{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:7C63XQPXYR5EOEHPY3SBKSTK44","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":"ce638f4f7c970eea3fe957c7780ab5105457a37fba2c6e866d6018c2d688c478","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-10-17T15:18:46Z","title_canon_sha256":"f96c62b11c383335b0fceeb16babe250c9de304cc93f6e845360153cacb6c664"},"schema_version":"1.0","source":{"id":"2010.08810","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.08810","created_at":"2026-07-05T02:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"2010.08810v2","created_at":"2026-07-05T02:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.08810","created_at":"2026-07-05T02:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"7C63XQPXYR5E","created_at":"2026-07-05T02:17:37Z"},{"alias_kind":"pith_short_16","alias_value":"7C63XQPXYR5EOEHP","created_at":"2026-07-05T02:17:37Z"},{"alias_kind":"pith_short_8","alias_value":"7C63XQPX","created_at":"2026-07-05T02:17:37Z"}],"graph_snapshots":[{"event_id":"sha256:2da2da7c5ed4769d47bad35f5425c1cbb0a2369576c5012005d7f7f715aca667","target":"graph","created_at":"2026-07-05T02:17:37Z","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/2010.08810/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study $\\theta$ dependence of the vacuum energy for the 4d SU(2) pure Yang-Mills theory by lattice numerical simulations. The response of topological excitations to the smearing procedure is investigated in detail, in order to extract topological information from smeared gauge configurations. We determine the first two coefficients in the $\\theta$ expansion of the vacuum energy, the topological susceptibility $\\chi$ and the first dimensionless coefficient $b_2$, in the continuum limit. We find consistency of the SU(2) results with the large $N$ scaling. By analytic continuing the number of c","authors_text":"Masahito Yamazaki, Norikazu Yamada, Ryuichiro Kitano","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-10-17T15:18:46Z","title":"Is $N=2$ Large?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.08810","kind":"arxiv","version":2},"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":"sha256:456b2dabe4b84527fbf14c007c8dae5c6f87438a2b9fd540096e3dfb174cf26a","target":"record","created_at":"2026-07-05T02:17:37Z","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":"ce638f4f7c970eea3fe957c7780ab5105457a37fba2c6e866d6018c2d688c478","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-10-17T15:18:46Z","title_canon_sha256":"f96c62b11c383335b0fceeb16babe250c9de304cc93f6e845360153cacb6c664"},"schema_version":"1.0","source":{"id":"2010.08810","kind":"arxiv","version":2}},"canonical_sha256":"f8bdbbc1f7c47a4710efc6e4154a6ae70ae3b7721386bc14311bd17f823dad2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8bdbbc1f7c47a4710efc6e4154a6ae70ae3b7721386bc14311bd17f823dad2d","first_computed_at":"2026-07-05T02:17:37.303625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:17:37.303625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QmvXLbxSN0y8vJkRSngPp2CdImDdfXJ29k81vYr4z6CTZT4+yfruq+gb450OyRaZlQyV1CHwg55NPAaOye1DBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:17:37.304023Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.08810","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:456b2dabe4b84527fbf14c007c8dae5c6f87438a2b9fd540096e3dfb174cf26a","sha256:2da2da7c5ed4769d47bad35f5425c1cbb0a2369576c5012005d7f7f715aca667"],"state_sha256":"6245a9d6cde97636e5ac057850daf5d21e89c95e00cbe0cbf1c4ff3daddc2a3e"}