{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GDPCW43LYDTSZU4GKNPHBCHD5N","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":"4fe73b738e4a49b496465e90fb4e375305de173b5658dc22bc3470993c6ffd57","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-02-20T13:14:02Z","title_canon_sha256":"9fc41af7f19f1ca183e4710ce3b18b0bd34636da4233deef52f950a441416712"},"schema_version":"1.0","source":{"id":"2402.12985","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.12985","created_at":"2026-07-05T08:11:43Z"},{"alias_kind":"arxiv_version","alias_value":"2402.12985v3","created_at":"2026-07-05T08:11:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.12985","created_at":"2026-07-05T08:11:43Z"},{"alias_kind":"pith_short_12","alias_value":"GDPCW43LYDTS","created_at":"2026-07-05T08:11:43Z"},{"alias_kind":"pith_short_16","alias_value":"GDPCW43LYDTSZU4G","created_at":"2026-07-05T08:11:43Z"},{"alias_kind":"pith_short_8","alias_value":"GDPCW43L","created_at":"2026-07-05T08:11:43Z"}],"graph_snapshots":[{"event_id":"sha256:ceda1bc9eb1c1381bf7fe5c7780cb67c997dc0cfc21b61217f960d54dd2020e5","target":"graph","created_at":"2026-07-05T08:11:43Z","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/2402.12985/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the modified L\\\"uscher equation in the presence of the long-range force caused by the exchange of a light particle. It is shown that the use of this equation enables one to circumvent the problems related to the strong partial-wave mixing and the t-channel sub-threshold singularities. It is also demonstrated that the present method is intrinsically linked to the so-called modified effective-range expansion (MERE) in the infinite volume. A detailed comparison with the two recently proposed alternative approaches is provided.","authors_text":"Akaki Rusetsky, Fabian M\\\"uller, Hans-Werner Hammer, Jia-Jun Wu, Jin-yi Pang, Rishabh Bubna","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-02-20T13:14:02Z","title":"L\\\"uscher equation with long-range forces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.12985","kind":"arxiv","version":3},"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":"sha256:3d1b1f855d7c8121c2639367dddd9beff6301beddcc61b7ef697ef7f7bbec980","target":"record","created_at":"2026-07-05T08:11:43Z","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":"4fe73b738e4a49b496465e90fb4e375305de173b5658dc22bc3470993c6ffd57","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-02-20T13:14:02Z","title_canon_sha256":"9fc41af7f19f1ca183e4710ce3b18b0bd34636da4233deef52f950a441416712"},"schema_version":"1.0","source":{"id":"2402.12985","kind":"arxiv","version":3}},"canonical_sha256":"30de2b736bc0e72cd386535e7088e3eb51b33f8231e4330ebbd0230477b7e03a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30de2b736bc0e72cd386535e7088e3eb51b33f8231e4330ebbd0230477b7e03a","first_computed_at":"2026-07-05T08:11:43.182697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:11:43.182697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L6djAhcK4bhWSM/fkK2fv9bs5g4+zNSfUT84pmIi1FmYYu4dENvGsUopAxFnrMXSuuKL5qcrEa7ZCOcKu521DA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:11:43.183177Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.12985","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d1b1f855d7c8121c2639367dddd9beff6301beddcc61b7ef697ef7f7bbec980","sha256:ceda1bc9eb1c1381bf7fe5c7780cb67c997dc0cfc21b61217f960d54dd2020e5"],"state_sha256":"68558b61b6e783bf96730556d531e02085490a72a4fc09b0f9ba309411e5bc7f"}