{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:4Z3TO3QTROW4QF6L6JZUWC6KMY","short_pith_number":"pith:4Z3TO3QT","schema_version":"1.0","canonical_sha256":"e677376e138badc817cbf2734b0bca662253ecf669df16eb8944095cb87ac5d5","source":{"kind":"arxiv","id":"2503.17230","version":3},"attestation_state":"computed","paper":{"title":"Tensor Cross Interpolation of Purities in Quantum Many-Body Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"quant-ph","authors_text":"Dmytro Kolisnyk, Maksym Serbyn, Raimel A. Medina, Romain Vasseur","submitted_at":"2025-03-21T15:33:00Z","abstract_excerpt":"A defining feature of quantum many-body systems is the exponential scaling of the Hilbert space with the number of degrees of freedom. This exponential complexity na\\\"ively renders a complete state characterization, for instance via the complete set of bipartite Renyi entropies for all disjoint regions, a challenging task. Recently, a compact way of storing subregions' purities by encoding them as amplitudes of a fictitious quantum wave function, known as entanglement feature, was proposed. Notably, the entanglement feature can be a simple object even for highly entangled quantum states. Howev"},"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":"2503.17230","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-03-21T15:33:00Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"cf56b8ae99d7a1ff8df60b8986cae59eae25459f0e3c89a212e31b6388d7c715","abstract_canon_sha256":"deaec9d58cf342ae59c4ff7769ba597b7cb2cc2156d679c0b629a14b29de1bc8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:00:18.615350Z","signature_b64":"xk0/jwymxCb6QjpWvcLVpcvINaVIBYw3xMa8juEHLsuV0UAWIzcC5hCRPxI02+d6riFmSbJ5OcjFgTFQCVe8Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e677376e138badc817cbf2734b0bca662253ecf669df16eb8944095cb87ac5d5","last_reissued_at":"2026-05-20T00:00:18.614572Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:00:18.614572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tensor Cross Interpolation of Purities in Quantum Many-Body Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"quant-ph","authors_text":"Dmytro Kolisnyk, Maksym Serbyn, Raimel A. Medina, Romain Vasseur","submitted_at":"2025-03-21T15:33:00Z","abstract_excerpt":"A defining feature of quantum many-body systems is the exponential scaling of the Hilbert space with the number of degrees of freedom. This exponential complexity na\\\"ively renders a complete state characterization, for instance via the complete set of bipartite Renyi entropies for all disjoint regions, a challenging task. Recently, a compact way of storing subregions' purities by encoding them as amplitudes of a fictitious quantum wave function, known as entanglement feature, was proposed. Notably, the entanglement feature can be a simple object even for highly entangled quantum states. Howev"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.17230","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/2503.17230/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":"2503.17230","created_at":"2026-05-20T00:00:18.614717+00:00"},{"alias_kind":"arxiv_version","alias_value":"2503.17230v3","created_at":"2026-05-20T00:00:18.614717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.17230","created_at":"2026-05-20T00:00:18.614717+00:00"},{"alias_kind":"pith_short_12","alias_value":"4Z3TO3QTROW4","created_at":"2026-05-20T00:00:18.614717+00:00"},{"alias_kind":"pith_short_16","alias_value":"4Z3TO3QTROW4QF6L","created_at":"2026-05-20T00:00:18.614717+00:00"},{"alias_kind":"pith_short_8","alias_value":"4Z3TO3QT","created_at":"2026-05-20T00:00:18.614717+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.04262","citing_title":"Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation","ref_index":62,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4Z3TO3QTROW4QF6L6JZUWC6KMY","json":"https://pith.science/pith/4Z3TO3QTROW4QF6L6JZUWC6KMY.json","graph_json":"https://pith.science/api/pith-number/4Z3TO3QTROW4QF6L6JZUWC6KMY/graph.json","events_json":"https://pith.science/api/pith-number/4Z3TO3QTROW4QF6L6JZUWC6KMY/events.json","paper":"https://pith.science/paper/4Z3TO3QT"},"agent_actions":{"view_html":"https://pith.science/pith/4Z3TO3QTROW4QF6L6JZUWC6KMY","download_json":"https://pith.science/pith/4Z3TO3QTROW4QF6L6JZUWC6KMY.json","view_paper":"https://pith.science/paper/4Z3TO3QT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2503.17230&json=true","fetch_graph":"https://pith.science/api/pith-number/4Z3TO3QTROW4QF6L6JZUWC6KMY/graph.json","fetch_events":"https://pith.science/api/pith-number/4Z3TO3QTROW4QF6L6JZUWC6KMY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4Z3TO3QTROW4QF6L6JZUWC6KMY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4Z3TO3QTROW4QF6L6JZUWC6KMY/action/storage_attestation","attest_author":"https://pith.science/pith/4Z3TO3QTROW4QF6L6JZUWC6KMY/action/author_attestation","sign_citation":"https://pith.science/pith/4Z3TO3QTROW4QF6L6JZUWC6KMY/action/citation_signature","submit_replication":"https://pith.science/pith/4Z3TO3QTROW4QF6L6JZUWC6KMY/action/replication_record"}},"created_at":"2026-05-20T00:00:18.614717+00:00","updated_at":"2026-05-20T00:00:18.614717+00:00"}