{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:5CEVPYADIEEBVPL7JWAUJBOQCD","short_pith_number":"pith:5CEVPYAD","schema_version":"1.0","canonical_sha256":"e88957e00341081abd7f4d814485d010d3fd0eb867f7b2ced1491f4bf977ed8b","source":{"kind":"arxiv","id":"2412.20165","version":1},"attestation_state":"computed","paper":{"title":"Spectral sum rules and phase transition in strongly coupled QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Konrad Tywoniuk, Nan Su, Yi-lun Du","submitted_at":"2024-12-28T14:32:40Z","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_"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2412.20165","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-28T14:32:40Z","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"title_canon_sha256":"48e56ff378be0bb02c0361a134c544b10722a0c1b6f11e0d390cdd73bca263ae","abstract_canon_sha256":"1d47450af7eafa8b69ad330e4c8ba20b2aa15c96d1b7c68bed4a646cb913a7e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:54:55.463816Z","signature_b64":"8rYrN402lI7C12aMejxuF/H1SFvtLJ0UFoxaSOkgAORR4qpuk30HF2KXaZZxAxyoPLziNqU9nuus21ThRJ4CDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e88957e00341081abd7f4d814485d010d3fd0eb867f7b2ced1491f4bf977ed8b","last_reissued_at":"2026-07-05T09:54:55.463367Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:54:55.463367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral sum rules and phase transition in strongly coupled QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Konrad Tywoniuk, Nan Su, Yi-lun Du","submitted_at":"2024-12-28T14:32:40Z","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_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.20165","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.20165/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2412.20165","created_at":"2026-07-05T09:54:55.463427+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.20165v1","created_at":"2026-07-05T09:54:55.463427+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.20165","created_at":"2026-07-05T09:54:55.463427+00:00"},{"alias_kind":"pith_short_12","alias_value":"5CEVPYADIEEB","created_at":"2026-07-05T09:54:55.463427+00:00"},{"alias_kind":"pith_short_16","alias_value":"5CEVPYADIEEBVPL7","created_at":"2026-07-05T09:54:55.463427+00:00"},{"alias_kind":"pith_short_8","alias_value":"5CEVPYAD","created_at":"2026-07-05T09:54:55.463427+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5CEVPYADIEEBVPL7JWAUJBOQCD","json":"https://pith.science/pith/5CEVPYADIEEBVPL7JWAUJBOQCD.json","graph_json":"https://pith.science/api/pith-number/5CEVPYADIEEBVPL7JWAUJBOQCD/graph.json","events_json":"https://pith.science/api/pith-number/5CEVPYADIEEBVPL7JWAUJBOQCD/events.json","paper":"https://pith.science/paper/5CEVPYAD"},"agent_actions":{"view_html":"https://pith.science/pith/5CEVPYADIEEBVPL7JWAUJBOQCD","download_json":"https://pith.science/pith/5CEVPYADIEEBVPL7JWAUJBOQCD.json","view_paper":"https://pith.science/paper/5CEVPYAD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.20165&json=true","fetch_graph":"https://pith.science/api/pith-number/5CEVPYADIEEBVPL7JWAUJBOQCD/graph.json","fetch_events":"https://pith.science/api/pith-number/5CEVPYADIEEBVPL7JWAUJBOQCD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5CEVPYADIEEBVPL7JWAUJBOQCD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5CEVPYADIEEBVPL7JWAUJBOQCD/action/storage_attestation","attest_author":"https://pith.science/pith/5CEVPYADIEEBVPL7JWAUJBOQCD/action/author_attestation","sign_citation":"https://pith.science/pith/5CEVPYADIEEBVPL7JWAUJBOQCD/action/citation_signature","submit_replication":"https://pith.science/pith/5CEVPYADIEEBVPL7JWAUJBOQCD/action/replication_record"}},"created_at":"2026-07-05T09:54:55.463427+00:00","updated_at":"2026-07-05T09:54:55.463427+00:00"}