{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:GDPCW43LYDTSZU4GKNPHBCHD5N","short_pith_number":"pith:GDPCW43L","schema_version":"1.0","canonical_sha256":"30de2b736bc0e72cd386535e7088e3eb51b33f8231e4330ebbd0230477b7e03a","source":{"kind":"arxiv","id":"2402.12985","version":3},"attestation_state":"computed","paper":{"title":"L\\\"uscher equation with long-range forces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"Akaki Rusetsky, Fabian M\\\"uller, Hans-Werner Hammer, Jia-Jun Wu, Jin-yi Pang, Rishabh Bubna","submitted_at":"2024-02-20T13:14:02Z","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."},"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":"2402.12985","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-02-20T13:14:02Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"9fc41af7f19f1ca183e4710ce3b18b0bd34636da4233deef52f950a441416712","abstract_canon_sha256":"4fe73b738e4a49b496465e90fb4e375305de173b5658dc22bc3470993c6ffd57"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:11:43.183177Z","signature_b64":"L6djAhcK4bhWSM/fkK2fv9bs5g4+zNSfUT84pmIi1FmYYu4dENvGsUopAxFnrMXSuuKL5qcrEa7ZCOcKu521DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30de2b736bc0e72cd386535e7088e3eb51b33f8231e4330ebbd0230477b7e03a","last_reissued_at":"2026-07-05T08:11:43.182697Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:11:43.182697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"L\\\"uscher equation with long-range forces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"Akaki Rusetsky, Fabian M\\\"uller, Hans-Werner Hammer, Jia-Jun Wu, Jin-yi Pang, Rishabh Bubna","submitted_at":"2024-02-20T13:14:02Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.12985","kind":"arxiv","version":3},"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/2402.12985/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":"2402.12985","created_at":"2026-07-05T08:11:43.182754+00:00"},{"alias_kind":"arxiv_version","alias_value":"2402.12985v3","created_at":"2026-07-05T08:11:43.182754+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.12985","created_at":"2026-07-05T08:11:43.182754+00:00"},{"alias_kind":"pith_short_12","alias_value":"GDPCW43LYDTS","created_at":"2026-07-05T08:11:43.182754+00:00"},{"alias_kind":"pith_short_16","alias_value":"GDPCW43LYDTSZU4G","created_at":"2026-07-05T08:11:43.182754+00:00"},{"alias_kind":"pith_short_8","alias_value":"GDPCW43L","created_at":"2026-07-05T08:11:43.182754+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.22957","citing_title":"Finite-volume analysis of the $H$-dibaryon including left-hand-cut effects","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GDPCW43LYDTSZU4GKNPHBCHD5N","json":"https://pith.science/pith/GDPCW43LYDTSZU4GKNPHBCHD5N.json","graph_json":"https://pith.science/api/pith-number/GDPCW43LYDTSZU4GKNPHBCHD5N/graph.json","events_json":"https://pith.science/api/pith-number/GDPCW43LYDTSZU4GKNPHBCHD5N/events.json","paper":"https://pith.science/paper/GDPCW43L"},"agent_actions":{"view_html":"https://pith.science/pith/GDPCW43LYDTSZU4GKNPHBCHD5N","download_json":"https://pith.science/pith/GDPCW43LYDTSZU4GKNPHBCHD5N.json","view_paper":"https://pith.science/paper/GDPCW43L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2402.12985&json=true","fetch_graph":"https://pith.science/api/pith-number/GDPCW43LYDTSZU4GKNPHBCHD5N/graph.json","fetch_events":"https://pith.science/api/pith-number/GDPCW43LYDTSZU4GKNPHBCHD5N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GDPCW43LYDTSZU4GKNPHBCHD5N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GDPCW43LYDTSZU4GKNPHBCHD5N/action/storage_attestation","attest_author":"https://pith.science/pith/GDPCW43LYDTSZU4GKNPHBCHD5N/action/author_attestation","sign_citation":"https://pith.science/pith/GDPCW43LYDTSZU4GKNPHBCHD5N/action/citation_signature","submit_replication":"https://pith.science/pith/GDPCW43LYDTSZU4GKNPHBCHD5N/action/replication_record"}},"created_at":"2026-07-05T08:11:43.182754+00:00","updated_at":"2026-07-05T08:11:43.182754+00:00"}