{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:R3UWWJJXPBBXMLKAZAI4DUSXVQ","short_pith_number":"pith:R3UWWJJX","canonical_record":{"source":{"id":"1806.07600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-06-20T08:06:22Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"e26cb1ad3db0a2d33e7a4da8af11ce95bef179133dc4442df8fe9b0965782854","abstract_canon_sha256":"2f513032fd77ca516dd24c51a60d49e4330bfa225c97a133343c0dca9ead655a"},"schema_version":"1.0"},"canonical_sha256":"8ee96b25377843762d40c811c1d257ac2ded1d3d2758dc158dfa9891493eb21b","source":{"kind":"arxiv","id":"1806.07600","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07600","created_at":"2026-05-17T23:55:14Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07600v1","created_at":"2026-05-17T23:55:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07600","created_at":"2026-05-17T23:55:14Z"},{"alias_kind":"pith_short_12","alias_value":"R3UWWJJXPBBX","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"R3UWWJJXPBBXMLKA","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"R3UWWJJX","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:R3UWWJJXPBBXMLKAZAI4DUSXVQ","target":"record","payload":{"canonical_record":{"source":{"id":"1806.07600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-06-20T08:06:22Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"e26cb1ad3db0a2d33e7a4da8af11ce95bef179133dc4442df8fe9b0965782854","abstract_canon_sha256":"2f513032fd77ca516dd24c51a60d49e4330bfa225c97a133343c0dca9ead655a"},"schema_version":"1.0"},"canonical_sha256":"8ee96b25377843762d40c811c1d257ac2ded1d3d2758dc158dfa9891493eb21b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:14.324861Z","signature_b64":"+cFYuopyU/i/uD0aPjUVw+hNP5R/rswdaNeNnaAiZS/DXl3eDErwtAg5gAqYNp3lRc3h8kWKeKJp+jLCfOAoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ee96b25377843762d40c811c1d257ac2ded1d3d2758dc158dfa9891493eb21b","last_reissued_at":"2026-05-17T23:55:14.324198Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:14.324198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.07600","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":"2026-05-17T23:55:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IhWT6JBVaulFjcDLrzp3cWFyA+V8Z3LkIPYSJWnNXvORBxK/0WmWl+RZKzgxfSb3tpdP2MGMHswoZTZ23+PpAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:11:59.575219Z"},"content_sha256":"45d42d2dfc25afa471c7349ec790901e62125c0687bcd6f9bc4310d5f834e68d","schema_version":"1.0","event_id":"sha256:45d42d2dfc25afa471c7349ec790901e62125c0687bcd6f9bc4310d5f834e68d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:R3UWWJJXPBBXMLKAZAI4DUSXVQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The three-body pseudo-potential for atoms confined in one dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Ludovic Pricoupenko (LPTMC)","submitted_at":"2018-06-20T08:06:22Z","abstract_excerpt":"Following a strong analogy with two-dimensional physics, the three-body pseudo-potential in one dimension is derived. The Born approximation is then considered in the context of ultracold atoms in a linear harmonic waveguide. In the vicinity of the dimer threshold a direct connection is made between the zero-range potential and the dimensional reduction of the three-body Schr{\\\"o}dinger equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07600","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":""},"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":"2026-05-17T23:55:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q4nGUydOZXjKxp/UcRtJ7pcuqTYkUYlujtKgMvZdOoXcEsehulaESimVexwTXic3hYo/5XTfqNRS/XCZTzl9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:11:59.575922Z"},"content_sha256":"4ba289edc41427ac6ddee57dc7672d3b0a73a17a2aaed98bb5a5f65864cf0ad8","schema_version":"1.0","event_id":"sha256:4ba289edc41427ac6ddee57dc7672d3b0a73a17a2aaed98bb5a5f65864cf0ad8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R3UWWJJXPBBXMLKAZAI4DUSXVQ/bundle.json","state_url":"https://pith.science/pith/R3UWWJJXPBBXMLKAZAI4DUSXVQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R3UWWJJXPBBXMLKAZAI4DUSXVQ/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":"2026-06-07T06:11:59Z","links":{"resolver":"https://pith.science/pith/R3UWWJJXPBBXMLKAZAI4DUSXVQ","bundle":"https://pith.science/pith/R3UWWJJXPBBXMLKAZAI4DUSXVQ/bundle.json","state":"https://pith.science/pith/R3UWWJJXPBBXMLKAZAI4DUSXVQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R3UWWJJXPBBXMLKAZAI4DUSXVQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:R3UWWJJXPBBXMLKAZAI4DUSXVQ","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":"2f513032fd77ca516dd24c51a60d49e4330bfa225c97a133343c0dca9ead655a","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-06-20T08:06:22Z","title_canon_sha256":"e26cb1ad3db0a2d33e7a4da8af11ce95bef179133dc4442df8fe9b0965782854"},"schema_version":"1.0","source":{"id":"1806.07600","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07600","created_at":"2026-05-17T23:55:14Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07600v1","created_at":"2026-05-17T23:55:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07600","created_at":"2026-05-17T23:55:14Z"},{"alias_kind":"pith_short_12","alias_value":"R3UWWJJXPBBX","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"R3UWWJJXPBBXMLKA","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"R3UWWJJX","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:4ba289edc41427ac6ddee57dc7672d3b0a73a17a2aaed98bb5a5f65864cf0ad8","target":"graph","created_at":"2026-05-17T23:55:14Z","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":"Following a strong analogy with two-dimensional physics, the three-body pseudo-potential in one dimension is derived. The Born approximation is then considered in the context of ultracold atoms in a linear harmonic waveguide. In the vicinity of the dimer threshold a direct connection is made between the zero-range potential and the dimensional reduction of the three-body Schr{\\\"o}dinger equation.","authors_text":"Ludovic Pricoupenko (LPTMC)","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-06-20T08:06:22Z","title":"The three-body pseudo-potential for atoms confined in one dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07600","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":"sha256:45d42d2dfc25afa471c7349ec790901e62125c0687bcd6f9bc4310d5f834e68d","target":"record","created_at":"2026-05-17T23:55:14Z","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":"2f513032fd77ca516dd24c51a60d49e4330bfa225c97a133343c0dca9ead655a","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-06-20T08:06:22Z","title_canon_sha256":"e26cb1ad3db0a2d33e7a4da8af11ce95bef179133dc4442df8fe9b0965782854"},"schema_version":"1.0","source":{"id":"1806.07600","kind":"arxiv","version":1}},"canonical_sha256":"8ee96b25377843762d40c811c1d257ac2ded1d3d2758dc158dfa9891493eb21b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ee96b25377843762d40c811c1d257ac2ded1d3d2758dc158dfa9891493eb21b","first_computed_at":"2026-05-17T23:55:14.324198Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:14.324198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+cFYuopyU/i/uD0aPjUVw+hNP5R/rswdaNeNnaAiZS/DXl3eDErwtAg5gAqYNp3lRc3h8kWKeKJp+jLCfOAoAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:14.324861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.07600","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45d42d2dfc25afa471c7349ec790901e62125c0687bcd6f9bc4310d5f834e68d","sha256:4ba289edc41427ac6ddee57dc7672d3b0a73a17a2aaed98bb5a5f65864cf0ad8"],"state_sha256":"a803271695a4dbfb652d55c10c3aec46488b0402432068c0ab228481cd728bf5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9WYXU/cltL4ZHbbcf24xfdbeoSlwQUu7ZWrK6YYT81j8Pmld8p1MRLzj6KM10fIN6iu+p2SiJIIjW29RVBqMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T06:11:59.579395Z","bundle_sha256":"09b272375f6aace7983e0a3f69361ab05c17d3fb3fec828ef00f3f3817781aa9"}}