{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DJED4FK2CO2B7OFDWV46OSXDAM","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":"be055c6ef2f9e56cb2691f9113c007b389971fff17e0ecf3d8eacb43fd0c9a27","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-06-18T15:00:26Z","title_canon_sha256":"855e1a8a610b9dfb79f488a1186f6ecc8e1339a0c22abc1b7c020b2da00f070a"},"schema_version":"1.0","source":{"id":"1806.07269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07269","created_at":"2026-05-18T00:12:51Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07269v1","created_at":"2026-05-18T00:12:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07269","created_at":"2026-05-18T00:12:51Z"},{"alias_kind":"pith_short_12","alias_value":"DJED4FK2CO2B","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DJED4FK2CO2B7OFD","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DJED4FK2","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:718c9a43644f123af3e4fd3c6649f51db54aac89dc1dd6fcbe0f2195773cdadf","target":"graph","created_at":"2026-05-18T00:12:51Z","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"},"paper":{"abstract_excerpt":"We discuss some examples of equations of the three-body problem with the oscillating asymptotics at large momentum: (i) the fixed-center approximation, (ii) the unitarized equation in the fixed-center approximation, (iii) Skornyakov--Ter-Martirosyan equation, and (iv) equations with operators used in the effective field theory, i.e., which can be expanded in power-series with positive powers of momentum. We show that in the aforementioned three-body problems the situation analogous to the falling down to the center in the two-body problem takes place -- there appears an infinite number of boun","authors_text":"Alexander E. Kudryavtsev, Alexander I. Romanov","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-06-18T15:00:26Z","title":"Collapse to the Center and Ambiguity in the Asymptotic Behavior of the Off-Shell Scattering Amplitude in Singular Three-Body Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07269","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:ded71464e3c16c668d65cfe01e724288ef8e5e5431b15eeac6c09ca8b89cf223","target":"record","created_at":"2026-05-18T00:12:51Z","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":"be055c6ef2f9e56cb2691f9113c007b389971fff17e0ecf3d8eacb43fd0c9a27","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-06-18T15:00:26Z","title_canon_sha256":"855e1a8a610b9dfb79f488a1186f6ecc8e1339a0c22abc1b7c020b2da00f070a"},"schema_version":"1.0","source":{"id":"1806.07269","kind":"arxiv","version":1}},"canonical_sha256":"1a483e155a13b41fb8a3b579e74ae3032b320b96a23fc559da84183aea150bf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a483e155a13b41fb8a3b579e74ae3032b320b96a23fc559da84183aea150bf3","first_computed_at":"2026-05-18T00:12:51.439668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:51.439668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dbG4iSohMRJseofugAIWZLdx2yzbzl3nS5LecTrELydWryZAoTTFEcqJ2Vu6JSeNaY+z+CfVsT3V4WdkfRoLDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:51.440130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.07269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ded71464e3c16c668d65cfe01e724288ef8e5e5431b15eeac6c09ca8b89cf223","sha256:718c9a43644f123af3e4fd3c6649f51db54aac89dc1dd6fcbe0f2195773cdadf"],"state_sha256":"942dd11f5a3334c1240db3c10ca2537917200070e576f77b136db6dbbc85a09b"}