{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:RYL4UDKIFGNFPV3V7ZBXVF6VW4","short_pith_number":"pith:RYL4UDKI","canonical_record":{"source":{"id":"cond-mat/0105525","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-05-28T13:01:55Z","cross_cats_sorted":[],"title_canon_sha256":"239e22b805e044e56844d6bb253bd019fb447be8fe9a1e34d7a3a040a867ad48","abstract_canon_sha256":"d990f46877e44b9ba95bcc6106077b6cb41e36961fa36c66bc668ffbc4161a70"},"schema_version":"1.0"},"canonical_sha256":"8e17ca0d48299a57d775fe437a97d5b725effc1394ebada9ac29d7d3c0313f44","source":{"kind":"arxiv","id":"cond-mat/0105525","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0105525","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0105525v1","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0105525","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"pith_short_12","alias_value":"RYL4UDKIFGNF","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"pith_short_16","alias_value":"RYL4UDKIFGNFPV3V","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"pith_short_8","alias_value":"RYL4UDKI","created_at":"2026-07-04T16:25:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:RYL4UDKIFGNFPV3V7ZBXVF6VW4","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0105525","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-05-28T13:01:55Z","cross_cats_sorted":[],"title_canon_sha256":"239e22b805e044e56844d6bb253bd019fb447be8fe9a1e34d7a3a040a867ad48","abstract_canon_sha256":"d990f46877e44b9ba95bcc6106077b6cb41e36961fa36c66bc668ffbc4161a70"},"schema_version":"1.0"},"canonical_sha256":"8e17ca0d48299a57d775fe437a97d5b725effc1394ebada9ac29d7d3c0313f44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:25:37.399751Z","signature_b64":"nkVPqsogaHcKkmvderMoyEkAkPKWIN5P3IUahUW/72/gNQ7xuoGLm/w9tyTzaV4CiOSy2SCsXzjdTpG679/PBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e17ca0d48299a57d775fe437a97d5b725effc1394ebada9ac29d7d3c0313f44","last_reissued_at":"2026-07-04T16:25:37.399356Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:25:37.399356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0105525","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":"2026-07-04T16:25:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cDcfJV75v0oJ/i9jQJP12zGb3qrbMLwNYcbL0uq8H+qpyEC7fC4w1nBCc16V2IMhpoA9OIJWmCfVit2r5rb6CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T10:32:37.505997Z"},"content_sha256":"842b6d9362abf69cfcb271342c1f7a3d50776007ec6cb8626dc6f748da0dcd88","schema_version":"1.0","event_id":"sha256:842b6d9362abf69cfcb271342c1f7a3d50776007ec6cb8626dc6f748da0dcd88"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:RYL4UDKIFGNFPV3V7ZBXVF6VW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Observation of Phase Fluctuations in Bose-Einstein Condensates","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"D. Hellweg, D. S. Petrov, G. V. Shlyapnikov, H. Kreutzmann, J. J. Arlt, K. Sengstock, L. Santos, M. Lewenstein, P. Ryytty, S. Dettmer, W. Ertmer","submitted_at":"2001-05-28T13:01:55Z","abstract_excerpt":"The occurrence of phase fluctuations due to thermal excitations in Bose-Einstein condensates (BECs) is studied for a variety of temperatures and trap geometries. We observe the statistical nature of the appearence of phase fluctuations and characterize the dependence of their average value on temperature, number of particles and the trapping potential. We find pronounced phase fluctuations for condensates in very elongated traps in a broad temperature range. The results are of great importance for the realization of BEC in quasi 1D geometries, for matter wave interferometry with BECs, as well "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0105525","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0105525/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":"2026-07-04T16:25:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mVRqJIE0y0nfi+cI8BewGG5YRvPWSSk6u4UqK+KJkLXc/QYsPO5Q4sYGEThbi3Ud503gX+4qmYqTKjPF4STTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T10:32:37.506933Z"},"content_sha256":"fe662514f90f24ac2d7d633bf5bf07fe5c2f12912aef896e100f4878fb4c6588","schema_version":"1.0","event_id":"sha256:fe662514f90f24ac2d7d633bf5bf07fe5c2f12912aef896e100f4878fb4c6588"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RYL4UDKIFGNFPV3V7ZBXVF6VW4/bundle.json","state_url":"https://pith.science/pith/RYL4UDKIFGNFPV3V7ZBXVF6VW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RYL4UDKIFGNFPV3V7ZBXVF6VW4/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":"2026-08-05T10:32:37Z","links":{"resolver":"https://pith.science/pith/RYL4UDKIFGNFPV3V7ZBXVF6VW4","bundle":"https://pith.science/pith/RYL4UDKIFGNFPV3V7ZBXVF6VW4/bundle.json","state":"https://pith.science/pith/RYL4UDKIFGNFPV3V7ZBXVF6VW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RYL4UDKIFGNFPV3V7ZBXVF6VW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:RYL4UDKIFGNFPV3V7ZBXVF6VW4","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":"d990f46877e44b9ba95bcc6106077b6cb41e36961fa36c66bc668ffbc4161a70","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-05-28T13:01:55Z","title_canon_sha256":"239e22b805e044e56844d6bb253bd019fb447be8fe9a1e34d7a3a040a867ad48"},"schema_version":"1.0","source":{"id":"cond-mat/0105525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0105525","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0105525v1","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0105525","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"pith_short_12","alias_value":"RYL4UDKIFGNF","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"pith_short_16","alias_value":"RYL4UDKIFGNFPV3V","created_at":"2026-07-04T16:25:37Z"},{"alias_kind":"pith_short_8","alias_value":"RYL4UDKI","created_at":"2026-07-04T16:25:37Z"}],"graph_snapshots":[{"event_id":"sha256:fe662514f90f24ac2d7d633bf5bf07fe5c2f12912aef896e100f4878fb4c6588","target":"graph","created_at":"2026-07-04T16:25:37Z","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/0105525/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The occurrence of phase fluctuations due to thermal excitations in Bose-Einstein condensates (BECs) is studied for a variety of temperatures and trap geometries. We observe the statistical nature of the appearence of phase fluctuations and characterize the dependence of their average value on temperature, number of particles and the trapping potential. We find pronounced phase fluctuations for condensates in very elongated traps in a broad temperature range. The results are of great importance for the realization of BEC in quasi 1D geometries, for matter wave interferometry with BECs, as well ","authors_text":"D. Hellweg, D. S. Petrov, G. V. Shlyapnikov, H. Kreutzmann, J. J. Arlt, K. Sengstock, L. Santos, M. Lewenstein, P. Ryytty, S. Dettmer, W. Ertmer","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-05-28T13:01:55Z","title":"Observation of Phase Fluctuations in Bose-Einstein Condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0105525","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":"sha256:842b6d9362abf69cfcb271342c1f7a3d50776007ec6cb8626dc6f748da0dcd88","target":"record","created_at":"2026-07-04T16:25:37Z","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":"d990f46877e44b9ba95bcc6106077b6cb41e36961fa36c66bc668ffbc4161a70","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-05-28T13:01:55Z","title_canon_sha256":"239e22b805e044e56844d6bb253bd019fb447be8fe9a1e34d7a3a040a867ad48"},"schema_version":"1.0","source":{"id":"cond-mat/0105525","kind":"arxiv","version":1}},"canonical_sha256":"8e17ca0d48299a57d775fe437a97d5b725effc1394ebada9ac29d7d3c0313f44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e17ca0d48299a57d775fe437a97d5b725effc1394ebada9ac29d7d3c0313f44","first_computed_at":"2026-07-04T16:25:37.399356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:25:37.399356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nkVPqsogaHcKkmvderMoyEkAkPKWIN5P3IUahUW/72/gNQ7xuoGLm/w9tyTzaV4CiOSy2SCsXzjdTpG679/PBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:25:37.399751Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0105525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:842b6d9362abf69cfcb271342c1f7a3d50776007ec6cb8626dc6f748da0dcd88","sha256:fe662514f90f24ac2d7d633bf5bf07fe5c2f12912aef896e100f4878fb4c6588"],"state_sha256":"c37161cc5e438f6e9a52018f9eea2702dcedcebe9ff2b4cf5e2b031b17f1ddff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q5hjQFGDxmXrOVkenptjwZC5Q9zoXAtiaDj0BU/CYtT198hPT7qlt94cAYCQRsQQsYqSSkWWOpLcL7WNqNeUAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T10:32:37.513965Z","bundle_sha256":"09a34a5c6a7af5ee264c8a7725b68bd69bf738cc799ca0c503da53d4e5f76b05"}}