{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:T6PNXDEEONZDC55NYBXPFOUU5A","short_pith_number":"pith:T6PNXDEE","canonical_record":{"source":{"id":"1810.12242","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-29T16:40:53Z","cross_cats_sorted":["cond-mat.quant-gas","hep-th","nucl-th","quant-ph"],"title_canon_sha256":"f4f8d9e6b919431484faf4aa4ebb8b808e5a9cc055552c0ebcdcadf5df88fd28","abstract_canon_sha256":"47489deb8e1ea1cd7bef8aa3b81a8f0d71dead56351d2a1b185719fcf5c550e4"},"schema_version":"1.0"},"canonical_sha256":"9f9edb8c8473723177adc06ef2ba94e80124505f25bf9d95fe6514cb31108f6c","source":{"kind":"arxiv","id":"1810.12242","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.12242","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"arxiv_version","alias_value":"1810.12242v1","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12242","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"pith_short_12","alias_value":"T6PNXDEEONZD","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"T6PNXDEEONZDC55N","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"T6PNXDEE","created_at":"2026-07-05T00:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:T6PNXDEEONZDC55NYBXPFOUU5A","target":"record","payload":{"canonical_record":{"source":{"id":"1810.12242","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-29T16:40:53Z","cross_cats_sorted":["cond-mat.quant-gas","hep-th","nucl-th","quant-ph"],"title_canon_sha256":"f4f8d9e6b919431484faf4aa4ebb8b808e5a9cc055552c0ebcdcadf5df88fd28","abstract_canon_sha256":"47489deb8e1ea1cd7bef8aa3b81a8f0d71dead56351d2a1b185719fcf5c550e4"},"schema_version":"1.0"},"canonical_sha256":"9f9edb8c8473723177adc06ef2ba94e80124505f25bf9d95fe6514cb31108f6c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:30:53.345619Z","signature_b64":"6pN+a9YqqL8yZMTEPGfa/A/7fidTo3V8DHtIzsfcmOIWHKvXSBCklSnaUhSiuftDAbc/384YgAAaW65YYoiGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f9edb8c8473723177adc06ef2ba94e80124505f25bf9d95fe6514cb31108f6c","last_reissued_at":"2026-07-05T00:30:53.345181Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:30:53.345181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.12242","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:30:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BklwsU6SgsPncRmbi7cozbUu99ZEegMxu2hiAHNqbBUKXO3YRpdDoqaztw7ItpSQRE9YY+5/vA9XRaaBBiF9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:53:21.331556Z"},"content_sha256":"01acbe5d5a6003de20d9e1de9ad76ba860e1eba5f7ec75f011a9a36bd5e9504c","schema_version":"1.0","event_id":"sha256:01acbe5d5a6003de20d9e1de9ad76ba860e1eba5f7ec75f011a9a36bd5e9504c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:T6PNXDEEONZDC55NYBXPFOUU5A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The exact discontinuity of a partial wave along the left-hand cut and the exact $N/D$ method in non-relativistic scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","hep-th","nucl-th","quant-ph"],"primary_cat":"hep-ph","authors_text":"D. R. Entem, J. A. Oller","submitted_at":"2018-10-29T16:40:53Z","abstract_excerpt":"We first deduce the analytical continuation in the complex planes of the initial and final three-momenta of the Lippmann-Schwinger equation in coupled or uncoupled partial-wave amplitudes. This result allows us to deduce a master equation whose solution is the exact discontinuity of the on-shell partial-wave amplitudes along the left-hand cut. This equation is always a linear non-singular integral equation whose solution is fixed exclusively by the knowledge of the potential, applicable to either regular or singular potentials. The capability of calculating exactly this discontinuity allows on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12242","kind":"arxiv","version":1},"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/1810.12242/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:30:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OZoeuZbAWTUAN9yHouGsxV4Bm7pNYt8OK6cD3DFsAmcgWsu6Za+9gcFoK+x0rrBjgp4PdvLhwpCbh+BInd8zAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:53:21.332028Z"},"content_sha256":"0e6275d2f09c6f2a53b1a92c76032858058074450f08200209a714ea570db158","schema_version":"1.0","event_id":"sha256:0e6275d2f09c6f2a53b1a92c76032858058074450f08200209a714ea570db158"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T6PNXDEEONZDC55NYBXPFOUU5A/bundle.json","state_url":"https://pith.science/pith/T6PNXDEEONZDC55NYBXPFOUU5A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T6PNXDEEONZDC55NYBXPFOUU5A/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-05T14:53:21Z","links":{"resolver":"https://pith.science/pith/T6PNXDEEONZDC55NYBXPFOUU5A","bundle":"https://pith.science/pith/T6PNXDEEONZDC55NYBXPFOUU5A/bundle.json","state":"https://pith.science/pith/T6PNXDEEONZDC55NYBXPFOUU5A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T6PNXDEEONZDC55NYBXPFOUU5A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:T6PNXDEEONZDC55NYBXPFOUU5A","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":"47489deb8e1ea1cd7bef8aa3b81a8f0d71dead56351d2a1b185719fcf5c550e4","cross_cats_sorted":["cond-mat.quant-gas","hep-th","nucl-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-29T16:40:53Z","title_canon_sha256":"f4f8d9e6b919431484faf4aa4ebb8b808e5a9cc055552c0ebcdcadf5df88fd28"},"schema_version":"1.0","source":{"id":"1810.12242","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.12242","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"arxiv_version","alias_value":"1810.12242v1","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12242","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"pith_short_12","alias_value":"T6PNXDEEONZD","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"T6PNXDEEONZDC55N","created_at":"2026-07-05T00:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"T6PNXDEE","created_at":"2026-07-05T00:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:0e6275d2f09c6f2a53b1a92c76032858058074450f08200209a714ea570db158","target":"graph","created_at":"2026-07-05T00:30:53Z","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/1810.12242/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We first deduce the analytical continuation in the complex planes of the initial and final three-momenta of the Lippmann-Schwinger equation in coupled or uncoupled partial-wave amplitudes. This result allows us to deduce a master equation whose solution is the exact discontinuity of the on-shell partial-wave amplitudes along the left-hand cut. This equation is always a linear non-singular integral equation whose solution is fixed exclusively by the knowledge of the potential, applicable to either regular or singular potentials. The capability of calculating exactly this discontinuity allows on","authors_text":"D. R. Entem, J. A. Oller","cross_cats":["cond-mat.quant-gas","hep-th","nucl-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-29T16:40:53Z","title":"The exact discontinuity of a partial wave along the left-hand cut and the exact $N/D$ method in non-relativistic scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12242","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":"sha256:01acbe5d5a6003de20d9e1de9ad76ba860e1eba5f7ec75f011a9a36bd5e9504c","target":"record","created_at":"2026-07-05T00:30:53Z","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":"47489deb8e1ea1cd7bef8aa3b81a8f0d71dead56351d2a1b185719fcf5c550e4","cross_cats_sorted":["cond-mat.quant-gas","hep-th","nucl-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-29T16:40:53Z","title_canon_sha256":"f4f8d9e6b919431484faf4aa4ebb8b808e5a9cc055552c0ebcdcadf5df88fd28"},"schema_version":"1.0","source":{"id":"1810.12242","kind":"arxiv","version":1}},"canonical_sha256":"9f9edb8c8473723177adc06ef2ba94e80124505f25bf9d95fe6514cb31108f6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f9edb8c8473723177adc06ef2ba94e80124505f25bf9d95fe6514cb31108f6c","first_computed_at":"2026-07-05T00:30:53.345181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:30:53.345181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6pN+a9YqqL8yZMTEPGfa/A/7fidTo3V8DHtIzsfcmOIWHKvXSBCklSnaUhSiuftDAbc/384YgAAaW65YYoiGBg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:30:53.345619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.12242","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01acbe5d5a6003de20d9e1de9ad76ba860e1eba5f7ec75f011a9a36bd5e9504c","sha256:0e6275d2f09c6f2a53b1a92c76032858058074450f08200209a714ea570db158"],"state_sha256":"ea3ceff3a3a840f6fe7b9ea31042b484d3f167a79c8f6db57ae11120d4c3c5d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7BFZWnnKYxIVOIWrb0PQ8dUFhmRQK2aPWTjlwpx5VEDab6IKFdp3kJ9MtavyH9k2jzFdZ8pdVsDfA3m3P63eBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T14:53:21.334977Z","bundle_sha256":"cb7e006e237f22249a2fd483d9fbec4116e47d54aac05434de4eb559cd81f7a0"}}