{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:WOFYP4TKJ4KV7OCVILHEVPFVO6","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":"9d3184a4575233af94b4970a6da01dbb2cd11b6041409ea7b92498e5eb1bedb6","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-10-23T14:04:59Z","title_canon_sha256":"ed21a0a830fc621a13306810f8ae23aef3ef439d78a27437953a62e50c25a49b"},"schema_version":"1.0","source":{"id":"0710.4257","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.4257","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"arxiv_version","alias_value":"0710.4257v1","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.4257","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"pith_short_12","alias_value":"WOFYP4TKJ4KV","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"WOFYP4TKJ4KV7OCV","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"WOFYP4TK","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:4455615b8fadd9e152f81487ba1ff5e740acb08a1b1bb8d66b63e1e01abdc327","target":"graph","created_at":"2026-05-18T04:36:50Z","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 develop a pairing mean-field theory to describe the quantum dynamics of the dissociation of molecular Bose-Einstein condensates into their constituent bosonic or fermionic atoms. We apply the theory to one, two, and three-dimensional geometries and analyze the role of dimensionality on the atom production rate as a function of the dissociation energy. As well as determining the populations and coherences of the atoms, we calculate the correlations that exist between atoms of opposite momenta, including the column density correlations in 3D systems. We compare the results with those of the u","authors_text":"K. V. Kheruntsyan, M. J. Davis, M. K. Olsen, S. J. Thwaite","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2007-10-23T14:04:59Z","title":"Pairing mean-field theory for the dynamics of dissociation of molecular Bose-Einstein condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4257","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":"sha256:40671e787ea92d05864953799e447273f3d1ec391c6d2dab1e6b5a1eda1fe294","target":"record","created_at":"2026-05-18T04:36:50Z","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":"9d3184a4575233af94b4970a6da01dbb2cd11b6041409ea7b92498e5eb1bedb6","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-10-23T14:04:59Z","title_canon_sha256":"ed21a0a830fc621a13306810f8ae23aef3ef439d78a27437953a62e50c25a49b"},"schema_version":"1.0","source":{"id":"0710.4257","kind":"arxiv","version":1}},"canonical_sha256":"b38b87f26a4f155fb85542ce4abcb577ac00d6830ec323f728da204d25398c16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b38b87f26a4f155fb85542ce4abcb577ac00d6830ec323f728da204d25398c16","first_computed_at":"2026-05-18T04:36:50.573241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:50.573241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+UfDBzv6ltiZ8RjJ3vCt0sY9FRolC8JlDr597SCSS7bAhE/17lzBjRVuPBtvuAHGqtr0LMUbdEP6BxzuC5GGDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:50.573665Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.4257","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40671e787ea92d05864953799e447273f3d1ec391c6d2dab1e6b5a1eda1fe294","sha256:4455615b8fadd9e152f81487ba1ff5e740acb08a1b1bb8d66b63e1e01abdc327"],"state_sha256":"ab930db08f20b6e247de7ef21c98cf3bb989724d12e4f35ed7a5dda5f12a4b92"}