{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MHWR2IA3RAS344ZDWPEJR7O2L4","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":"ec26fc56530ac97ceb85407ddfbb2eb400fb76d1607918e7124176d90372a63d","cross_cats_sorted":["math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-22T21:38:02Z","title_canon_sha256":"5c1a0accf1fd2d452bc2552d2ddaf54a8a909ecb37669f608fcc0a15d513fbd7"},"schema_version":"1.0","source":{"id":"1009.4487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4487","created_at":"2026-05-18T04:40:30Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4487v1","created_at":"2026-05-18T04:40:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4487","created_at":"2026-05-18T04:40:30Z"},{"alias_kind":"pith_short_12","alias_value":"MHWR2IA3RAS3","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MHWR2IA3RAS344ZD","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MHWR2IA3","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:b04a9211498d69a3fdbc466b8c4efe746d6f889b37638d97112b06587ff1c134","target":"graph","created_at":"2026-05-18T04:40:30Z","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 prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result of Dorlas of the completeness of the Bethe ansatz eigenfunctions of the quantum Bose gas on the circle with repulsive delta-function interaction.","authors_text":"E. Emsiz","cross_cats":["math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-22T21:38:02Z","title":"Completeness of the Bethe ansatz on Weyl alcoves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4487","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":"sha256:7da62ccfddccb03efaef5a30f1daf8e11e5c617cf7bbf2b0f8f58d012eedb834","target":"record","created_at":"2026-05-18T04:40:30Z","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":"ec26fc56530ac97ceb85407ddfbb2eb400fb76d1607918e7124176d90372a63d","cross_cats_sorted":["math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-22T21:38:02Z","title_canon_sha256":"5c1a0accf1fd2d452bc2552d2ddaf54a8a909ecb37669f608fcc0a15d513fbd7"},"schema_version":"1.0","source":{"id":"1009.4487","kind":"arxiv","version":1}},"canonical_sha256":"61ed1d201b8825be7323b3c898fdda5f32274a7ab124e859485e774e3ccd0492","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61ed1d201b8825be7323b3c898fdda5f32274a7ab124e859485e774e3ccd0492","first_computed_at":"2026-05-18T04:40:30.352985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:30.352985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"THwlTJwcabG9n+xwd/kOnh40UHBqGIDBr5DOU8HmBk9VWbYNwixEBWoSrvvc8UU9g4BYlxKnoLnrsXIzFS/4CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:30.353784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7da62ccfddccb03efaef5a30f1daf8e11e5c617cf7bbf2b0f8f58d012eedb834","sha256:b04a9211498d69a3fdbc466b8c4efe746d6f889b37638d97112b06587ff1c134"],"state_sha256":"23222f38a73ef6ece19cf3b4efe9ad33fde0805ca07e9fc7fa13ec1b43b0b6ca"}