{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:PEPY32IM3QRPJQYU76FWOWQIRL","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":"ca528fc2f0ca2648faa140b6f57d06b9b5cfaf3c5a758ee2df8038bc02b98707","cross_cats_sorted":["cond-mat.quant-gas","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-02-10T22:13:02Z","title_canon_sha256":"5020b8cf55562cdf876da12c29feeb104c6bcdd985e61c3ee4aed5ac459f83bc"},"schema_version":"1.0","source":{"id":"2002.04111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.04111","created_at":"2026-07-05T00:53:45Z"},{"alias_kind":"arxiv_version","alias_value":"2002.04111v1","created_at":"2026-07-05T00:53:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.04111","created_at":"2026-07-05T00:53:45Z"},{"alias_kind":"pith_short_12","alias_value":"PEPY32IM3QRP","created_at":"2026-07-05T00:53:45Z"},{"alias_kind":"pith_short_16","alias_value":"PEPY32IM3QRPJQYU","created_at":"2026-07-05T00:53:45Z"},{"alias_kind":"pith_short_8","alias_value":"PEPY32IM","created_at":"2026-07-05T00:53:45Z"}],"graph_snapshots":[{"event_id":"sha256:420e51cd6d0b4766479bf50dc5f9a4ac1199798a811eafabed10727001a7067a","target":"graph","created_at":"2026-07-05T00:53:45Z","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/2002.04111/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In present work, we show how the threshold expansion formula of $N$ identical bosons in finite volume may be derived by iterations of Faddeev-type coupled dynamical equations. The energy shift of $N$-boson system near threshold is dominated by zero momenta mode of $N$-body amplitudes with all particles nearly static. The dominant zero momenta mode and sub-leading non-zero momenta mode contributions are connected through finite volume Faddeev-type coupled dynamical equations. Eliminating non-zero momenta modes by iterations ultimately yields an analytic expression that can be solved by threshol","authors_text":"Peng Guo","cross_cats":["cond-mat.quant-gas","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-02-10T22:13:02Z","title":"Threshold expansion formula of $N$-boson in finite volume from variational approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.04111","kind":"arxiv","version":1},"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":"sha256:70185bc93f8fb3b37bbe3d96745ef1803449117ffbe7aef3f8b2876d3f59496e","target":"record","created_at":"2026-07-05T00:53:45Z","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":"ca528fc2f0ca2648faa140b6f57d06b9b5cfaf3c5a758ee2df8038bc02b98707","cross_cats_sorted":["cond-mat.quant-gas","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-02-10T22:13:02Z","title_canon_sha256":"5020b8cf55562cdf876da12c29feeb104c6bcdd985e61c3ee4aed5ac459f83bc"},"schema_version":"1.0","source":{"id":"2002.04111","kind":"arxiv","version":1}},"canonical_sha256":"791f8de90cdc22f4c314ff8b675a088ae5b8f812d9b6d38157f12e12b695acc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"791f8de90cdc22f4c314ff8b675a088ae5b8f812d9b6d38157f12e12b695acc9","first_computed_at":"2026-07-05T00:53:45.305395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:53:45.305395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yltR6CYAWzFxjPKgqViSuFzschhW8ceKzzhlU51xCVHpkLomr4C2SmwtJh47lIrtviTbJL1r2yhsgRJRGXfcBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:53:45.305882Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.04111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70185bc93f8fb3b37bbe3d96745ef1803449117ffbe7aef3f8b2876d3f59496e","sha256:420e51cd6d0b4766479bf50dc5f9a4ac1199798a811eafabed10727001a7067a"],"state_sha256":"e8bbe09804bae8d7b37eb652d00f46ef13a35c3a71b99e83f24d0549880f26a4"}