{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GYJ2B2TM2UZDT24WQJCAMQKLA3","short_pith_number":"pith:GYJ2B2TM","canonical_record":{"source":{"id":"1809.04447","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-11T09:55:26Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"10d8ef94e94cddb2514940eb09981a339d746ca72546a73913df494dc6e9f7f9","abstract_canon_sha256":"de6d1a05d8423d1f9280135e2b6055ec19f7175024bbe157f190a5ed27c8e73a"},"schema_version":"1.0"},"canonical_sha256":"3613a0ea6cd53239eb96824406414b06d07f965284a35fe042adf48b0202a5c4","source":{"kind":"arxiv","id":"1809.04447","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.04447","created_at":"2026-05-18T00:05:52Z"},{"alias_kind":"arxiv_version","alias_value":"1809.04447v1","created_at":"2026-05-18T00:05:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.04447","created_at":"2026-05-18T00:05:52Z"},{"alias_kind":"pith_short_12","alias_value":"GYJ2B2TM2UZD","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GYJ2B2TM2UZDT24W","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GYJ2B2TM","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GYJ2B2TM2UZDT24WQJCAMQKLA3","target":"record","payload":{"canonical_record":{"source":{"id":"1809.04447","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-11T09:55:26Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"10d8ef94e94cddb2514940eb09981a339d746ca72546a73913df494dc6e9f7f9","abstract_canon_sha256":"de6d1a05d8423d1f9280135e2b6055ec19f7175024bbe157f190a5ed27c8e73a"},"schema_version":"1.0"},"canonical_sha256":"3613a0ea6cd53239eb96824406414b06d07f965284a35fe042adf48b0202a5c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:52.368756Z","signature_b64":"k7mLheaNoisa/e6cmlsD/ZxTttchwQhgs+jGHU77A2JwbaJlPMDvvVSmgB5u1pJYU/KD1f2Ixo+QVCkqUYE9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3613a0ea6cd53239eb96824406414b06d07f965284a35fe042adf48b0202a5c4","last_reissued_at":"2026-05-18T00:05:52.368047Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:52.368047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.04447","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:05:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sTk/RUz5bValX6qNpeybQNN9Ls2njMUq89s8sW3PClZquUmoKA3Aq9ud6XQszYGUhU53BAsECzv/006WutauDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:08:23.195062Z"},"content_sha256":"ccf18f87d99909d3ebc7aba622df55461791750fe6cf17aac448dd858b294817","schema_version":"1.0","event_id":"sha256:ccf18f87d99909d3ebc7aba622df55461791750fe6cf17aac448dd858b294817"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GYJ2B2TM2UZDT24WQJCAMQKLA3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Richardson-Gaudin models and broken integrability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math.MP","nlin.SI","quant-ph"],"primary_cat":"math-ph","authors_text":"Pieter W. Claeys","submitted_at":"2018-09-11T09:55:26Z","abstract_excerpt":"This thesis presents an introduction to the class of Richardson-Gaudin integrable models, with special focus on the Bethe ansatz wave function, and investigates ways of applying the properties of Richardson-Gaudin models both in and out of integrability. A framework is outlined for the numerical and theoretical treatment of these systems, exposing a duality allowing the Bethe equations to be solved numerically. This is extended to the calculation of inner products and correlation functions. Using this framework, the influence of particle exchange on the Bethe ansatz is discussed, after which i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.04447","kind":"arxiv","version":1},"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":"2026-05-18T00:05:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ndBORT7EFiUC6vsnWREBZsrn5QgJegfoKhbSjqA1HJCQP6ePB+3So0G7Y1z8ocAIJ3D44uShl3sqxq3jQwVJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:08:23.195426Z"},"content_sha256":"5d0f93e752dba33e487e1f1b2391d07b268fdfbf1e0da3fffb0525df03345eef","schema_version":"1.0","event_id":"sha256:5d0f93e752dba33e487e1f1b2391d07b268fdfbf1e0da3fffb0525df03345eef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GYJ2B2TM2UZDT24WQJCAMQKLA3/bundle.json","state_url":"https://pith.science/pith/GYJ2B2TM2UZDT24WQJCAMQKLA3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GYJ2B2TM2UZDT24WQJCAMQKLA3/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":"2026-07-04T23:08:23Z","links":{"resolver":"https://pith.science/pith/GYJ2B2TM2UZDT24WQJCAMQKLA3","bundle":"https://pith.science/pith/GYJ2B2TM2UZDT24WQJCAMQKLA3/bundle.json","state":"https://pith.science/pith/GYJ2B2TM2UZDT24WQJCAMQKLA3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GYJ2B2TM2UZDT24WQJCAMQKLA3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GYJ2B2TM2UZDT24WQJCAMQKLA3","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":"de6d1a05d8423d1f9280135e2b6055ec19f7175024bbe157f190a5ed27c8e73a","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-11T09:55:26Z","title_canon_sha256":"10d8ef94e94cddb2514940eb09981a339d746ca72546a73913df494dc6e9f7f9"},"schema_version":"1.0","source":{"id":"1809.04447","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.04447","created_at":"2026-05-18T00:05:52Z"},{"alias_kind":"arxiv_version","alias_value":"1809.04447v1","created_at":"2026-05-18T00:05:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.04447","created_at":"2026-05-18T00:05:52Z"},{"alias_kind":"pith_short_12","alias_value":"GYJ2B2TM2UZD","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GYJ2B2TM2UZDT24W","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GYJ2B2TM","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:5d0f93e752dba33e487e1f1b2391d07b268fdfbf1e0da3fffb0525df03345eef","target":"graph","created_at":"2026-05-18T00:05:52Z","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":"This thesis presents an introduction to the class of Richardson-Gaudin integrable models, with special focus on the Bethe ansatz wave function, and investigates ways of applying the properties of Richardson-Gaudin models both in and out of integrability. A framework is outlined for the numerical and theoretical treatment of these systems, exposing a duality allowing the Bethe equations to be solved numerically. This is extended to the calculation of inner products and correlation functions. Using this framework, the influence of particle exchange on the Bethe ansatz is discussed, after which i","authors_text":"Pieter W. Claeys","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math.MP","nlin.SI","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-11T09:55:26Z","title":"Richardson-Gaudin models and broken integrability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.04447","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:ccf18f87d99909d3ebc7aba622df55461791750fe6cf17aac448dd858b294817","target":"record","created_at":"2026-05-18T00:05:52Z","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":"de6d1a05d8423d1f9280135e2b6055ec19f7175024bbe157f190a5ed27c8e73a","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-11T09:55:26Z","title_canon_sha256":"10d8ef94e94cddb2514940eb09981a339d746ca72546a73913df494dc6e9f7f9"},"schema_version":"1.0","source":{"id":"1809.04447","kind":"arxiv","version":1}},"canonical_sha256":"3613a0ea6cd53239eb96824406414b06d07f965284a35fe042adf48b0202a5c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3613a0ea6cd53239eb96824406414b06d07f965284a35fe042adf48b0202a5c4","first_computed_at":"2026-05-18T00:05:52.368047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:52.368047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k7mLheaNoisa/e6cmlsD/ZxTttchwQhgs+jGHU77A2JwbaJlPMDvvVSmgB5u1pJYU/KD1f2Ixo+QVCkqUYE9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:52.368756Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.04447","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccf18f87d99909d3ebc7aba622df55461791750fe6cf17aac448dd858b294817","sha256:5d0f93e752dba33e487e1f1b2391d07b268fdfbf1e0da3fffb0525df03345eef"],"state_sha256":"ba2f6c0f99047c937903cb7c58fef6470718a5942023309bff8fab9535ac0555"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3suPq0dNgkHYIeh0CjqzD3phHpTVLPoU0M2wbGP66MuQU9D1ERzi/zFOXrYLhwXmiHOkJl52BScwgH1GDTWGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T23:08:23.197465Z","bundle_sha256":"7425f8fb27d3a2ceb93db172e272f7edb089e170e08e4d41a5e23213c8b576ef"}}