad497351d706"},"schema_version":"1.0"},"canonical_sha256":"ea7b939fc72531307c1a10f79508d054b50c0d44cb761f6b4e4470b344a07232","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:38.923138Z","signature_b64":"Laf7hgiYbEKlgkRaHkIePZvyVRo/19/iT38WX/WTHOzPS+E/sDHqETIhwy4f/Zz1dYRzBKbgqs7i3HpW/Yn1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea7b939fc72531307c1a10f79508d054b50c0d44cb761f6b4e4470b344a07232","last_reissued_at":"2026-05-18T02:39:38.922665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:38.922665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.0433","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":"2026-05-18T02:39:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"URuhTF2wWe5oROZq/LWcorAUxuiv2gzZpJW5Sh0qKsOJs0RUAqey/hN4Cvh2yNaqomhXrR93rjli+znXZbbrCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:14:46.265934Z"},"content_sha256":"510f3a48b86cdd34b79541c4071fda19940b60c9c0aaed17e587466e117ec9c9","schema_version":"1.0","event_id":"sha256:510f3a48b86cdd34b79541c4071fda19940b60c9c0aaed17e587466e117ec9c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5J5ZHH6HEUYTA7A2CD3ZKCGQKS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dirac Spectra of 2-dimensional QCD-like theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","hep-th","math-ph","math.MP"],"primary_cat":"hep-lat","authors_text":"Jacobus J. M. Verbaarschot, Mario Kieburg, Savvas Zafeiropoulos","submitted_at":"2014-05-02T15:42:12Z","abstract_excerpt":"We analyze Dirac spectra of two-dimensional QCD like theories both in the continuum and on the lattice and classify them according to random matrix theories sharing the same global symmetries. The classification is different from QCD in four dimensions because the anti-unitary symmetries do not commute with $\\gamma_5$. Therefore in a chiral basis, the number of degrees of freedom per matrix element are not given by the Dyson index. Our predictions are confirmed by Dirac spectra from quenched lattice simulations for QCD with two or three colors with quarks in the fundamental representation as w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0433","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":"2026-05-18T02:39:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QeAVPiBorbokhuqnbJ0PYqD1G+XjvERUzdiavgmPGweKeSuF6YX6qwEjYBWBPZTxeHPOt1xH7IW0BCxRv7DnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:14:46.266602Z"},"content_sha256":"dbac20acf32917f5077b43ac5398181fbe8a3a319e7dd6c3aa38ff0351e13949","schema_version":"1.0","event_id":"sha256:dbac20acf32917f5077b43ac5398181fbe8a3a319e7dd6c3aa38ff0351e13949"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5J5ZHH6HEUYTA7A2CD3ZKCGQKS/bundle.json","state_url":"https://pith.science/pith/5J5ZHH6HEUYTA7A2CD3ZKCGQKS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5J5ZHH6HEUYTA7A2CD3ZKCGQKS/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":"2026-05-24T00:14:46Z","links":{"resolver":"https://pith.science/pith/5J5ZHH6HEUYTA7A2CD3ZKCGQKS","bundle":"https://pith.science/pith/5J5ZHH6HEUYTA7A2CD3ZKCGQKS/bundle.json","state":"https://pith.science/pith/5J5ZHH6HEUYTA7A2CD3ZKCGQKS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5J5ZHH6HEUYTA7A2CD3ZKCGQKS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5J5ZHH6HEUYTA7A2CD3ZKCGQKS","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":"8ab29ea6e6bb751e8887f9d04b253cc2317e9593b0282751c49aad497351d706","cross_cats_sorted":["cond-mat.dis-nn","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-05-02T15:42:12Z","title_canon_sha256":"3f5f768b7f02d2b19b8678c3939af120a9cf78b668e6bdd72e5841ee9d9cc87a"},"schema_version":"1.0","source":{"id":"1405.0433","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0433","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0433v1","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0433","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"pith_short_12","alias_value":"5J5ZHH6HEUYT","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5J5ZHH6HEUYTA7A2","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5J5ZHH6H","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:dbac20acf32917f5077b43ac5398181fbe8a3a319e7dd6c3aa38ff0351e13949","target":"graph","created_at":"2026-05-18T02:39:38Z","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 analyze Dirac spectra of two-dimensional QCD like theories both in the continuum and on the lattice and classify them according to random matrix theories sharing the same global symmetries. The classification is different from QCD in four dimensions because the anti-unitary symmetries do not commute with $\\gamma_5$. Therefore in a chiral basis, the number of degrees of freedom per matrix element are not given by the Dyson index. Our predictions are confirmed by Dirac spectra from quenched lattice simulations for QCD with two or three colors with quarks in the fundamental representation as w","authors_text":"Jacobus J. M. Verbaarschot, Mario Kieburg, Savvas Zafeiropoulos","cross_cats":["cond-mat.dis-nn","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-05-02T15:42:12Z","title":"Dirac Spectra of 2-dimensional QCD-like theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0433","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":"sha256:510f3a48b86cdd34b79541c4071fda19940b60c9c0aaed17e587466e117ec9c9","target":"record","created_at":"2026-05-18T02:39:38Z","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":"8ab29ea6e6bb751e8887f9d04b253cc2317e9593b0282751c49aad497351d706","cross_cats_sorted":["cond-mat.dis-nn","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-05-02T15:42:12Z","title_canon_sha256":"3f5f768b7f02d2b19b8678c3939af120a9cf78b668e6bdd72e5841ee9d9cc87a"},"schema_version":"1.0","source":{"id":"1405.0433","kind":"arxiv","version":1}},"canonical_sha256":"ea7b939fc72531307c1a10f79508d054b50c0d44cb761f6b4e4470b344a07232","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea7b939fc72531307c1a10f79508d054b50c0d44cb761f6b4e4470b344a07232","first_computed_at":"2026-05-18T02:39:38.922665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:38.922665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Laf7hgiYbEKlgkRaHkIePZvyVRo/19/iT38WX/WTHOzPS+E/sDHqETIhwy4f/Zz1dYRzBKbgqs7i3HpW/Yn1Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:38.923138Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0433","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:510f3a48b86cdd34b79541c4071fda19940b60c9c0aaed17e587466e117ec9c9","sha256:dbac20acf32917f5077b43ac5398181fbe8a3a319e7dd6c3aa38ff0351e13949"],"state_sha256":"edce0f71095911b06b21064862fd857947b5c435cee895fa1d71da106b191860"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YkDrr5TdDLgT3RdZcjHs8V2D5XZ17jE4fex4s6IyYUPJNtLnRhQVvQvB9WSaEF7T83HDB9TCgnIp7EorTeGcDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T00:14:46.273160Z","bundle_sha256":"6fbae3491e37970c0c840c1428c8c7b7aad9e0f103fa74a3173b8c68e6700b96"}}