{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ERII6L2KMNRZMQNMEZ5R6CWWAA","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":"a0217d659076f415ae7f23a2515334f3fd81a5907c72a1c93d9d9ac6a62e4d0c","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-09-10T01:25:33Z","title_canon_sha256":"5677ae2257d931450004cee4221944e5dc7bbafbb282fdc23a525a1e69398866"},"schema_version":"1.0","source":{"id":"1009.1918","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1918","created_at":"2026-05-18T02:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1918v1","created_at":"2026-05-18T02:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1918","created_at":"2026-05-18T02:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"ERII6L2KMNRZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"ERII6L2KMNRZMQNM","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"ERII6L2K","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:f77aa51a8db2173d3c066d3585aba4950bfd190ac8dbd627cd371c771ebdf165","target":"graph","created_at":"2026-05-18T02:05:32Z","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 examine the zero-range limit of the finite square well in arbitrary dimensions through a systematic analysis of the reduced, s-wave two-body time-independent Schr\\\"odinger equation. A natural consequence of our investigation is the requirement of a delta-function multiplied by a regularization operator to model the zero-range limit of the finite-square well when the dimensionality is greater than one. The case of two dimensions turns out to be surprisingly subtle, and needs to be treated separately from all other dimensions.","authors_text":"Aaron Farrell, Brandon P. van Zyl","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-09-10T01:25:33Z","title":"s-wave scattering and the zero-range limit of the finite square well in arbitrary dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1918","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:efdbe6aa22fbfef0441d944e7484daf1feaa71e2242078d326c97aebc38e1b26","target":"record","created_at":"2026-05-18T02:05:32Z","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":"a0217d659076f415ae7f23a2515334f3fd81a5907c72a1c93d9d9ac6a62e4d0c","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-09-10T01:25:33Z","title_canon_sha256":"5677ae2257d931450004cee4221944e5dc7bbafbb282fdc23a525a1e69398866"},"schema_version":"1.0","source":{"id":"1009.1918","kind":"arxiv","version":1}},"canonical_sha256":"24508f2f4a63639641ac267b1f0ad60025181e64a1e63bf9f21bd5ec06c69aa7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24508f2f4a63639641ac267b1f0ad60025181e64a1e63bf9f21bd5ec06c69aa7","first_computed_at":"2026-05-18T02:05:32.288781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:32.288781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ztl2j9lzfrR0CD9yUFBQGkvbQ6yx88g51uyBgcePsWfK+qGaD6vx6xHKdargAxvMY2t8GNPwbASzvinbotpeDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:32.289577Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1918","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efdbe6aa22fbfef0441d944e7484daf1feaa71e2242078d326c97aebc38e1b26","sha256:f77aa51a8db2173d3c066d3585aba4950bfd190ac8dbd627cd371c771ebdf165"],"state_sha256":"70a665886361ec63052c6a0a7cd287bd79fd32eb9eac239b786c4d2b8e970543"}