{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CPN72T66IPISMOYHIP6NPVXTKL","short_pith_number":"pith:CPN72T66","canonical_record":{"source":{"id":"1505.01784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-05-07T17:28:49Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"e64910bb458d06cde04d02842a3d368858861ae782fee1671d4dd6ed9317a16e","abstract_canon_sha256":"237d0ff4365df1f7126bd858c96ac657f0a0f44adb3a2b5bfe8d39adda40f5ef"},"schema_version":"1.0"},"canonical_sha256":"13dbfd4fde43d1263b0743fcd7d6f352f3dc1aafa582817e6d4bd63f913d460e","source":{"kind":"arxiv","id":"1505.01784","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01784","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01784v2","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01784","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"pith_short_12","alias_value":"CPN72T66IPIS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CPN72T66IPISMOYH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CPN72T66","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CPN72T66IPISMOYHIP6NPVXTKL","target":"record","payload":{"canonical_record":{"source":{"id":"1505.01784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-05-07T17:28:49Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"e64910bb458d06cde04d02842a3d368858861ae782fee1671d4dd6ed9317a16e","abstract_canon_sha256":"237d0ff4365df1f7126bd858c96ac657f0a0f44adb3a2b5bfe8d39adda40f5ef"},"schema_version":"1.0"},"canonical_sha256":"13dbfd4fde43d1263b0743fcd7d6f352f3dc1aafa582817e6d4bd63f913d460e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:49.829157Z","signature_b64":"7t2pPrUvWeV4FdSoXkiuO3poQ+YqpaIf0peR8BH6XVJHHMEvvdmZWsrbVzWgfeOkK4pNKHTZzKpLmEnOKxJ1BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13dbfd4fde43d1263b0743fcd7d6f352f3dc1aafa582817e6d4bd63f913d460e","last_reissued_at":"2026-05-18T01:34:49.828718Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:49.828718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.01784","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":"2026-05-18T01:34:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h9iRi8DzHMg/HY9jXjGtiW/RJCmJ/KrTsBLKYo9TpWlsoOGYCJ69zcwk/oXTMgLPvAJeiLNeWU72xasSjqaABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T21:29:15.007197Z"},"content_sha256":"9d775c12445431ff489bed4355cc11b6f82db27e3fd56b01b594e951c5bbc684","schema_version":"1.0","event_id":"sha256:9d775c12445431ff489bed4355cc11b6f82db27e3fd56b01b594e951c5bbc684"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CPN72T66IPISMOYHIP6NPVXTKL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dirac Spectrum of the Wilson Dirac Operator for QCD with Two Colors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"hep-lat","authors_text":"Jacobus J. M. Verbaarschot, Mario Kieburg, Savvas Zafeiropoulos","submitted_at":"2015-05-07T17:28:49Z","abstract_excerpt":"We study the lattice artefacts of the Wilson Dirac operator for QCD with two colors and fermions in the fundamental representation from the viewpoint of chiral perturbation theory. These effects are studied with the help of the following spectral observables: the level density of the Hermitian Wilson Dirac operator, the distribution of chirality over the real eigenvalues, and the chiral condensate for the quenched as well as for the unquenched theory. We provide analytical expressions for all these quantities. Moreover we derive constraints for the level density of the real eigenvalues of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01784","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":"2026-05-18T01:34:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PJzOu+ofPAfJNizKyPwiLlMGeMKshrzY8rlDbYXUO47akcBi8nvmCojDiws3waTcvXUsPSCokzgaBEU3CRGLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T21:29:15.007929Z"},"content_sha256":"d9dfecbac3e43bc71868cfcf0e31258e640cda298190bb7e4dfa1642dbb54331","schema_version":"1.0","event_id":"sha256:d9dfecbac3e43bc71868cfcf0e31258e640cda298190bb7e4dfa1642dbb54331"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CPN72T66IPISMOYHIP6NPVXTKL/bundle.json","state_url":"https://pith.science/pith/CPN72T66IPISMOYHIP6NPVXTKL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CPN72T66IPISMOYHIP6NPVXTKL/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":"2026-05-23T21:29:15Z","links":{"resolver":"https://pith.science/pith/CPN72T66IPISMOYHIP6NPVXTKL","bundle":"https://pith.science/pith/CPN72T66IPISMOYHIP6NPVXTKL/bundle.json","state":"https://pith.science/pith/CPN72T66IPISMOYHIP6NPVXTKL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CPN72T66IPISMOYHIP6NPVXTKL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CPN72T66IPISMOYHIP6NPVXTKL","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":"237d0ff4365df1f7126bd858c96ac657f0a0f44adb3a2b5bfe8d39adda40f5ef","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-05-07T17:28:49Z","title_canon_sha256":"e64910bb458d06cde04d02842a3d368858861ae782fee1671d4dd6ed9317a16e"},"schema_version":"1.0","source":{"id":"1505.01784","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01784","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01784v2","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01784","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"pith_short_12","alias_value":"CPN72T66IPIS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CPN72T66IPISMOYH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CPN72T66","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:d9dfecbac3e43bc71868cfcf0e31258e640cda298190bb7e4dfa1642dbb54331","target":"graph","created_at":"2026-05-18T01:34:49Z","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":"We study the lattice artefacts of the Wilson Dirac operator for QCD with two colors and fermions in the fundamental representation from the viewpoint of chiral perturbation theory. These effects are studied with the help of the following spectral observables: the level density of the Hermitian Wilson Dirac operator, the distribution of chirality over the real eigenvalues, and the chiral condensate for the quenched as well as for the unquenched theory. We provide analytical expressions for all these quantities. Moreover we derive constraints for the level density of the real eigenvalues of the ","authors_text":"Jacobus J. M. Verbaarschot, Mario Kieburg, Savvas Zafeiropoulos","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-05-07T17:28:49Z","title":"Dirac Spectrum of the Wilson Dirac Operator for QCD with Two Colors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01784","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":"sha256:9d775c12445431ff489bed4355cc11b6f82db27e3fd56b01b594e951c5bbc684","target":"record","created_at":"2026-05-18T01:34:49Z","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":"237d0ff4365df1f7126bd858c96ac657f0a0f44adb3a2b5bfe8d39adda40f5ef","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-05-07T17:28:49Z","title_canon_sha256":"e64910bb458d06cde04d02842a3d368858861ae782fee1671d4dd6ed9317a16e"},"schema_version":"1.0","source":{"id":"1505.01784","kind":"arxiv","version":2}},"canonical_sha256":"13dbfd4fde43d1263b0743fcd7d6f352f3dc1aafa582817e6d4bd63f913d460e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13dbfd4fde43d1263b0743fcd7d6f352f3dc1aafa582817e6d4bd63f913d460e","first_computed_at":"2026-05-18T01:34:49.828718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:49.828718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7t2pPrUvWeV4FdSoXkiuO3poQ+YqpaIf0peR8BH6XVJHHMEvvdmZWsrbVzWgfeOkK4pNKHTZzKpLmEnOKxJ1BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:49.829157Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.01784","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d775c12445431ff489bed4355cc11b6f82db27e3fd56b01b594e951c5bbc684","sha256:d9dfecbac3e43bc71868cfcf0e31258e640cda298190bb7e4dfa1642dbb54331"],"state_sha256":"3ce29a8857a49a23caa816e6c23460599a6d15394271c2d86fd65da121c954cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kLpisRzHPq+c1iKJkEcbsxdVylIdYVxD/UHcpA6LcwPCQh/KsW/TmrqMdddxqVrh+cS4fsZngCLAnCtQ8SckBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T21:29:15.011530Z","bundle_sha256":"8df1b870e9b06764e570cba99bd871305ba5fd864001b79b744ffdb9e424512d"}}