{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:7GYZJ36ZA4GFW4AG6CHXR2IRUK","short_pith_number":"pith:7GYZJ36Z","schema_version":"1.0","canonical_sha256":"f9b194efd9070c5b7006f08f78e911a2b37ba7ad2417efee7c007fb66521d1d3","source":{"kind":"arxiv","id":"1301.3520","version":1},"attestation_state":"computed","paper":{"title":"Bounds on free energy in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Axel Maas, Daniel Zwanziger","submitted_at":"2013-01-15T22:32:22Z","abstract_excerpt":"We derive some exact bounds on the free energy $W(J)$ in QCD, where $J_\\mu^b$ is a source for the gluon field $A_\\mu^b$ in the minimal Landau gauge, and $W(J)$ is the generating functional of connected gluon correlators. Among other results, we show that for a static source $J(x) = h$ the free energy vanishes, $W(h) = 0$, together with its first derivative, ${\\partial W(h) \\over \\partial h} = 0,$ for all $h$, no matter how strong. Thus the system does not respond to a static color probe. We also present numerical evaluations of the free energy $W(J)$ and find that the bounds are well satisfied"},"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":"1301.3520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-01-15T22:32:22Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"e962ec769ed0f5ba0ebe5d0a6140ecf6a175ce4c42c1c94b78f6d691a6083a52","abstract_canon_sha256":"c06bbb7788f4960b0eb88fb667bb3648ef3a8eebc3967ce213de2882645a6921"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:17.557721Z","signature_b64":"g7QE6mlX+uV2AWiNh0cP6uThVz3c/s936bKCeXviHEx9ictgmWdWfLfNnHR2UAYLlKXMUUAuGDrdt4TWoJp/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9b194efd9070c5b7006f08f78e911a2b37ba7ad2417efee7c007fb66521d1d3","last_reissued_at":"2026-05-18T03:36:17.557215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:17.557215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounds on free energy in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Axel Maas, Daniel Zwanziger","submitted_at":"2013-01-15T22:32:22Z","abstract_excerpt":"We derive some exact bounds on the free energy $W(J)$ in QCD, where $J_\\mu^b$ is a source for the gluon field $A_\\mu^b$ in the minimal Landau gauge, and $W(J)$ is the generating functional of connected gluon correlators. Among other results, we show that for a static source $J(x) = h$ the free energy vanishes, $W(h) = 0$, together with its first derivative, ${\\partial W(h) \\over \\partial h} = 0,$ for all $h$, no matter how strong. Thus the system does not respond to a static color probe. We also present numerical evaluations of the free energy $W(J)$ and find that the bounds are well satisfied"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3520","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1301.3520","created_at":"2026-05-18T03:36:17.557286+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.3520v1","created_at":"2026-05-18T03:36:17.557286+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3520","created_at":"2026-05-18T03:36:17.557286+00:00"},{"alias_kind":"pith_short_12","alias_value":"7GYZJ36ZA4GF","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"7GYZJ36ZA4GFW4AG","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"7GYZJ36Z","created_at":"2026-05-18T12:27:36.564083+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/7GYZJ36ZA4GFW4AG6CHXR2IRUK","json":"https://pith.science/pith/7GYZJ36ZA4GFW4AG6CHXR2IRUK.json","graph_json":"https://pith.science/api/pith-number/7GYZJ36ZA4GFW4AG6CHXR2IRUK/graph.json","events_json":"https://pith.science/api/pith-number/7GYZJ36ZA4GFW4AG6CHXR2IRUK/events.json","paper":"https://pith.science/paper/7GYZJ36Z"},"agent_actions":{"view_html":"https://pith.science/pith/7GYZJ36ZA4GFW4AG6CHXR2IRUK","download_json":"https://pith.science/pith/7GYZJ36ZA4GFW4AG6CHXR2IRUK.json","view_paper":"https://pith.science/paper/7GYZJ36Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.3520&json=true","fetch_graph":"https://pith.science/api/pith-number/7GYZJ36ZA4GFW4AG6CHXR2IRUK/graph.json","fetch_events":"https://pith.science/api/pith-number/7GYZJ36ZA4GFW4AG6CHXR2IRUK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7GYZJ36ZA4GFW4AG6CHXR2IRUK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7GYZJ36ZA4GFW4AG6CHXR2IRUK/action/storage_attestation","attest_author":"https://pith.science/pith/7GYZJ36ZA4GFW4AG6CHXR2IRUK/action/author_attestation","sign_citation":"https://pith.science/pith/7GYZJ36ZA4GFW4AG6CHXR2IRUK/action/citation_signature","submit_replication":"https://pith.science/pith/7GYZJ36ZA4GFW4AG6CHXR2IRUK/action/replication_record"}},"created_at":"2026-05-18T03:36:17.557286+00:00","updated_at":"2026-05-18T03:36:17.557286+00:00"}