{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:LXD7ZGV6IS4ZKPF2RN65AU2GNF","short_pith_number":"pith:LXD7ZGV6","canonical_record":{"source":{"id":"cond-mat/0006410","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-06-27T03:01:09Z","cross_cats_sorted":[],"title_canon_sha256":"510d30e7071f454d7f01b11e49078c26ed87f325a3b9b4707685e5652e68bcbf","abstract_canon_sha256":"85eb8af4a17df12db741844ea517b9e6c7c2c8fca259ec8d07d62506ea615eab"},"schema_version":"1.0"},"canonical_sha256":"5dc7fc9abe44b9953cba8b7dd0534669524bc6618151febfcc22a99509e4e1a1","source":{"kind":"arxiv","id":"cond-mat/0006410","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0006410","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0006410v2","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0006410","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"pith_short_12","alias_value":"LXD7ZGV6IS4Z","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"pith_short_16","alias_value":"LXD7ZGV6IS4ZKPF2","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"pith_short_8","alias_value":"LXD7ZGV6","created_at":"2026-07-04T16:18:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:LXD7ZGV6IS4ZKPF2RN65AU2GNF","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0006410","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-06-27T03:01:09Z","cross_cats_sorted":[],"title_canon_sha256":"510d30e7071f454d7f01b11e49078c26ed87f325a3b9b4707685e5652e68bcbf","abstract_canon_sha256":"85eb8af4a17df12db741844ea517b9e6c7c2c8fca259ec8d07d62506ea615eab"},"schema_version":"1.0"},"canonical_sha256":"5dc7fc9abe44b9953cba8b7dd0534669524bc6618151febfcc22a99509e4e1a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:18:44.327031Z","signature_b64":"BnLWzZCyZljeXvs161mVuP92YqpIY1vZKbAfTocpao+l5B5oXMgt1SjGX2dM4Qf7ci7C9HVThUScSHSBlwlVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dc7fc9abe44b9953cba8b7dd0534669524bc6618151febfcc22a99509e4e1a1","last_reissued_at":"2026-07-04T16:18:44.326528Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:18:44.326528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0006410","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:18:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x+2bNbSsonwzNQp8uNFeLzWzTm2JJQ8wfILnEq4XreDhtZ18VTYzEfM0Ja13/9ZOFUmZpCgUVdnBL5VQyzy9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:22:22.244418Z"},"content_sha256":"d5cba65cd36f8bcd60b8d7369030ba03b3f56466daa4512bf94999e9e0ad174b","schema_version":"1.0","event_id":"sha256:d5cba65cd36f8bcd60b8d7369030ba03b3f56466daa4512bf94999e9e0ad174b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:LXD7ZGV6IS4ZKPF2RN65AU2GNF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Power laws and collapsing dynamics of a trapped Bose-Einstein condensate with attractive interactions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Hiroki Saito, Masahito Ueda","submitted_at":"2000-06-27T03:01:09Z","abstract_excerpt":"The critical behavior of collective modes and the collapsing dynamics of trapped Bose-Einstein condensates with attractive interactions are studied analytically and numerically. The time scales of these dynamics both below and above the critical point of the collapse are found to obey power laws with a single parameter of N/N_c - 1, where N is the number of condensate atoms and N_c is the critical number. The collapsing condensate eventually undergoes rapid implosion, which occurs several times intermittently, and then the implosion turns to an explosion. The release energy of the explosion is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0006410","kind":"arxiv","version":2},"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/cond-mat/0006410/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":"2026-07-04T16:18:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P5nFEekj0fqEeaFfYaJwt9ovFTIeKnAOM2Eg5aWIhc0iWg/lRREGZQN7RruqpUH0E6XsWY3T4gSJkFdGPvjdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:22:22.244948Z"},"content_sha256":"a1b2f321049cf1fd8ee628a90cffc8a5ebd1b43c68fda878da06150502627a2a","schema_version":"1.0","event_id":"sha256:a1b2f321049cf1fd8ee628a90cffc8a5ebd1b43c68fda878da06150502627a2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXD7ZGV6IS4ZKPF2RN65AU2GNF/bundle.json","state_url":"https://pith.science/pith/LXD7ZGV6IS4ZKPF2RN65AU2GNF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXD7ZGV6IS4ZKPF2RN65AU2GNF/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":"2026-08-11T08:22:22Z","links":{"resolver":"https://pith.science/pith/LXD7ZGV6IS4ZKPF2RN65AU2GNF","bundle":"https://pith.science/pith/LXD7ZGV6IS4ZKPF2RN65AU2GNF/bundle.json","state":"https://pith.science/pith/LXD7ZGV6IS4ZKPF2RN65AU2GNF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXD7ZGV6IS4ZKPF2RN65AU2GNF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:LXD7ZGV6IS4ZKPF2RN65AU2GNF","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":"85eb8af4a17df12db741844ea517b9e6c7c2c8fca259ec8d07d62506ea615eab","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-06-27T03:01:09Z","title_canon_sha256":"510d30e7071f454d7f01b11e49078c26ed87f325a3b9b4707685e5652e68bcbf"},"schema_version":"1.0","source":{"id":"cond-mat/0006410","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0006410","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0006410v2","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0006410","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"pith_short_12","alias_value":"LXD7ZGV6IS4Z","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"pith_short_16","alias_value":"LXD7ZGV6IS4ZKPF2","created_at":"2026-07-04T16:18:44Z"},{"alias_kind":"pith_short_8","alias_value":"LXD7ZGV6","created_at":"2026-07-04T16:18:44Z"}],"graph_snapshots":[{"event_id":"sha256:a1b2f321049cf1fd8ee628a90cffc8a5ebd1b43c68fda878da06150502627a2a","target":"graph","created_at":"2026-07-04T16:18:44Z","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/cond-mat/0006410/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The critical behavior of collective modes and the collapsing dynamics of trapped Bose-Einstein condensates with attractive interactions are studied analytically and numerically. The time scales of these dynamics both below and above the critical point of the collapse are found to obey power laws with a single parameter of N/N_c - 1, where N is the number of condensate atoms and N_c is the critical number. The collapsing condensate eventually undergoes rapid implosion, which occurs several times intermittently, and then the implosion turns to an explosion. The release energy of the explosion is","authors_text":"Hiroki Saito, Masahito Ueda","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2000-06-27T03:01:09Z","title":"Power laws and collapsing dynamics of a trapped Bose-Einstein condensate with attractive interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0006410","kind":"arxiv","version":2},"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:d5cba65cd36f8bcd60b8d7369030ba03b3f56466daa4512bf94999e9e0ad174b","target":"record","created_at":"2026-07-04T16:18:44Z","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":"85eb8af4a17df12db741844ea517b9e6c7c2c8fca259ec8d07d62506ea615eab","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-06-27T03:01:09Z","title_canon_sha256":"510d30e7071f454d7f01b11e49078c26ed87f325a3b9b4707685e5652e68bcbf"},"schema_version":"1.0","source":{"id":"cond-mat/0006410","kind":"arxiv","version":2}},"canonical_sha256":"5dc7fc9abe44b9953cba8b7dd0534669524bc6618151febfcc22a99509e4e1a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dc7fc9abe44b9953cba8b7dd0534669524bc6618151febfcc22a99509e4e1a1","first_computed_at":"2026-07-04T16:18:44.326528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:18:44.326528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BnLWzZCyZljeXvs161mVuP92YqpIY1vZKbAfTocpao+l5B5oXMgt1SjGX2dM4Qf7ci7C9HVThUScSHSBlwlVCA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:18:44.327031Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0006410","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5cba65cd36f8bcd60b8d7369030ba03b3f56466daa4512bf94999e9e0ad174b","sha256:a1b2f321049cf1fd8ee628a90cffc8a5ebd1b43c68fda878da06150502627a2a"],"state_sha256":"b139edfd5ebdecfbd69f60d907fc2e4f14cc58a0b2a7f9950761016c3d572946"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CeIosQ7likET4IlPpYPJ75DLPTTqL75ku5DTyIeyZA2SFTXbgEjvoK8ah6+d7NzgTPT3Vhp+frQR5XVZjmOBBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T08:22:22.249717Z","bundle_sha256":"99d74acfe9666c5a96dff99cc72fc9f7cfa76c2cd9bf40658986667e90ef22ec"}}