{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:JFZAI5EFDTHV6256IPQASPRMMC","short_pith_number":"pith:JFZAI5EF","schema_version":"1.0","canonical_sha256":"49720474851ccf5f6bbe43e0093e2c60b3bf75e88ad1af80e7b6ff4cc0cbcf0e","source":{"kind":"arxiv","id":"2204.13441","version":1},"attestation_state":"computed","paper":{"title":"Symmetry and Classification of Multipartite Entangled States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Adam Burchardt","submitted_at":"2022-04-28T12:13:21Z","abstract_excerpt":"One of the key manifestations of quantum mechanics is the phenomenon of quantum entanglement. While the entanglement of bipartite systems is already well understood, our knowledge of entanglement in multipartite systems is still limited. This dissertation covers various aspects of the quantification of entanglement in multipartite states and the role of symmetry in such systems. Firstly, we establish a connection between the classification of multipartite entanglement and knot theory and investigate the family of states that are resistant to particle loss. Furthermore, we construct several exa"},"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":"2204.13441","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-04-28T12:13:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3d28b5cd97b24b6998a17014eb8577d2697d3998f58822d67f4a2050c851aa00","abstract_canon_sha256":"cf3cec8b047c33900de9ae2d02f6dfffc5b4754c022a82270731c4645c61f6c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:18:34.933276Z","signature_b64":"AuV4JyY6IMN4GJ/SbM6qZSLtODwUgmtNBI/71ZPywvpsJoHQdI8C6xqmfraXTiLCXd4O++FWO5TErSZJ6KQDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49720474851ccf5f6bbe43e0093e2c60b3bf75e88ad1af80e7b6ff4cc0cbcf0e","last_reissued_at":"2026-07-05T04:18:34.932848Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:18:34.932848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry and Classification of Multipartite Entangled States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Adam Burchardt","submitted_at":"2022-04-28T12:13:21Z","abstract_excerpt":"One of the key manifestations of quantum mechanics is the phenomenon of quantum entanglement. While the entanglement of bipartite systems is already well understood, our knowledge of entanglement in multipartite systems is still limited. This dissertation covers various aspects of the quantification of entanglement in multipartite states and the role of symmetry in such systems. Firstly, we establish a connection between the classification of multipartite entanglement and knot theory and investigate the family of states that are resistant to particle loss. Furthermore, we construct several exa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.13441","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/2204.13441/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":"2204.13441","created_at":"2026-07-05T04:18:34.932902+00:00"},{"alias_kind":"arxiv_version","alias_value":"2204.13441v1","created_at":"2026-07-05T04:18:34.932902+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.13441","created_at":"2026-07-05T04:18:34.932902+00:00"},{"alias_kind":"pith_short_12","alias_value":"JFZAI5EFDTHV","created_at":"2026-07-05T04:18:34.932902+00:00"},{"alias_kind":"pith_short_16","alias_value":"JFZAI5EFDTHV6256","created_at":"2026-07-05T04:18:34.932902+00:00"},{"alias_kind":"pith_short_8","alias_value":"JFZAI5EF","created_at":"2026-07-05T04:18:34.932902+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2508.04777","citing_title":"Absolutely maximally entangled pure states of multipartite quantum systems","ref_index":85,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JFZAI5EFDTHV6256IPQASPRMMC","json":"https://pith.science/pith/JFZAI5EFDTHV6256IPQASPRMMC.json","graph_json":"https://pith.science/api/pith-number/JFZAI5EFDTHV6256IPQASPRMMC/graph.json","events_json":"https://pith.science/api/pith-number/JFZAI5EFDTHV6256IPQASPRMMC/events.json","paper":"https://pith.science/paper/JFZAI5EF"},"agent_actions":{"view_html":"https://pith.science/pith/JFZAI5EFDTHV6256IPQASPRMMC","download_json":"https://pith.science/pith/JFZAI5EFDTHV6256IPQASPRMMC.json","view_paper":"https://pith.science/paper/JFZAI5EF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2204.13441&json=true","fetch_graph":"https://pith.science/api/pith-number/JFZAI5EFDTHV6256IPQASPRMMC/graph.json","fetch_events":"https://pith.science/api/pith-number/JFZAI5EFDTHV6256IPQASPRMMC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JFZAI5EFDTHV6256IPQASPRMMC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JFZAI5EFDTHV6256IPQASPRMMC/action/storage_attestation","attest_author":"https://pith.science/pith/JFZAI5EFDTHV6256IPQASPRMMC/action/author_attestation","sign_citation":"https://pith.science/pith/JFZAI5EFDTHV6256IPQASPRMMC/action/citation_signature","submit_replication":"https://pith.science/pith/JFZAI5EFDTHV6256IPQASPRMMC/action/replication_record"}},"created_at":"2026-07-05T04:18:34.932902+00:00","updated_at":"2026-07-05T04:18:34.932902+00:00"}