{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:VDCRE7KAJ7GOMXCIEPKXECPMHO","short_pith_number":"pith:VDCRE7KA","schema_version":"1.0","canonical_sha256":"a8c5127d404fcce65c4823d57209ec3b9fc9c205fe8dbbbe2b647d862a688bb4","source":{"kind":"arxiv","id":"2410.07470","version":2},"attestation_state":"computed","paper":{"title":"Quantum Knots that Never Come Untied","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.quant-gas","authors_text":"Michikazu Kobayashi, Muneto Nitta, Yuta Nozaki, Yuya Koda","submitted_at":"2024-10-09T22:12:38Z","abstract_excerpt":"Lord Kelvin proposed that atoms form hydrodynamic vortex knots. However, they typically untie through reconnections, i. e., local cut-and-slice events, unlike stable vortex unknots such as smoke rings. The same holds in superfluids--quantum fluids with zero viscosity--where vortices have quantized circulation, making them topologically stable. For over 150 years, hydrodynamically stable vortex knots have been sought both experimentally and theoretically. Here, we present the first demonstration of hydrodynamically stable vortex knots and links in experimentally realizable Bose-Einstein condens"},"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":"2410.07470","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2024-10-09T22:12:38Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"3503b09eb26cbc89cdf11e0ec233947291feb3de663263ce72c21822739497de","abstract_canon_sha256":"d91cbaead6f5a32087fd1a52f31dcc61c022b1f1c7dcdaa92787962945f5fb81"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:21:08.099734Z","signature_b64":"fMMXpuqgm3UuoBD1HpI3AlHhRo+cNRLigl8gEuV2qtYROLGj0KqmN7Oouxjan4P3u4kIP5BteX+cc6sXn/kkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8c5127d404fcce65c4823d57209ec3b9fc9c205fe8dbbbe2b647d862a688bb4","last_reissued_at":"2026-07-05T09:21:08.099328Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:21:08.099328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Knots that Never Come Untied","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.quant-gas","authors_text":"Michikazu Kobayashi, Muneto Nitta, Yuta Nozaki, Yuya Koda","submitted_at":"2024-10-09T22:12:38Z","abstract_excerpt":"Lord Kelvin proposed that atoms form hydrodynamic vortex knots. However, they typically untie through reconnections, i. e., local cut-and-slice events, unlike stable vortex unknots such as smoke rings. The same holds in superfluids--quantum fluids with zero viscosity--where vortices have quantized circulation, making them topologically stable. For over 150 years, hydrodynamically stable vortex knots have been sought both experimentally and theoretically. Here, we present the first demonstration of hydrodynamically stable vortex knots and links in experimentally realizable Bose-Einstein condens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.07470","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/2410.07470/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":"2410.07470","created_at":"2026-07-05T09:21:08.099381+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.07470v2","created_at":"2026-07-05T09:21:08.099381+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.07470","created_at":"2026-07-05T09:21:08.099381+00:00"},{"alias_kind":"pith_short_12","alias_value":"VDCRE7KAJ7GO","created_at":"2026-07-05T09:21:08.099381+00:00"},{"alias_kind":"pith_short_16","alias_value":"VDCRE7KAJ7GOMXCI","created_at":"2026-07-05T09:21:08.099381+00:00"},{"alias_kind":"pith_short_8","alias_value":"VDCRE7KA","created_at":"2026-07-05T09:21:08.099381+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/VDCRE7KAJ7GOMXCIEPKXECPMHO","json":"https://pith.science/pith/VDCRE7KAJ7GOMXCIEPKXECPMHO.json","graph_json":"https://pith.science/api/pith-number/VDCRE7KAJ7GOMXCIEPKXECPMHO/graph.json","events_json":"https://pith.science/api/pith-number/VDCRE7KAJ7GOMXCIEPKXECPMHO/events.json","paper":"https://pith.science/paper/VDCRE7KA"},"agent_actions":{"view_html":"https://pith.science/pith/VDCRE7KAJ7GOMXCIEPKXECPMHO","download_json":"https://pith.science/pith/VDCRE7KAJ7GOMXCIEPKXECPMHO.json","view_paper":"https://pith.science/paper/VDCRE7KA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.07470&json=true","fetch_graph":"https://pith.science/api/pith-number/VDCRE7KAJ7GOMXCIEPKXECPMHO/graph.json","fetch_events":"https://pith.science/api/pith-number/VDCRE7KAJ7GOMXCIEPKXECPMHO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VDCRE7KAJ7GOMXCIEPKXECPMHO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VDCRE7KAJ7GOMXCIEPKXECPMHO/action/storage_attestation","attest_author":"https://pith.science/pith/VDCRE7KAJ7GOMXCIEPKXECPMHO/action/author_attestation","sign_citation":"https://pith.science/pith/VDCRE7KAJ7GOMXCIEPKXECPMHO/action/citation_signature","submit_replication":"https://pith.science/pith/VDCRE7KAJ7GOMXCIEPKXECPMHO/action/replication_record"}},"created_at":"2026-07-05T09:21:08.099381+00:00","updated_at":"2026-07-05T09:21:08.099381+00:00"}