{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:IDCOTS7PAQCWKOHU6QOKTOLJUP","short_pith_number":"pith:IDCOTS7P","schema_version":"1.0","canonical_sha256":"40c4e9cbef04056538f4f41ca9b969a3e687a587b066aaee0dba7de07be9338a","source":{"kind":"arxiv","id":"1512.01544","version":2},"attestation_state":"computed","paper":{"title":"$\\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Aurora Scapellato, Claudio Bonati, Massimo D'Elia","submitted_at":"2015-12-04T20:58:19Z","abstract_excerpt":"We investigate the topological properties of the $SU(3)$ pure gauge theory by performing numerical simulations at imaginary values of the $\\theta$ parameter. By monitoring the dependence of various cumulants of the topological charge distribution on the imaginary part of $\\theta$ and exploiting analytic continuation, we determine the free energy density up to the sixth order order in $\\theta$, $f(\\theta,T) = f(0,T) + {1\\over 2} \\chi(T) \\theta^2 (1 + b_2(T) \\theta^2 + b_4(T) \\theta^4 + O(\\theta^6))$. That permits us to achieve determinations with improved accuracy, in particular for the higher "},"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":"1512.01544","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-12-04T20:58:19Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"5a9490d5fe571f6ca0e8963eeedf20a33492557fd52b8a4ab60d550147613881","abstract_canon_sha256":"1e1322abd5a628b49ad5b3bca80d89250ebc6ed93535110da25bd2be447c15aa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:46.886432Z","signature_b64":"7vs2J6SlUg8V7LufqEuNvX2RwcbItVAxjchqR034ra2OI7P+OdeFNUFdA4htTIt5zlgG4flym0myJBV7Uxg2Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40c4e9cbef04056538f4f41ca9b969a3e687a587b066aaee0dba7de07be9338a","last_reissued_at":"2026-05-18T01:21:46.885690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:46.885690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$\\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Aurora Scapellato, Claudio Bonati, Massimo D'Elia","submitted_at":"2015-12-04T20:58:19Z","abstract_excerpt":"We investigate the topological properties of the $SU(3)$ pure gauge theory by performing numerical simulations at imaginary values of the $\\theta$ parameter. By monitoring the dependence of various cumulants of the topological charge distribution on the imaginary part of $\\theta$ and exploiting analytic continuation, we determine the free energy density up to the sixth order order in $\\theta$, $f(\\theta,T) = f(0,T) + {1\\over 2} \\chi(T) \\theta^2 (1 + b_2(T) \\theta^2 + b_4(T) \\theta^4 + O(\\theta^6))$. That permits us to achieve determinations with improved accuracy, in particular for the higher "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01544","kind":"arxiv","version":2},"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":"1512.01544","created_at":"2026-05-18T01:21:46.885810+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.01544v2","created_at":"2026-05-18T01:21:46.885810+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01544","created_at":"2026-05-18T01:21:46.885810+00:00"},{"alias_kind":"pith_short_12","alias_value":"IDCOTS7PAQCW","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"IDCOTS7PAQCWKOHU","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"IDCOTS7P","created_at":"2026-05-18T12:29:25.134429+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.25704","citing_title":"Scaling flow-based approaches for topology sampling in $\\mathrm{SU}(3)$ gauge theory","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"2501.08217","citing_title":"Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory","ref_index":39,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IDCOTS7PAQCWKOHU6QOKTOLJUP","json":"https://pith.science/pith/IDCOTS7PAQCWKOHU6QOKTOLJUP.json","graph_json":"https://pith.science/api/pith-number/IDCOTS7PAQCWKOHU6QOKTOLJUP/graph.json","events_json":"https://pith.science/api/pith-number/IDCOTS7PAQCWKOHU6QOKTOLJUP/events.json","paper":"https://pith.science/paper/IDCOTS7P"},"agent_actions":{"view_html":"https://pith.science/pith/IDCOTS7PAQCWKOHU6QOKTOLJUP","download_json":"https://pith.science/pith/IDCOTS7PAQCWKOHU6QOKTOLJUP.json","view_paper":"https://pith.science/paper/IDCOTS7P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.01544&json=true","fetch_graph":"https://pith.science/api/pith-number/IDCOTS7PAQCWKOHU6QOKTOLJUP/graph.json","fetch_events":"https://pith.science/api/pith-number/IDCOTS7PAQCWKOHU6QOKTOLJUP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IDCOTS7PAQCWKOHU6QOKTOLJUP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IDCOTS7PAQCWKOHU6QOKTOLJUP/action/storage_attestation","attest_author":"https://pith.science/pith/IDCOTS7PAQCWKOHU6QOKTOLJUP/action/author_attestation","sign_citation":"https://pith.science/pith/IDCOTS7PAQCWKOHU6QOKTOLJUP/action/citation_signature","submit_replication":"https://pith.science/pith/IDCOTS7PAQCWKOHU6QOKTOLJUP/action/replication_record"}},"created_at":"2026-05-18T01:21:46.885810+00:00","updated_at":"2026-05-18T01:21:46.885810+00:00"}