{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XMH55LRXJDIRE3GU5RXRL46YNP","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":"8b06e4f8398c4aeae713ff8476d60c5409ef700839b6c9f9c0bbcaa9c711d0fa","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2024-11-21T11:09:30Z","title_canon_sha256":"58495d4bc8d79246fd8f698f5f6656c9dcd917f155f162c2c0b7561c86413465"},"schema_version":"1.0","source":{"id":"2411.14022","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14022","created_at":"2026-07-05T09:41:46Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14022v2","created_at":"2026-07-05T09:41:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14022","created_at":"2026-07-05T09:41:46Z"},{"alias_kind":"pith_short_12","alias_value":"XMH55LRXJDIR","created_at":"2026-07-05T09:41:46Z"},{"alias_kind":"pith_short_16","alias_value":"XMH55LRXJDIRE3GU","created_at":"2026-07-05T09:41:46Z"},{"alias_kind":"pith_short_8","alias_value":"XMH55LRX","created_at":"2026-07-05T09:41:46Z"}],"graph_snapshots":[{"event_id":"sha256:db60bbb0bccd2fcecfd9e168547b9d79cd5c0fedcd8da72838f3aeab075dd865","target":"graph","created_at":"2026-07-05T09:41:46Z","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/2411.14022/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this talk we will report on a study of the $\\theta$-dependence of the string tension and of the mass gap of four-dimensional SU($N$) Yang--Mills theories. The spectrum at $N=3$ and $N=6$ was obtained on the lattice at various imaginary values of the $\\theta$-parameter, using Parallel Tempering on Boundary Conditions to avoid topological freezing at fine lattice spacings. The coefficient of the $\\mathcal{O}(\\theta^2)$ term in the Taylor expansion of the spectrum around $\\theta=0$ could be obtained in the continuum limit for $N=3$, and on two fairly fine lattices for $N=6$.","authors_text":"Claudio Bonanno, Claudio Bonati, Davide Vadacchino, Mario Papace","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2024-11-21T11:09:30Z","title":"The imaginary-$\\theta$ dependence of the SU($N$) spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14022","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":"sha256:5a8ca1d8ce3fd083f81ef48e71b7bd564da2ebaf3d48480bdd4294dd692aa303","target":"record","created_at":"2026-07-05T09:41:46Z","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":"8b06e4f8398c4aeae713ff8476d60c5409ef700839b6c9f9c0bbcaa9c711d0fa","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2024-11-21T11:09:30Z","title_canon_sha256":"58495d4bc8d79246fd8f698f5f6656c9dcd917f155f162c2c0b7561c86413465"},"schema_version":"1.0","source":{"id":"2411.14022","kind":"arxiv","version":2}},"canonical_sha256":"bb0fdeae3748d1126cd4ec6f15f3d86be9f97eb43cc68c94553aafec0acc433b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb0fdeae3748d1126cd4ec6f15f3d86be9f97eb43cc68c94553aafec0acc433b","first_computed_at":"2026-07-05T09:41:46.051831Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:41:46.051831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NoYZ/9MSTW9GalD0VeEU9YKJ5C7Wa7EmXclNqoDZJK+s+52ipDcl4QL8/nYbYiQERn7vh1RrZn9GoCvQwbTBAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:41:46.052335Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.14022","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a8ca1d8ce3fd083f81ef48e71b7bd564da2ebaf3d48480bdd4294dd692aa303","sha256:db60bbb0bccd2fcecfd9e168547b9d79cd5c0fedcd8da72838f3aeab075dd865"],"state_sha256":"d810bec3f495c193822cadce155cb5ed64f9441da87d23d734ee60e2bfd9b9aa"}