{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:XMH55LRXJDIRE3GU5RXRL46YNP","short_pith_number":"pith:XMH55LRX","schema_version":"1.0","canonical_sha256":"bb0fdeae3748d1126cd4ec6f15f3d86be9f97eb43cc68c94553aafec0acc433b","source":{"kind":"arxiv","id":"2411.14022","version":2},"attestation_state":"computed","paper":{"title":"The imaginary-$\\theta$ dependence of the SU($N$) spectrum","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Claudio Bonanno, Claudio Bonati, Davide Vadacchino, Mario Papace","submitted_at":"2024-11-21T11:09:30Z","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 $N=6$."},"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":"2411.14022","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2024-11-21T11:09:30Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"58495d4bc8d79246fd8f698f5f6656c9dcd917f155f162c2c0b7561c86413465","abstract_canon_sha256":"8b06e4f8398c4aeae713ff8476d60c5409ef700839b6c9f9c0bbcaa9c711d0fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:41:46.052335Z","signature_b64":"NoYZ/9MSTW9GalD0VeEU9YKJ5C7Wa7EmXclNqoDZJK+s+52ipDcl4QL8/nYbYiQERn7vh1RrZn9GoCvQwbTBAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb0fdeae3748d1126cd4ec6f15f3d86be9f97eb43cc68c94553aafec0acc433b","last_reissued_at":"2026-07-05T09:41:46.051831Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:41:46.051831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The imaginary-$\\theta$ dependence of the SU($N$) spectrum","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Claudio Bonanno, Claudio Bonati, Davide Vadacchino, Mario Papace","submitted_at":"2024-11-21T11:09:30Z","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 $N=6$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14022","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.14022/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2411.14022","created_at":"2026-07-05T09:41:46.051893+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.14022v2","created_at":"2026-07-05T09:41:46.051893+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14022","created_at":"2026-07-05T09:41:46.051893+00:00"},{"alias_kind":"pith_short_12","alias_value":"XMH55LRXJDIR","created_at":"2026-07-05T09:41:46.051893+00:00"},{"alias_kind":"pith_short_16","alias_value":"XMH55LRXJDIRE3GU","created_at":"2026-07-05T09:41:46.051893+00:00"},{"alias_kind":"pith_short_8","alias_value":"XMH55LRX","created_at":"2026-07-05T09:41:46.051893+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.05336","citing_title":"Wormholes and the imaginary distance bound","ref_index":41,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XMH55LRXJDIRE3GU5RXRL46YNP","json":"https://pith.science/pith/XMH55LRXJDIRE3GU5RXRL46YNP.json","graph_json":"https://pith.science/api/pith-number/XMH55LRXJDIRE3GU5RXRL46YNP/graph.json","events_json":"https://pith.science/api/pith-number/XMH55LRXJDIRE3GU5RXRL46YNP/events.json","paper":"https://pith.science/paper/XMH55LRX"},"agent_actions":{"view_html":"https://pith.science/pith/XMH55LRXJDIRE3GU5RXRL46YNP","download_json":"https://pith.science/pith/XMH55LRXJDIRE3GU5RXRL46YNP.json","view_paper":"https://pith.science/paper/XMH55LRX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.14022&json=true","fetch_graph":"https://pith.science/api/pith-number/XMH55LRXJDIRE3GU5RXRL46YNP/graph.json","fetch_events":"https://pith.science/api/pith-number/XMH55LRXJDIRE3GU5RXRL46YNP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XMH55LRXJDIRE3GU5RXRL46YNP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XMH55LRXJDIRE3GU5RXRL46YNP/action/storage_attestation","attest_author":"https://pith.science/pith/XMH55LRXJDIRE3GU5RXRL46YNP/action/author_attestation","sign_citation":"https://pith.science/pith/XMH55LRXJDIRE3GU5RXRL46YNP/action/citation_signature","submit_replication":"https://pith.science/pith/XMH55LRXJDIRE3GU5RXRL46YNP/action/replication_record"}},"created_at":"2026-07-05T09:41:46.051893+00:00","updated_at":"2026-07-05T09:41:46.051893+00:00"}