{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:L4SX7MGRGBVK43DL4Z25ASFITP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f2eb272a1297e2ec23ddf2bbc4a82a62b249eae0d439dbf44d285263e373e4c3","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2001-04-11T00:28:51Z","title_canon_sha256":"b77559ba35ca7d504524471af5ccf7d9165b4e62c3199c157d1d24be898da574"},"schema_version":"1.0","source":{"id":"cond-mat/0104187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0104187","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0104187v1","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0104187","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"pith_short_12","alias_value":"L4SX7MGRGBVK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"L4SX7MGRGBVK43DL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"L4SX7MGR","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:7482b649864e3d4160991425e67cdf50c405fde5fcb9f782e538916da8c596ef","target":"graph","created_at":"2026-05-18T01:07:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Vortex lattices are constructed in terms of linear combinations of solutions for Scr\\\"{o}dinger equation with a constant potential. The vortex lattices are mapped on the spaces with two-dimensional rotationally symmetric potentials by using conformal mappings and the differences of the mapped vortex-patterns are examined. The existence of vortex dipole and quadrupole is also pointed out.","authors_text":"Tsunehiro Kobayashi","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2001-04-11T00:28:51Z","title":"Vortex Lattices in Quantum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0104187","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:006563d89f8d658fface214ab92107048df9cb7dc52ad4276dc1c9b2cf9322a6","target":"record","created_at":"2026-05-18T01:07:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f2eb272a1297e2ec23ddf2bbc4a82a62b249eae0d439dbf44d285263e373e4c3","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2001-04-11T00:28:51Z","title_canon_sha256":"b77559ba35ca7d504524471af5ccf7d9165b4e62c3199c157d1d24be898da574"},"schema_version":"1.0","source":{"id":"cond-mat/0104187","kind":"arxiv","version":1}},"canonical_sha256":"5f257fb0d1306aae6c6be675d048a89bde1c5a293887a49a75f0bc909eeb7d1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f257fb0d1306aae6c6be675d048a89bde1c5a293887a49a75f0bc909eeb7d1e","first_computed_at":"2026-05-18T01:07:03.069902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:03.069902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AdCWz2/98d9gBvrfYRDuKiv9kuPsqZDnjVgRCer5LGbbZvIcI8tSqSIuMWaKXXWMZ8B1Ra7ntY6RU8Aeq3fJCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:03.070384Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0104187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:006563d89f8d658fface214ab92107048df9cb7dc52ad4276dc1c9b2cf9322a6","sha256:7482b649864e3d4160991425e67cdf50c405fde5fcb9f782e538916da8c596ef"],"state_sha256":"6c3281fd95460d6f55917cc2f33e22d9935805772db81fb1fdb68cf5016cff4a"}