{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HKNWRKSDRXG5KICD3EOWF3UUWA","short_pith_number":"pith:HKNWRKSD","canonical_record":{"source":{"id":"1710.08490","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-10-23T20:14:57Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"46563edb4e9928ed37355b9d227e3e386b0ee2dcac46df857b809fc8210b104b","abstract_canon_sha256":"d22c4a2d791682d9e4c7eb55116d1aa0525883fa5d81c629ba662d0f4ef75347"},"schema_version":"1.0"},"canonical_sha256":"3a9b68aa438dcdd52043d91d62ee94b006e17b4fcc4c3db80a960069aaff65e3","source":{"kind":"arxiv","id":"1710.08490","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08490","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08490v2","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08490","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"HKNWRKSDRXG5","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HKNWRKSDRXG5KICD","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HKNWRKSD","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HKNWRKSDRXG5KICD3EOWF3UUWA","target":"record","payload":{"canonical_record":{"source":{"id":"1710.08490","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-10-23T20:14:57Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"46563edb4e9928ed37355b9d227e3e386b0ee2dcac46df857b809fc8210b104b","abstract_canon_sha256":"d22c4a2d791682d9e4c7eb55116d1aa0525883fa5d81c629ba662d0f4ef75347"},"schema_version":"1.0"},"canonical_sha256":"3a9b68aa438dcdd52043d91d62ee94b006e17b4fcc4c3db80a960069aaff65e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:04.448730Z","signature_b64":"VjeFH55xguR1zGJqz1dnJOOkOOWD9IPQ/X/pKHRMM7dakaAl0G7mD+QCQz+h0ona4zjUj8ZD2BPdCTmotfxHAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a9b68aa438dcdd52043d91d62ee94b006e17b4fcc4c3db80a960069aaff65e3","last_reissued_at":"2026-05-18T00:28:04.448028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:04.448028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.08490","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AR9LguFZVaDy27f00gOvE6m4/A9OpyHTV4NC6bJxTITTIXyl91NObbDf2+n7ZYKwfQ5FFTeQv0gkcyYBkC8NBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:20:38.575922Z"},"content_sha256":"511e9e041a7764eb256cef93768c2393ac53cecaa98792011d031023ea338d9c","schema_version":"1.0","event_id":"sha256:511e9e041a7764eb256cef93768c2393ac53cecaa98792011d031023ea338d9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HKNWRKSDRXG5KICD3EOWF3UUWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Nicolas Crampe","submitted_at":"2017-10-23T20:14:57Z","abstract_excerpt":"We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed for all the cases. For the chain with even length, inhomogeneous Bethe equations are necessary. The higher spin Gaudin models with generic boundary is also treated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08490","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WOW8dDJJErdWDsmz8gev4FqKb5ziVdrsdel/Bbnzpc+oT7c7zQ9vDm952+amyEPmQJMOKdlTqF3eRSy205koAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:20:38.576266Z"},"content_sha256":"402076ca2e8730baae9644ef550117e95edd65bd6c15a648fecc60680aa33d52","schema_version":"1.0","event_id":"sha256:402076ca2e8730baae9644ef550117e95edd65bd6c15a648fecc60680aa33d52"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HKNWRKSDRXG5KICD3EOWF3UUWA/bundle.json","state_url":"https://pith.science/pith/HKNWRKSDRXG5KICD3EOWF3UUWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HKNWRKSDRXG5KICD3EOWF3UUWA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T11:20:38Z","links":{"resolver":"https://pith.science/pith/HKNWRKSDRXG5KICD3EOWF3UUWA","bundle":"https://pith.science/pith/HKNWRKSDRXG5KICD3EOWF3UUWA/bundle.json","state":"https://pith.science/pith/HKNWRKSDRXG5KICD3EOWF3UUWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HKNWRKSDRXG5KICD3EOWF3UUWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HKNWRKSDRXG5KICD3EOWF3UUWA","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":"d22c4a2d791682d9e4c7eb55116d1aa0525883fa5d81c629ba662d0f4ef75347","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-10-23T20:14:57Z","title_canon_sha256":"46563edb4e9928ed37355b9d227e3e386b0ee2dcac46df857b809fc8210b104b"},"schema_version":"1.0","source":{"id":"1710.08490","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08490","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08490v2","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08490","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"HKNWRKSDRXG5","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HKNWRKSDRXG5KICD","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HKNWRKSD","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:402076ca2e8730baae9644ef550117e95edd65bd6c15a648fecc60680aa33d52","target":"graph","created_at":"2026-05-18T00:28:04Z","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 solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed for all the cases. For the chain with even length, inhomogeneous Bethe equations are necessary. The higher spin Gaudin models with generic boundary is also treated.","authors_text":"Nicolas Crampe","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-10-23T20:14:57Z","title":"Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08490","kind":"arxiv","version":2},"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":"sha256:511e9e041a7764eb256cef93768c2393ac53cecaa98792011d031023ea338d9c","target":"record","created_at":"2026-05-18T00:28:04Z","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":"d22c4a2d791682d9e4c7eb55116d1aa0525883fa5d81c629ba662d0f4ef75347","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-10-23T20:14:57Z","title_canon_sha256":"46563edb4e9928ed37355b9d227e3e386b0ee2dcac46df857b809fc8210b104b"},"schema_version":"1.0","source":{"id":"1710.08490","kind":"arxiv","version":2}},"canonical_sha256":"3a9b68aa438dcdd52043d91d62ee94b006e17b4fcc4c3db80a960069aaff65e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a9b68aa438dcdd52043d91d62ee94b006e17b4fcc4c3db80a960069aaff65e3","first_computed_at":"2026-05-18T00:28:04.448028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:04.448028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VjeFH55xguR1zGJqz1dnJOOkOOWD9IPQ/X/pKHRMM7dakaAl0G7mD+QCQz+h0ona4zjUj8ZD2BPdCTmotfxHAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:04.448730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08490","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:511e9e041a7764eb256cef93768c2393ac53cecaa98792011d031023ea338d9c","sha256:402076ca2e8730baae9644ef550117e95edd65bd6c15a648fecc60680aa33d52"],"state_sha256":"8ba741216f4a553177aea44bd1c4ceb27cf36670613970aa6551abd3e4f74495"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nL2aj0RTbkzcbDsLb1+mUpDBfTP6SCll2w0mpZoDYcjHg4jgs3I/vj9A1EVZSCsH8dJHHvX/MAs9hXaQZg3OAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T11:20:38.578206Z","bundle_sha256":"4800ed0efe838585b237e099f1f8f467114d91a86490fd914db9e80c0c832943"}}