{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:4PNTR624GK2N76MMA2MQMQZUJ2","short_pith_number":"pith:4PNTR624","canonical_record":{"source":{"id":"2007.07662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-07-15T12:43:01Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"8374eaa0808bff9cc1321b9d59740b45a6df244599315c0f2bd6461df7127f1d","abstract_canon_sha256":"af428d6b6cf42005393867d6c1a2745e98702f57735676073eccba77ab719641"},"schema_version":"1.0"},"canonical_sha256":"e3db38fb5c32b4dff98c06990643344ebe613c068d2ed69e7d6878924f1da65b","source":{"kind":"arxiv","id":"2007.07662","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.07662","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"arxiv_version","alias_value":"2007.07662v1","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.07662","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"pith_short_12","alias_value":"4PNTR624GK2N","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"pith_short_16","alias_value":"4PNTR624GK2N76MM","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"pith_short_8","alias_value":"4PNTR624","created_at":"2026-07-05T02:19:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:4PNTR624GK2N76MMA2MQMQZUJ2","target":"record","payload":{"canonical_record":{"source":{"id":"2007.07662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-07-15T12:43:01Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"8374eaa0808bff9cc1321b9d59740b45a6df244599315c0f2bd6461df7127f1d","abstract_canon_sha256":"af428d6b6cf42005393867d6c1a2745e98702f57735676073eccba77ab719641"},"schema_version":"1.0"},"canonical_sha256":"e3db38fb5c32b4dff98c06990643344ebe613c068d2ed69e7d6878924f1da65b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:19:29.314358Z","signature_b64":"Pg+RrZprhUwarFBr862s+RIIf3KiA+ST0zeS4N4h+QmLEvIf6z53vgD0RAwmzlH1A9lUISLHVbv1EXtNg9oxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3db38fb5c32b4dff98c06990643344ebe613c068d2ed69e7d6878924f1da65b","last_reissued_at":"2026-07-05T02:19:29.313744Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:19:29.313744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2007.07662","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":"2026-07-05T02:19:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1jkzYcmx1OFf6rt2NFznuhOVaBMlbeU7x4u6K+MP8HN+uxwsxmoxjPTYIBxvWSuW0u2wFB2g8tIUGuBlZ1rGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:17:19.882420Z"},"content_sha256":"0b728987ae892c0c3c7f5b8caf75e14f8ca426a87143edf9de09013601f6ba64","schema_version":"1.0","event_id":"sha256:0b728987ae892c0c3c7f5b8caf75e14f8ca426a87143edf9de09013601f6ba64"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:4PNTR624GK2N76MMA2MQMQZUJ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chaos-induced depletion of a Bose-Einstein condensate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.quant-gas","authors_text":"Harald Hofst\\\"atter, Iva B\\v{r}ezinov\\'a, Othmar Koch, Peter Schlagheck, Ralf Wanzenb\\\"ock, Stefan Donsa","submitted_at":"2020-07-15T12:43:01Z","abstract_excerpt":"The mean-field limit of a bosonic quantum many-body system is described by (mostly) non-linear equations of motion which may exhibit chaos very much in the spirit of classical particle chaos, i.e. by an exponential separation of trajectories in Hilbert space with a rate given by a positive Lyapunov exponent $\\lambda$. The question now is whether $\\lambda$ imprints itself onto measurable observables of the underlying quantum many-body system even at finite particle numbers. Using a Bose-Einstein condensate expanding in a shallow potential landscape as a paradigmatic example for a bosonic quantu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.07662","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/2007.07662/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":"2026-07-05T02:19:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uwr0FcZANgKEO6RbxHGHc2QAg7jX7OY94ni+RwO8dP9vN7m8G5D/4elxbVv3doXPUIofzObNsoZFHDdP81jVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:17:19.882928Z"},"content_sha256":"a61a8601cb22452d08311631c82e1d32327daa8f28210d9d5dc7750e6f847a96","schema_version":"1.0","event_id":"sha256:a61a8601cb22452d08311631c82e1d32327daa8f28210d9d5dc7750e6f847a96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4PNTR624GK2N76MMA2MQMQZUJ2/bundle.json","state_url":"https://pith.science/pith/4PNTR624GK2N76MMA2MQMQZUJ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4PNTR624GK2N76MMA2MQMQZUJ2/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":"2026-08-13T10:17:19Z","links":{"resolver":"https://pith.science/pith/4PNTR624GK2N76MMA2MQMQZUJ2","bundle":"https://pith.science/pith/4PNTR624GK2N76MMA2MQMQZUJ2/bundle.json","state":"https://pith.science/pith/4PNTR624GK2N76MMA2MQMQZUJ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4PNTR624GK2N76MMA2MQMQZUJ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:4PNTR624GK2N76MMA2MQMQZUJ2","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":"af428d6b6cf42005393867d6c1a2745e98702f57735676073eccba77ab719641","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-07-15T12:43:01Z","title_canon_sha256":"8374eaa0808bff9cc1321b9d59740b45a6df244599315c0f2bd6461df7127f1d"},"schema_version":"1.0","source":{"id":"2007.07662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.07662","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"arxiv_version","alias_value":"2007.07662v1","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.07662","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"pith_short_12","alias_value":"4PNTR624GK2N","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"pith_short_16","alias_value":"4PNTR624GK2N76MM","created_at":"2026-07-05T02:19:29Z"},{"alias_kind":"pith_short_8","alias_value":"4PNTR624","created_at":"2026-07-05T02:19:29Z"}],"graph_snapshots":[{"event_id":"sha256:a61a8601cb22452d08311631c82e1d32327daa8f28210d9d5dc7750e6f847a96","target":"graph","created_at":"2026-07-05T02:19:29Z","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/2007.07662/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The mean-field limit of a bosonic quantum many-body system is described by (mostly) non-linear equations of motion which may exhibit chaos very much in the spirit of classical particle chaos, i.e. by an exponential separation of trajectories in Hilbert space with a rate given by a positive Lyapunov exponent $\\lambda$. The question now is whether $\\lambda$ imprints itself onto measurable observables of the underlying quantum many-body system even at finite particle numbers. Using a Bose-Einstein condensate expanding in a shallow potential landscape as a paradigmatic example for a bosonic quantu","authors_text":"Harald Hofst\\\"atter, Iva B\\v{r}ezinov\\'a, Othmar Koch, Peter Schlagheck, Ralf Wanzenb\\\"ock, Stefan Donsa","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-07-15T12:43:01Z","title":"Chaos-induced depletion of a Bose-Einstein condensate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.07662","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":"sha256:0b728987ae892c0c3c7f5b8caf75e14f8ca426a87143edf9de09013601f6ba64","target":"record","created_at":"2026-07-05T02:19:29Z","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":"af428d6b6cf42005393867d6c1a2745e98702f57735676073eccba77ab719641","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-07-15T12:43:01Z","title_canon_sha256":"8374eaa0808bff9cc1321b9d59740b45a6df244599315c0f2bd6461df7127f1d"},"schema_version":"1.0","source":{"id":"2007.07662","kind":"arxiv","version":1}},"canonical_sha256":"e3db38fb5c32b4dff98c06990643344ebe613c068d2ed69e7d6878924f1da65b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3db38fb5c32b4dff98c06990643344ebe613c068d2ed69e7d6878924f1da65b","first_computed_at":"2026-07-05T02:19:29.313744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:19:29.313744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pg+RrZprhUwarFBr862s+RIIf3KiA+ST0zeS4N4h+QmLEvIf6z53vgD0RAwmzlH1A9lUISLHVbv1EXtNg9oxCw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:19:29.314358Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.07662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b728987ae892c0c3c7f5b8caf75e14f8ca426a87143edf9de09013601f6ba64","sha256:a61a8601cb22452d08311631c82e1d32327daa8f28210d9d5dc7750e6f847a96"],"state_sha256":"4bff3e8aefb4e579c2d932eab57b6316d98cb45d4533e4800b23d325f72c7c11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nr11YVp3OBT1j9JtBmY2R5FYKZ8lqPlKrGxvuG9MkA7v0UVFm0f87PwJPrGRbBNtDszBkyIjfnQCR8wgfxNyDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T10:17:19.888805Z","bundle_sha256":"4d368816e00cd3b211240fb8ecd2fb73ba723d9a4acd6a4c93af00cc1d08e81d"}}