{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:NGK2UQLCOIWMHRWP4CMXBJXUYK","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":"7428b100212693e7d05f7978e962d773cacf0802dc64c033f5d5a92ad9ab0268","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-10-22T13:40:07Z","title_canon_sha256":"50f6d7fc29fbe311945ce49427303daac317202ca0bcff61eec5944451b390e7"},"schema_version":"1.0","source":{"id":"2010.11715","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.11715","created_at":"2026-07-05T02:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"2010.11715v5","created_at":"2026-07-05T02:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.11715","created_at":"2026-07-05T02:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"NGK2UQLCOIWM","created_at":"2026-07-05T02:18:56Z"},{"alias_kind":"pith_short_16","alias_value":"NGK2UQLCOIWMHRWP","created_at":"2026-07-05T02:18:56Z"},{"alias_kind":"pith_short_8","alias_value":"NGK2UQLC","created_at":"2026-07-05T02:18:56Z"}],"graph_snapshots":[{"event_id":"sha256:bd570fcfcdf2fedbf228adf029dc65e13b6483993b03fe8969db7aab817fa16c","target":"graph","created_at":"2026-07-05T02:18:56Z","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/2010.11715/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a general method for deriving the energy shift of an interacting system of $N$ spinless particles in a finite volume. To this end, we use the nonrelativistic effective field theory (NREFT), and match the pertinent low-energy constants to the scattering amplitudes. Relativistic corrections are explicitly included up to a given order in the $1/L$ expansion. We apply this method to obtain the ground state of $N$ particles, and the first excited state of two and three particles to order $L^{-6}$ in terms of the threshold parameters of the two- and three-particle relativistic scattering ","authors_text":"Akaki Rusetsky, Carsten Urbach, Fernando Romero-L\\'opez, Nikolas Schlage","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-10-22T13:40:07Z","title":"Relativistic $N$-particle energy shift in finite volume"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.11715","kind":"arxiv","version":5},"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":"sha256:97b154fdbfa6371b2b5ee691db7cefb35f4a89e86ad19686d94aef24ead5c8ac","target":"record","created_at":"2026-07-05T02:18:56Z","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":"7428b100212693e7d05f7978e962d773cacf0802dc64c033f5d5a92ad9ab0268","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-10-22T13:40:07Z","title_canon_sha256":"50f6d7fc29fbe311945ce49427303daac317202ca0bcff61eec5944451b390e7"},"schema_version":"1.0","source":{"id":"2010.11715","kind":"arxiv","version":5}},"canonical_sha256":"6995aa4162722cc3c6cfe09970a6f4c28d7ed484b9e76c67cc306437cdf711ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6995aa4162722cc3c6cfe09970a6f4c28d7ed484b9e76c67cc306437cdf711ce","first_computed_at":"2026-07-05T02:18:56.889367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:18:56.889367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QujdW5fULknc0XLkbwXxlVUpjNUr3EeqTwruhVwjRmFcWxlEJp5FbSEpaWY96uD5uQxrUxlxQn5SnpqUCkSPCg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:18:56.889758Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.11715","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97b154fdbfa6371b2b5ee691db7cefb35f4a89e86ad19686d94aef24ead5c8ac","sha256:bd570fcfcdf2fedbf228adf029dc65e13b6483993b03fe8969db7aab817fa16c"],"state_sha256":"ac42a7834ed0311d76c0b2de2d69cf67a9c0043a923cb24a0b6179c346e85f0b"}