{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:NP43QZTPK7N5ZQW2TDHWOWX6ZK","short_pith_number":"pith:NP43QZTP","canonical_record":{"source":{"id":"0808.1982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2008-08-14T12:14:48Z","cross_cats_sorted":[],"title_canon_sha256":"475b95d4513869ed47a165a26c59e33719c2c7b2d4c1bd65edbe393d134d5d6f","abstract_canon_sha256":"cab588885ba24c6885ec2a5f67a74d85722f95ff45283f92ae293d7d34efebf2"},"schema_version":"1.0"},"canonical_sha256":"6bf9b8666f57dbdcc2da98cf675afecaa4d5cc7764f994de7ab3cd6691792f7f","source":{"kind":"arxiv","id":"0808.1982","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.1982","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"arxiv_version","alias_value":"0808.1982v1","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1982","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"pith_short_12","alias_value":"NP43QZTPK7N5","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"NP43QZTPK7N5ZQW2","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"NP43QZTP","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:NP43QZTPK7N5ZQW2TDHWOWX6ZK","target":"record","payload":{"canonical_record":{"source":{"id":"0808.1982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2008-08-14T12:14:48Z","cross_cats_sorted":[],"title_canon_sha256":"475b95d4513869ed47a165a26c59e33719c2c7b2d4c1bd65edbe393d134d5d6f","abstract_canon_sha256":"cab588885ba24c6885ec2a5f67a74d85722f95ff45283f92ae293d7d34efebf2"},"schema_version":"1.0"},"canonical_sha256":"6bf9b8666f57dbdcc2da98cf675afecaa4d5cc7764f994de7ab3cd6691792f7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:06.052223Z","signature_b64":"RcXJmcu946XZuXED4ja8ZxwmvVN8VqOdgE7lV6GdjuI9eZh382cId6gKjrwHqq4SYWG3GrbvpXkYOwUuY5BYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bf9b8666f57dbdcc2da98cf675afecaa4d5cc7764f994de7ab3cd6691792f7f","last_reissued_at":"2026-05-18T00:37:06.051620Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:06.051620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0808.1982","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":"2026-05-18T00:37:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TKMaUjERpCHj5VxK/dMXHz5atr+4grjh1YPyKm8rgiu+9sZwu30/3LQjVqkaXsAle9alrxHF8qa5AODsn4T3Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:32:57.647575Z"},"content_sha256":"6f83eeef37455c73f277461df2345c6a31dc54a259ee910d7c12d57456e36184","schema_version":"1.0","event_id":"sha256:6f83eeef37455c73f277461df2345c6a31dc54a259ee910d7c12d57456e36184"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:NP43QZTPK7N5ZQW2TDHWOWX6ZK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical QCD with non-positive measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"J.C. Osborn, J.J.M. Verbaarschot, K. Splittorff","submitted_at":"2008-08-14T12:14:48Z","abstract_excerpt":"In this talk we discuss the microscopic limit of QCD at nonzero chemical potential. In this domain, where the QCD partition function is under complete analytical control, we uncover an entirely new link between the spectral density of the Dirac operator and the chiral condensate: violent complex oscillations on the microscopic scale give rise to the discontinuity of the chiral condensate at zero quark mass. We first establish this relation exactly within a random matrix framework and then analyze the importance of the individual modes by Fourier analysis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1982","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":"2026-05-18T00:37:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KOiIFaVCw/F9OWoCQkthIw06jMSqrvsTxJLdZMqCuqAzR1p7oDzDW5Zu8Xa0RMWVkT/yKL7eQyCI3cKM28tdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:32:57.647916Z"},"content_sha256":"2905cb339c7147ce69ab76b7d7efc928e8d756a76a46b88eda5595dc989d7572","schema_version":"1.0","event_id":"sha256:2905cb339c7147ce69ab76b7d7efc928e8d756a76a46b88eda5595dc989d7572"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NP43QZTPK7N5ZQW2TDHWOWX6ZK/bundle.json","state_url":"https://pith.science/pith/NP43QZTPK7N5ZQW2TDHWOWX6ZK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NP43QZTPK7N5ZQW2TDHWOWX6ZK/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":"2026-06-03T21:32:57Z","links":{"resolver":"https://pith.science/pith/NP43QZTPK7N5ZQW2TDHWOWX6ZK","bundle":"https://pith.science/pith/NP43QZTPK7N5ZQW2TDHWOWX6ZK/bundle.json","state":"https://pith.science/pith/NP43QZTPK7N5ZQW2TDHWOWX6ZK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NP43QZTPK7N5ZQW2TDHWOWX6ZK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:NP43QZTPK7N5ZQW2TDHWOWX6ZK","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":"cab588885ba24c6885ec2a5f67a74d85722f95ff45283f92ae293d7d34efebf2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2008-08-14T12:14:48Z","title_canon_sha256":"475b95d4513869ed47a165a26c59e33719c2c7b2d4c1bd65edbe393d134d5d6f"},"schema_version":"1.0","source":{"id":"0808.1982","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.1982","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"arxiv_version","alias_value":"0808.1982v1","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1982","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"pith_short_12","alias_value":"NP43QZTPK7N5","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"NP43QZTPK7N5ZQW2","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"NP43QZTP","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:2905cb339c7147ce69ab76b7d7efc928e8d756a76a46b88eda5595dc989d7572","target":"graph","created_at":"2026-05-18T00:37:06Z","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 talk we discuss the microscopic limit of QCD at nonzero chemical potential. In this domain, where the QCD partition function is under complete analytical control, we uncover an entirely new link between the spectral density of the Dirac operator and the chiral condensate: violent complex oscillations on the microscopic scale give rise to the discontinuity of the chiral condensate at zero quark mass. We first establish this relation exactly within a random matrix framework and then analyze the importance of the individual modes by Fourier analysis.","authors_text":"J.C. Osborn, J.J.M. Verbaarschot, K. Splittorff","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2008-08-14T12:14:48Z","title":"Statistical QCD with non-positive measure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1982","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":"sha256:6f83eeef37455c73f277461df2345c6a31dc54a259ee910d7c12d57456e36184","target":"record","created_at":"2026-05-18T00:37:06Z","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":"cab588885ba24c6885ec2a5f67a74d85722f95ff45283f92ae293d7d34efebf2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2008-08-14T12:14:48Z","title_canon_sha256":"475b95d4513869ed47a165a26c59e33719c2c7b2d4c1bd65edbe393d134d5d6f"},"schema_version":"1.0","source":{"id":"0808.1982","kind":"arxiv","version":1}},"canonical_sha256":"6bf9b8666f57dbdcc2da98cf675afecaa4d5cc7764f994de7ab3cd6691792f7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bf9b8666f57dbdcc2da98cf675afecaa4d5cc7764f994de7ab3cd6691792f7f","first_computed_at":"2026-05-18T00:37:06.051620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:06.051620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RcXJmcu946XZuXED4ja8ZxwmvVN8VqOdgE7lV6GdjuI9eZh382cId6gKjrwHqq4SYWG3GrbvpXkYOwUuY5BYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:06.052223Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.1982","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f83eeef37455c73f277461df2345c6a31dc54a259ee910d7c12d57456e36184","sha256:2905cb339c7147ce69ab76b7d7efc928e8d756a76a46b88eda5595dc989d7572"],"state_sha256":"6397119051a28f3025440510737c7c7ddffcdc0bbfe77a56bbfbdc8921f9f38b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kmpGjs0VqWM2FyGWnrrr7/9zrMfAfYET+JkHwkXaXdK+MRd/yga8V+lo7FEJR1ZUb/IiusV0RAiIEBh028bzCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:32:57.649905Z","bundle_sha256":"88cfb10bcd1761b2a1e3c45011e4139da6beb9ff6ea204b09bb2e52e49dbd88c"}}