{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:2732OD7NGNMJQILNBPWJGZCPVG","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":"deea048e5a8d1670025bd322ec96a3c78db177c6e7df7d6084b81f97e35629ca","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-12-22T16:49:56Z","title_canon_sha256":"9d35968a6547db62d59589430ae9c9951d000e7a0dfaddea619343c1c20b2a55"},"schema_version":"1.0","source":{"id":"hep-th/0012228","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0012228","created_at":"2026-05-18T01:38:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0012228v1","created_at":"2026-05-18T01:38:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0012228","created_at":"2026-05-18T01:38:54Z"},{"alias_kind":"pith_short_12","alias_value":"2732OD7NGNMJ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"2732OD7NGNMJQILN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"2732OD7N","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:3bbaed02163c5563686e659aa71b658a43e1c626ba256e738b8f40a99ed2c4d2","target":"graph","created_at":"2026-05-18T01:38:54Z","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":"We study matrix quantum mechanics at a finite temperature equivalent to one dimensional compactified string theory with vortex (winding) excitations. It is explicitly demonstrated that the states transforming under non-trivial U(N) representations describe various configurations vortices and anti-vortices. For example, for the adjoint representation the Feynman graphs (representing discretized world-sheets) contain two faces with the boundaries wrapping around the compactified target space which is equivalent to a vortex-anti-vortex pair. A technique is developed to calculate partition functio","authors_text":"Dmitri Boulatov, Vladimir Kazakov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-12-22T16:49:56Z","title":"One-Dimensional String Theory with Vortices as Upside-Down Matrix Oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0012228","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:c7dafa1b045487364c3d474953f492bad4c4246a81ae2f1bc80784ba4f57e2a5","target":"record","created_at":"2026-05-18T01:38:54Z","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":"deea048e5a8d1670025bd322ec96a3c78db177c6e7df7d6084b81f97e35629ca","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-12-22T16:49:56Z","title_canon_sha256":"9d35968a6547db62d59589430ae9c9951d000e7a0dfaddea619343c1c20b2a55"},"schema_version":"1.0","source":{"id":"hep-th/0012228","kind":"arxiv","version":1}},"canonical_sha256":"d7f7a70fed335898216d0bec93644fa9a165a6af25b1ba00cd2b831a1e75c8eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7f7a70fed335898216d0bec93644fa9a165a6af25b1ba00cd2b831a1e75c8eb","first_computed_at":"2026-05-18T01:38:54.910287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:54.910287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ClaGL38kYEY7rFD9UhBeHytKQ5/wDnI99fwRr5kXHI5w9VDNnfk3GvrjjyZvvdHuges2AgajU7U+gCamxtq9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:54.910971Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0012228","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7dafa1b045487364c3d474953f492bad4c4246a81ae2f1bc80784ba4f57e2a5","sha256:3bbaed02163c5563686e659aa71b658a43e1c626ba256e738b8f40a99ed2c4d2"],"state_sha256":"79f0e810581d53a86e1ddb3a98d08f75b1db323c8be72ef44e7b94fb109f9735"}