{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:KBI7N7SIIHGUW23VR74USIWWPP","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":"e39ff814b4bf48bd5e4330d1406d812114bb6f3d72ba6649ed31cace1e3f39be","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2002-10-08T08:23:20Z","title_canon_sha256":"2c8abf9608a8ea673b33976bb8a5c499e46a9e431002c4529e00e2bedccf8a7c"},"schema_version":"1.0","source":{"id":"math-ph/0210014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0210014","created_at":"2026-05-18T00:37:08Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0210014v1","created_at":"2026-05-18T00:37:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0210014","created_at":"2026-05-18T00:37:08Z"},{"alias_kind":"pith_short_12","alias_value":"KBI7N7SIIHGU","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"KBI7N7SIIHGUW23V","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"KBI7N7SI","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:06d1cf96d7a5af326a129e381c365fda4d6a24f825852f04bc41f8b7f727c5ad","target":"graph","created_at":"2026-05-18T00:37:08Z","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":"These notes arose from three lectures presented at the Summer School on Theoretical Physics \"Symmetry and Structural Properties of Condensed Matter\" held in Myczkowce, Poland, on September 11-18, 2002. We review rigged configurations and the Bethe Ansatz. In the first part, we focus on the algebraic Bethe Ansatz for the spin 1/2 XXX model and explain how rigged configurations label the solutions of the Bethe equations. This yields the bijection between rigged configurations and crystal paths/Young tableaux of Kerov, Kirillov and Reshetikhin. In the second part, we discuss a generalization of t","authors_text":"Anne Schilling","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2002-10-08T08:23:20Z","title":"Rigged configurations and the Bethe Ansatz"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0210014","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":"sha256:96e4aed0aa274e32fea4986a742806f373a44f8daa98e57c73c5baf296066efd","target":"record","created_at":"2026-05-18T00:37:08Z","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":"e39ff814b4bf48bd5e4330d1406d812114bb6f3d72ba6649ed31cace1e3f39be","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2002-10-08T08:23:20Z","title_canon_sha256":"2c8abf9608a8ea673b33976bb8a5c499e46a9e431002c4529e00e2bedccf8a7c"},"schema_version":"1.0","source":{"id":"math-ph/0210014","kind":"arxiv","version":1}},"canonical_sha256":"5051f6fe4841cd4b6b758ff94922d67bf6ce1a90d49ff85c3e8fa4dc0f6bb74d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5051f6fe4841cd4b6b758ff94922d67bf6ce1a90d49ff85c3e8fa4dc0f6bb74d","first_computed_at":"2026-05-18T00:37:08.033075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:08.033075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Iaxx8P5mfRfpX5WYuU/HhHqdX1ETQIVstN3iZwxUoTFg+lgw30pKeSqnXvPnWvIpAsJBxVs2RJrz6EeC5+iVBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:08.033787Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0210014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96e4aed0aa274e32fea4986a742806f373a44f8daa98e57c73c5baf296066efd","sha256:06d1cf96d7a5af326a129e381c365fda4d6a24f825852f04bc41f8b7f727c5ad"],"state_sha256":"8bee73a0e5878d62208f77d49a2c0a3c5fa83bbeb9d22570a6593c8008e9d464"}