{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:P6BHSTT44MFDMLEDPPYXHE5QYG","short_pith_number":"pith:P6BHSTT4","schema_version":"1.0","canonical_sha256":"7f82794e7ce30a362c837bf17393b0c198f877f5813cdf9f4041cac1a61d1ff1","source":{"kind":"arxiv","id":"2502.12259","version":2},"attestation_state":"computed","paper":{"title":"Extracting topological spins from bulk multipartite entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Ady Stern, Erez Berg, Yarden Sheffer","submitted_at":"2025-02-17T19:02:19Z","abstract_excerpt":"We address the problem of identifying a 2+1d topologically ordered phase using measurements on the ground-state wavefunction. For non-chiral topological order, we describe a series of bulk multipartite entanglement measures that extract the invariants $\\sum_a d_a^2 \\theta_a^r$ for any $r \\geq 2$, where $d_a$ and $\\theta_a$ are the quantum dimension and topological spin of an anyon $a$, respectively. These invariants are obtained as expectation values of permutation operators between $2r$ replicas of the wavefunction, applying different permutations on four distinct regions of the plane. Our pr"},"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":"2502.12259","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-02-17T19:02:19Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"040f92ab2d7e516c6809d33421a6dc27a3b881dbd17ef5b49c14ea3d7f81fe23","abstract_canon_sha256":"2f3daa3e8ccb51e5797895650ac9bacb14db00cf71ba51b04729f9fd36219b4e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:42:25.970134Z","signature_b64":"3UjRfDPDvXRoeJYDqxKCboKNN0X0nox7w6sxU4ISL38ZtTRkE5jfnv5eUeQ80QLIUnPD3NTzw+DnyKDQq20WAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f82794e7ce30a362c837bf17393b0c198f877f5813cdf9f4041cac1a61d1ff1","last_reissued_at":"2026-07-05T11:42:25.969737Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:42:25.969737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extracting topological spins from bulk multipartite entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Ady Stern, Erez Berg, Yarden Sheffer","submitted_at":"2025-02-17T19:02:19Z","abstract_excerpt":"We address the problem of identifying a 2+1d topologically ordered phase using measurements on the ground-state wavefunction. For non-chiral topological order, we describe a series of bulk multipartite entanglement measures that extract the invariants $\\sum_a d_a^2 \\theta_a^r$ for any $r \\geq 2$, where $d_a$ and $\\theta_a$ are the quantum dimension and topological spin of an anyon $a$, respectively. These invariants are obtained as expectation values of permutation operators between $2r$ replicas of the wavefunction, applying different permutations on four distinct regions of the plane. Our pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.12259","kind":"arxiv","version":2},"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/2502.12259/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":"2502.12259","created_at":"2026-07-05T11:42:25.969792+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.12259v2","created_at":"2026-07-05T11:42:25.969792+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.12259","created_at":"2026-07-05T11:42:25.969792+00:00"},{"alias_kind":"pith_short_12","alias_value":"P6BHSTT44MFD","created_at":"2026-07-05T11:42:25.969792+00:00"},{"alias_kind":"pith_short_16","alias_value":"P6BHSTT44MFDMLED","created_at":"2026-07-05T11:42:25.969792+00:00"},{"alias_kind":"pith_short_8","alias_value":"P6BHSTT4","created_at":"2026-07-05T11:42:25.969792+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.06050","citing_title":"Genuine Multi-Entropy in the Toric Code","ref_index":17,"is_internal_anchor":true},{"citing_arxiv_id":"2512.04649","citing_title":"Probing chiral topological states with permutation defects","ref_index":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P6BHSTT44MFDMLEDPPYXHE5QYG","json":"https://pith.science/pith/P6BHSTT44MFDMLEDPPYXHE5QYG.json","graph_json":"https://pith.science/api/pith-number/P6BHSTT44MFDMLEDPPYXHE5QYG/graph.json","events_json":"https://pith.science/api/pith-number/P6BHSTT44MFDMLEDPPYXHE5QYG/events.json","paper":"https://pith.science/paper/P6BHSTT4"},"agent_actions":{"view_html":"https://pith.science/pith/P6BHSTT44MFDMLEDPPYXHE5QYG","download_json":"https://pith.science/pith/P6BHSTT44MFDMLEDPPYXHE5QYG.json","view_paper":"https://pith.science/paper/P6BHSTT4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.12259&json=true","fetch_graph":"https://pith.science/api/pith-number/P6BHSTT44MFDMLEDPPYXHE5QYG/graph.json","fetch_events":"https://pith.science/api/pith-number/P6BHSTT44MFDMLEDPPYXHE5QYG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P6BHSTT44MFDMLEDPPYXHE5QYG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P6BHSTT44MFDMLEDPPYXHE5QYG/action/storage_attestation","attest_author":"https://pith.science/pith/P6BHSTT44MFDMLEDPPYXHE5QYG/action/author_attestation","sign_citation":"https://pith.science/pith/P6BHSTT44MFDMLEDPPYXHE5QYG/action/citation_signature","submit_replication":"https://pith.science/pith/P6BHSTT44MFDMLEDPPYXHE5QYG/action/replication_record"}},"created_at":"2026-07-05T11:42:25.969792+00:00","updated_at":"2026-07-05T11:42:25.969792+00:00"}