{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JXS47AIJ36Z7CFI6QELKGBIPQ6","short_pith_number":"pith:JXS47AIJ","canonical_record":{"source":{"id":"1202.4801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-02-22T00:34:37Z","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"title_canon_sha256":"91c9dc3059f59681b8e786800397ada89bcf1f8c203a117fd510a7c02364b587","abstract_canon_sha256":"6ec1e2d808873ef5dea9c1283b0ed2192d0d2f0285711298b8fef2c3ac2d93df"},"schema_version":"1.0"},"canonical_sha256":"4de5cf8109dfb3f1151e8116a3050f87a16579a8646134ba990d12aeeb0f4230","source":{"kind":"arxiv","id":"1202.4801","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4801","created_at":"2026-05-18T04:01:40Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4801v1","created_at":"2026-05-18T04:01:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4801","created_at":"2026-05-18T04:01:40Z"},{"alias_kind":"pith_short_12","alias_value":"JXS47AIJ36Z7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JXS47AIJ36Z7CFI6","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JXS47AIJ","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JXS47AIJ36Z7CFI6QELKGBIPQ6","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-02-22T00:34:37Z","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"title_canon_sha256":"91c9dc3059f59681b8e786800397ada89bcf1f8c203a117fd510a7c02364b587","abstract_canon_sha256":"6ec1e2d808873ef5dea9c1283b0ed2192d0d2f0285711298b8fef2c3ac2d93df"},"schema_version":"1.0"},"canonical_sha256":"4de5cf8109dfb3f1151e8116a3050f87a16579a8646134ba990d12aeeb0f4230","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:40.682172Z","signature_b64":"U32kakXM5+I1rRipgpBK8sGKEltlQ0Tv0iUWxjf2JEdlBBwCCCiTpov/Jm+nPpV2xrvxcOveFS0JuAEkIzoeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4de5cf8109dfb3f1151e8116a3050f87a16579a8646134ba990d12aeeb0f4230","last_reissued_at":"2026-05-18T04:01:40.681473Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:40.681473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4801","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":"2026-05-18T04:01:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t25UJlf3eFnpu3ZJLxyJkjYL9WlxgHIzWjAi08uZeCCTYKpYpK4fgRWrXD4NZ8JfnVkLTaTf8qoldvJJu7V+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:59:43.126948Z"},"content_sha256":"d046a11b21c882fe1ae377129eec9411180a7f513392bf071b62399fcb95c2cf","schema_version":"1.0","event_id":"sha256:d046a11b21c882fe1ae377129eec9411180a7f513392bf071b62399fcb95c2cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JXS47AIJ36Z7CFI6QELKGBIPQ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling laws for the non-linear coupling constant of a Bose-Einstein condensate at the threshold of delocalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","nlin.PS"],"primary_cat":"physics.atom-ph","authors_text":"B. D. Esry, M. W. J. Bromley, R. Cabrera-Trujillo","submitted_at":"2012-02-22T00:34:37Z","abstract_excerpt":"We explore the localization of a quasi-one-, quasi-two-, and three-dimensional ultra-cold gas by a finite-range defect along the corresponding 'free'-direction/s. The time-independent non-linear Schroedinger equation that describes a Bose-Einstein condensate was used to calculate the maximum non-linear coupling constant, g_max, and thus the maximum number of atoms, N_max, that the defect potential can localize. An analytical model, based on the Thomas-Fermi approximation, is introduced for the wavefunction. We show that g_max becomes a function of R_0 sqrt(V_0) for various one-, two-, and thre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4801","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":"2026-05-18T04:01:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3BSlEY/5WLntROdp0Zrvw6PyzbVHayaopVkQIlOFVpoieVjWBf5JSC6B86oaF2qxBUx01Xg1T2dBRErngoSRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:59:43.127674Z"},"content_sha256":"da0f8ab7ab4e42052193e904fa1a9adf6935fd02802ac7a6c45ee46e2aad0179","schema_version":"1.0","event_id":"sha256:da0f8ab7ab4e42052193e904fa1a9adf6935fd02802ac7a6c45ee46e2aad0179"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JXS47AIJ36Z7CFI6QELKGBIPQ6/bundle.json","state_url":"https://pith.science/pith/JXS47AIJ36Z7CFI6QELKGBIPQ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JXS47AIJ36Z7CFI6QELKGBIPQ6/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":"2026-05-31T12:59:43Z","links":{"resolver":"https://pith.science/pith/JXS47AIJ36Z7CFI6QELKGBIPQ6","bundle":"https://pith.science/pith/JXS47AIJ36Z7CFI6QELKGBIPQ6/bundle.json","state":"https://pith.science/pith/JXS47AIJ36Z7CFI6QELKGBIPQ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JXS47AIJ36Z7CFI6QELKGBIPQ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JXS47AIJ36Z7CFI6QELKGBIPQ6","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":"6ec1e2d808873ef5dea9c1283b0ed2192d0d2f0285711298b8fef2c3ac2d93df","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-02-22T00:34:37Z","title_canon_sha256":"91c9dc3059f59681b8e786800397ada89bcf1f8c203a117fd510a7c02364b587"},"schema_version":"1.0","source":{"id":"1202.4801","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4801","created_at":"2026-05-18T04:01:40Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4801v1","created_at":"2026-05-18T04:01:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4801","created_at":"2026-05-18T04:01:40Z"},{"alias_kind":"pith_short_12","alias_value":"JXS47AIJ36Z7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JXS47AIJ36Z7CFI6","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JXS47AIJ","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:da0f8ab7ab4e42052193e904fa1a9adf6935fd02802ac7a6c45ee46e2aad0179","target":"graph","created_at":"2026-05-18T04:01:40Z","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 explore the localization of a quasi-one-, quasi-two-, and three-dimensional ultra-cold gas by a finite-range defect along the corresponding 'free'-direction/s. The time-independent non-linear Schroedinger equation that describes a Bose-Einstein condensate was used to calculate the maximum non-linear coupling constant, g_max, and thus the maximum number of atoms, N_max, that the defect potential can localize. An analytical model, based on the Thomas-Fermi approximation, is introduced for the wavefunction. We show that g_max becomes a function of R_0 sqrt(V_0) for various one-, two-, and thre","authors_text":"B. D. Esry, M. W. J. Bromley, R. Cabrera-Trujillo","cross_cats":["cond-mat.quant-gas","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-02-22T00:34:37Z","title":"Scaling laws for the non-linear coupling constant of a Bose-Einstein condensate at the threshold of delocalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4801","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:d046a11b21c882fe1ae377129eec9411180a7f513392bf071b62399fcb95c2cf","target":"record","created_at":"2026-05-18T04:01:40Z","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":"6ec1e2d808873ef5dea9c1283b0ed2192d0d2f0285711298b8fef2c3ac2d93df","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-02-22T00:34:37Z","title_canon_sha256":"91c9dc3059f59681b8e786800397ada89bcf1f8c203a117fd510a7c02364b587"},"schema_version":"1.0","source":{"id":"1202.4801","kind":"arxiv","version":1}},"canonical_sha256":"4de5cf8109dfb3f1151e8116a3050f87a16579a8646134ba990d12aeeb0f4230","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4de5cf8109dfb3f1151e8116a3050f87a16579a8646134ba990d12aeeb0f4230","first_computed_at":"2026-05-18T04:01:40.681473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:40.681473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U32kakXM5+I1rRipgpBK8sGKEltlQ0Tv0iUWxjf2JEdlBBwCCCiTpov/Jm+nPpV2xrvxcOveFS0JuAEkIzoeBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:40.682172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4801","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d046a11b21c882fe1ae377129eec9411180a7f513392bf071b62399fcb95c2cf","sha256:da0f8ab7ab4e42052193e904fa1a9adf6935fd02802ac7a6c45ee46e2aad0179"],"state_sha256":"0978fb4c40fe5da6e882bf6d50bd79936a8321a147bb2e8823970c318a5acc8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EfD9Yczrn41FpW8mXzR0CS1NBDjRQeCK/QNG4AHCYCXIoo1S3Ilbw5q9zzyjU9MYFudm3pte+6tvJNRvHFRRCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:59:43.131223Z","bundle_sha256":"1e2818637a05d7a9f6717bedd718f6557288d783626a16b75f456ae0aaebb9ac"}}