{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:I2JXOQJBXBMV2AYUDUA2ORX4XP","short_pith_number":"pith:I2JXOQJB","canonical_record":{"source":{"id":"1008.4682","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-08-27T09:54:57Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"7f1d217934f5315684e9a0621a0f1772a5e72f49a7eebdc5336ab2ac199161cb","abstract_canon_sha256":"8e8f67bfa0ad82912b86958571949e2befd1d63bb610ad3d96c9b7684dcc13d8"},"schema_version":"1.0"},"canonical_sha256":"4693774121b8595d03141d01a746fcbbf5f5803e15136963f38221991b165d2f","source":{"kind":"arxiv","id":"1008.4682","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4682","created_at":"2026-05-18T02:05:42Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4682v1","created_at":"2026-05-18T02:05:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4682","created_at":"2026-05-18T02:05:42Z"},{"alias_kind":"pith_short_12","alias_value":"I2JXOQJBXBMV","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"I2JXOQJBXBMV2AYU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"I2JXOQJB","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:I2JXOQJBXBMV2AYUDUA2ORX4XP","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4682","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-08-27T09:54:57Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"7f1d217934f5315684e9a0621a0f1772a5e72f49a7eebdc5336ab2ac199161cb","abstract_canon_sha256":"8e8f67bfa0ad82912b86958571949e2befd1d63bb610ad3d96c9b7684dcc13d8"},"schema_version":"1.0"},"canonical_sha256":"4693774121b8595d03141d01a746fcbbf5f5803e15136963f38221991b165d2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:42.082111Z","signature_b64":"MI4rAy2165pCx5haKlgl0zO5C1rIO8JJBWlF18ZNXFXpSo81FtykGbxlP5Yp57hxpqIrlkkpt4emwu6+vT6cAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4693774121b8595d03141d01a746fcbbf5f5803e15136963f38221991b165d2f","last_reissued_at":"2026-05-18T02:05:42.081515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:42.081515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4682","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":"2026-05-18T02:05:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CgSD6QyKzwBVYSTZ0eHso2CzcwJw8nyH/b/X2yiXn9LJ4XnHBr53EIydDNQ8+kT+8ttkvj1zAVUp1XWvQV6IBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:59:53.641212Z"},"content_sha256":"398f69f8d7e2015da7dbdeb753ad38e983da2e7330d881440492ba228872e278","schema_version":"1.0","event_id":"sha256:398f69f8d7e2015da7dbdeb753ad38e983da2e7330d881440492ba228872e278"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:I2JXOQJBXBMV2AYUDUA2ORX4XP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluctuation indices for atomic systems with Bose-Einstein condensate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"V.I. Yukalov","submitted_at":"2010-08-27T09:54:57Z","abstract_excerpt":"The notion of fluctuation indices, characterizing thermodynamic stability of statistical systems, is advanced. These indices are especially useful for investigating the stability of nonuniform and trapped atomic assemblies. The fluctuation indices are calculated for several systems with Bose-Einstein condensate. It is shown that: the ideal uniform Bose-condensed gas is thermodynamically unstable; trapped ideal gases are stable for the confining dimension larger than two; trapped gases, under the confining dimension two, are weakly unstable; harmonically trapped gas is stable only for the spati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4682","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":"2026-05-18T02:05:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D+KEstQ3Ul2roBcnshop0bKDlLqq/ZSVyP/dXvxWyyJ4myqYCT1OCSCBRtXSy301w4j4mSvoE4FFJU98ggYJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:59:53.641604Z"},"content_sha256":"654b83877eedcf5a054b12d6aabcb71eaffdf83b46cfecd6fce5bd99742ace50","schema_version":"1.0","event_id":"sha256:654b83877eedcf5a054b12d6aabcb71eaffdf83b46cfecd6fce5bd99742ace50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I2JXOQJBXBMV2AYUDUA2ORX4XP/bundle.json","state_url":"https://pith.science/pith/I2JXOQJBXBMV2AYUDUA2ORX4XP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I2JXOQJBXBMV2AYUDUA2ORX4XP/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":"2026-06-02T05:59:53Z","links":{"resolver":"https://pith.science/pith/I2JXOQJBXBMV2AYUDUA2ORX4XP","bundle":"https://pith.science/pith/I2JXOQJBXBMV2AYUDUA2ORX4XP/bundle.json","state":"https://pith.science/pith/I2JXOQJBXBMV2AYUDUA2ORX4XP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I2JXOQJBXBMV2AYUDUA2ORX4XP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:I2JXOQJBXBMV2AYUDUA2ORX4XP","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":"8e8f67bfa0ad82912b86958571949e2befd1d63bb610ad3d96c9b7684dcc13d8","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-08-27T09:54:57Z","title_canon_sha256":"7f1d217934f5315684e9a0621a0f1772a5e72f49a7eebdc5336ab2ac199161cb"},"schema_version":"1.0","source":{"id":"1008.4682","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4682","created_at":"2026-05-18T02:05:42Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4682v1","created_at":"2026-05-18T02:05:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4682","created_at":"2026-05-18T02:05:42Z"},{"alias_kind":"pith_short_12","alias_value":"I2JXOQJBXBMV","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"I2JXOQJBXBMV2AYU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"I2JXOQJB","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:654b83877eedcf5a054b12d6aabcb71eaffdf83b46cfecd6fce5bd99742ace50","target":"graph","created_at":"2026-05-18T02:05:42Z","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":"The notion of fluctuation indices, characterizing thermodynamic stability of statistical systems, is advanced. These indices are especially useful for investigating the stability of nonuniform and trapped atomic assemblies. The fluctuation indices are calculated for several systems with Bose-Einstein condensate. It is shown that: the ideal uniform Bose-condensed gas is thermodynamically unstable; trapped ideal gases are stable for the confining dimension larger than two; trapped gases, under the confining dimension two, are weakly unstable; harmonically trapped gas is stable only for the spati","authors_text":"V.I. Yukalov","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-08-27T09:54:57Z","title":"Fluctuation indices for atomic systems with Bose-Einstein condensate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4682","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":"sha256:398f69f8d7e2015da7dbdeb753ad38e983da2e7330d881440492ba228872e278","target":"record","created_at":"2026-05-18T02:05:42Z","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":"8e8f67bfa0ad82912b86958571949e2befd1d63bb610ad3d96c9b7684dcc13d8","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-08-27T09:54:57Z","title_canon_sha256":"7f1d217934f5315684e9a0621a0f1772a5e72f49a7eebdc5336ab2ac199161cb"},"schema_version":"1.0","source":{"id":"1008.4682","kind":"arxiv","version":1}},"canonical_sha256":"4693774121b8595d03141d01a746fcbbf5f5803e15136963f38221991b165d2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4693774121b8595d03141d01a746fcbbf5f5803e15136963f38221991b165d2f","first_computed_at":"2026-05-18T02:05:42.081515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:42.081515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MI4rAy2165pCx5haKlgl0zO5C1rIO8JJBWlF18ZNXFXpSo81FtykGbxlP5Yp57hxpqIrlkkpt4emwu6+vT6cAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:42.082111Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4682","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:398f69f8d7e2015da7dbdeb753ad38e983da2e7330d881440492ba228872e278","sha256:654b83877eedcf5a054b12d6aabcb71eaffdf83b46cfecd6fce5bd99742ace50"],"state_sha256":"79a5ddde717bc8e49b0e044429a73424b9fe14035d16af10945341e28b9aed97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aF5ibYzawvvmqx0+MNoGuoaoI1G8feWS4Zg+1gabqfVLuw4nXltwBHxUNzo1Xudv9ID9bkBTE+OG49gcPNnVDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:59:53.643929Z","bundle_sha256":"3c8bc23cf3eb9fb50cf996e268be67dea82fdbd4fe982ff9e01fd017df61f8ad"}}