{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LQM4QFKSB7JFN62G5QQ5JTE5YR","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":"46319f418b80aeed4694e5ce81a07cdc3dfd0c494c4edec2337f7ceb6d9683c2","cross_cats_sorted":["hep-lat","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-01-17T17:22:11Z","title_canon_sha256":"001165b30e5756c4559ece365805d54ff47c907a074a55aaf3bd9949404e205f"},"schema_version":"1.0","source":{"id":"1301.4163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4163","created_at":"2026-05-18T01:52:06Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4163v1","created_at":"2026-05-18T01:52:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4163","created_at":"2026-05-18T01:52:06Z"},{"alias_kind":"pith_short_12","alias_value":"LQM4QFKSB7JF","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LQM4QFKSB7JFN62G","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LQM4QFKS","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:3cc0b61fbb324fccadfe879fc0b75bf28a98b1eac8aa917b8631c3042f5fd3f8","target":"graph","created_at":"2026-05-18T01:52:06Z","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":"We compute the Polyakov loop potential in Yang--Mills theory from the fully dressed primitively divergent correlation functions only. This is done in a variety of functional approaches ranging from functional renormalisation group equations over Dyson--Schwinger equations to two-particle irreducible functionals. We present a confinement criterion that links the infrared behaviour of propagators and vertices to the Polyakov loop expectation value. The present work extends the works of [1-3] to general functional methods and sharpens the confinement criterion presented there. The computations ar","authors_text":"Jan M. Pawlowski, Leonard Fister","cross_cats":["hep-lat","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-01-17T17:22:11Z","title":"Confinement from Correlation Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4163","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":"sha256:64955766ea470be11310960202396864f1373eb438291de504fd897f9376559c","target":"record","created_at":"2026-05-18T01:52:06Z","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":"46319f418b80aeed4694e5ce81a07cdc3dfd0c494c4edec2337f7ceb6d9683c2","cross_cats_sorted":["hep-lat","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-01-17T17:22:11Z","title_canon_sha256":"001165b30e5756c4559ece365805d54ff47c907a074a55aaf3bd9949404e205f"},"schema_version":"1.0","source":{"id":"1301.4163","kind":"arxiv","version":1}},"canonical_sha256":"5c19c815520fd256fb46ec21d4cc9dc44f3326710c6066e03e2cd564b8a9a1ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c19c815520fd256fb46ec21d4cc9dc44f3326710c6066e03e2cd564b8a9a1ae","first_computed_at":"2026-05-18T01:52:06.181803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:06.181803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zkSu7JDvpsM39cwqeI0qJGp/Pf3Vcss7tmCW7ATDmgqNh+PKd0TvmPgQGPD/uCdt6ZIpnWdipxmEh0IjPIh9DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:06.182571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64955766ea470be11310960202396864f1373eb438291de504fd897f9376559c","sha256:3cc0b61fbb324fccadfe879fc0b75bf28a98b1eac8aa917b8631c3042f5fd3f8"],"state_sha256":"6b1b70b6584624b15388f84d5947856bdf93304500fb253c3a9e73d7670ad6f9"}