{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5CEVPYADIEEBVPL7JWAUJBOQCD","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":"1d47450af7eafa8b69ad330e4c8ba20b2aa15c96d1b7c68bed4a646cb913a7e9","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-28T14:32:40Z","title_canon_sha256":"48e56ff378be0bb02c0361a134c544b10722a0c1b6f11e0d390cdd73bca263ae"},"schema_version":"1.0","source":{"id":"2412.20165","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.20165","created_at":"2026-07-05T09:54:55Z"},{"alias_kind":"arxiv_version","alias_value":"2412.20165v1","created_at":"2026-07-05T09:54:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.20165","created_at":"2026-07-05T09:54:55Z"},{"alias_kind":"pith_short_12","alias_value":"5CEVPYADIEEB","created_at":"2026-07-05T09:54:55Z"},{"alias_kind":"pith_short_16","alias_value":"5CEVPYADIEEBVPL7","created_at":"2026-07-05T09:54:55Z"},{"alias_kind":"pith_short_8","alias_value":"5CEVPYAD","created_at":"2026-07-05T09:54:55Z"}],"graph_snapshots":[{"event_id":"sha256:64d546270fdd0928169288faaf0a493efd9379ee9ef6b32cd86f658bedc70355","target":"graph","created_at":"2026-07-05T09:54:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.20165/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By incorporating contributions from both the (chromo)electric scale $gT$ and (chromo)magnetic scale $g^2T$, we establish spectral sum rules of quarks for strongly coupled QCD that respect Fermi-Dirac statistics as required by quantum mechanics. In sharp contrast to QED and weakly coupled QCD whose spectral functions consist of discontinuous zero-dimensional (poles) and one-dimensional (branch cuts) non-analytic contributions from real energy $p_0 \\in \\mathbb{R}$, the derived spectral function for strongly coupled quarks features continuous but non-analytic contributions from complex energy $p_","authors_text":"Konrad Tywoniuk, Nan Su, Yi-lun Du","cross_cats":["hep-lat","hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-28T14:32:40Z","title":"Spectral sum rules and phase transition in strongly coupled QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.20165","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":"sha256:375c5dad5e262f84cc48681e8f358ff4184f9cd5d3b6ffa6391a610e34fdf7e6","target":"record","created_at":"2026-07-05T09:54:55Z","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":"1d47450af7eafa8b69ad330e4c8ba20b2aa15c96d1b7c68bed4a646cb913a7e9","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-28T14:32:40Z","title_canon_sha256":"48e56ff378be0bb02c0361a134c544b10722a0c1b6f11e0d390cdd73bca263ae"},"schema_version":"1.0","source":{"id":"2412.20165","kind":"arxiv","version":1}},"canonical_sha256":"e88957e00341081abd7f4d814485d010d3fd0eb867f7b2ced1491f4bf977ed8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e88957e00341081abd7f4d814485d010d3fd0eb867f7b2ced1491f4bf977ed8b","first_computed_at":"2026-07-05T09:54:55.463367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:54:55.463367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8rYrN402lI7C12aMejxuF/H1SFvtLJ0UFoxaSOkgAORR4qpuk30HF2KXaZZxAxyoPLziNqU9nuus21ThRJ4CDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:54:55.463816Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.20165","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:375c5dad5e262f84cc48681e8f358ff4184f9cd5d3b6ffa6391a610e34fdf7e6","sha256:64d546270fdd0928169288faaf0a493efd9379ee9ef6b32cd86f658bedc70355"],"state_sha256":"9b06dd0aedbeb25a0569665a7cb422610c0a2b7646d9e6fd8d4d652d2bc8181e"}