{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:WDIUNLY7YZGHFRIO4D7ZDXMEYT","short_pith_number":"pith:WDIUNLY7","schema_version":"1.0","canonical_sha256":"b0d146af1fc64c72c50ee0ff91dd84c4d0a3723cf18ec33e051e38ed7693ba9a","source":{"kind":"arxiv","id":"2001.02616","version":3},"attestation_state":"computed","paper":{"title":"Finding self-similar behavior in quantum many-body dynamics via persistent homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.quant-gas","authors_text":"Anna Wienhard, Daniel Spitz, J\\\"urgen Berges, Markus K. Oberthaler","submitted_at":"2020-01-08T16:55:30Z","abstract_excerpt":"Inspired by topological data analysis techniques, we introduce persistent homology observables and apply them in a geometric analysis of the dynamics of quantum field theories. As a prototype application, we consider data from a classical-statistical simulation of a two-dimensional Bose gas far from equilibrium. We discover a continuous spectrum of dynamical scaling exponents, which provides a refined classification of nonequilibrium self-similar phenomena. A possible explanation of the underlying processes is provided in terms of mixing strong wave turbulence and anomalous vortex kinetics com"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2001.02616","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-01-08T16:55:30Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"48d6de80160ffeca3e0888d4d8d8ffd4929907831476d4b04acfd71876baafd4","abstract_canon_sha256":"d53d62bbae09b33dbfbfa6ec7758687712a894b39bb0911f7cc98f9989345d8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:16:29.018076Z","signature_b64":"c+yIFGaSwvW46h7wL4Q4uJLgQxFopn2x4y+n5m5/HhKry7hCEX++U4+7dRz7lCUYBtJDSXuKqBIz4yTW6PaVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0d146af1fc64c72c50ee0ff91dd84c4d0a3723cf18ec33e051e38ed7693ba9a","last_reissued_at":"2026-07-05T03:16:29.017632Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:16:29.017632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finding self-similar behavior in quantum many-body dynamics via persistent homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.quant-gas","authors_text":"Anna Wienhard, Daniel Spitz, J\\\"urgen Berges, Markus K. Oberthaler","submitted_at":"2020-01-08T16:55:30Z","abstract_excerpt":"Inspired by topological data analysis techniques, we introduce persistent homology observables and apply them in a geometric analysis of the dynamics of quantum field theories. As a prototype application, we consider data from a classical-statistical simulation of a two-dimensional Bose gas far from equilibrium. We discover a continuous spectrum of dynamical scaling exponents, which provides a refined classification of nonequilibrium self-similar phenomena. A possible explanation of the underlying processes is provided in terms of mixing strong wave turbulence and anomalous vortex kinetics com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.02616","kind":"arxiv","version":3},"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/2001.02616/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2001.02616","created_at":"2026-07-05T03:16:29.017689+00:00"},{"alias_kind":"arxiv_version","alias_value":"2001.02616v3","created_at":"2026-07-05T03:16:29.017689+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.02616","created_at":"2026-07-05T03:16:29.017689+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDIUNLY7YZGH","created_at":"2026-07-05T03:16:29.017689+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDIUNLY7YZGHFRIO","created_at":"2026-07-05T03:16:29.017689+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDIUNLY7","created_at":"2026-07-05T03:16:29.017689+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WDIUNLY7YZGHFRIO4D7ZDXMEYT","json":"https://pith.science/pith/WDIUNLY7YZGHFRIO4D7ZDXMEYT.json","graph_json":"https://pith.science/api/pith-number/WDIUNLY7YZGHFRIO4D7ZDXMEYT/graph.json","events_json":"https://pith.science/api/pith-number/WDIUNLY7YZGHFRIO4D7ZDXMEYT/events.json","paper":"https://pith.science/paper/WDIUNLY7"},"agent_actions":{"view_html":"https://pith.science/pith/WDIUNLY7YZGHFRIO4D7ZDXMEYT","download_json":"https://pith.science/pith/WDIUNLY7YZGHFRIO4D7ZDXMEYT.json","view_paper":"https://pith.science/paper/WDIUNLY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2001.02616&json=true","fetch_graph":"https://pith.science/api/pith-number/WDIUNLY7YZGHFRIO4D7ZDXMEYT/graph.json","fetch_events":"https://pith.science/api/pith-number/WDIUNLY7YZGHFRIO4D7ZDXMEYT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDIUNLY7YZGHFRIO4D7ZDXMEYT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDIUNLY7YZGHFRIO4D7ZDXMEYT/action/storage_attestation","attest_author":"https://pith.science/pith/WDIUNLY7YZGHFRIO4D7ZDXMEYT/action/author_attestation","sign_citation":"https://pith.science/pith/WDIUNLY7YZGHFRIO4D7ZDXMEYT/action/citation_signature","submit_replication":"https://pith.science/pith/WDIUNLY7YZGHFRIO4D7ZDXMEYT/action/replication_record"}},"created_at":"2026-07-05T03:16:29.017689+00:00","updated_at":"2026-07-05T03:16:29.017689+00:00"}