{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:ADCLAWZDNJ66O2AEJAKPXDQATY","short_pith_number":"pith:ADCLAWZD","canonical_record":{"source":{"id":"2202.01591","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-02-03T13:56:37Z","cross_cats_sorted":["math-ph","math.MP","math.QA","nlin.SI"],"title_canon_sha256":"6b7b1310ba5f904e8b91d588a96afaf687ff6c614e9795b8bf0a559c18c14cb7","abstract_canon_sha256":"2ddb2741de53b718d0697dccd95b45c556672da65abe0a455b1a8cda0c0ff54f"},"schema_version":"1.0"},"canonical_sha256":"00c4b05b236a7de768044814fb8e009e17802584f3890d3efb5a1daee3c3ef27","source":{"kind":"arxiv","id":"2202.01591","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.01591","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"arxiv_version","alias_value":"2202.01591v3","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.01591","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"pith_short_12","alias_value":"ADCLAWZDNJ66","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"pith_short_16","alias_value":"ADCLAWZDNJ66O2AE","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"pith_short_8","alias_value":"ADCLAWZD","created_at":"2026-07-05T05:20:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:ADCLAWZDNJ66O2AEJAKPXDQATY","target":"record","payload":{"canonical_record":{"source":{"id":"2202.01591","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-02-03T13:56:37Z","cross_cats_sorted":["math-ph","math.MP","math.QA","nlin.SI"],"title_canon_sha256":"6b7b1310ba5f904e8b91d588a96afaf687ff6c614e9795b8bf0a559c18c14cb7","abstract_canon_sha256":"2ddb2741de53b718d0697dccd95b45c556672da65abe0a455b1a8cda0c0ff54f"},"schema_version":"1.0"},"canonical_sha256":"00c4b05b236a7de768044814fb8e009e17802584f3890d3efb5a1daee3c3ef27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:20:34.555729Z","signature_b64":"4JhoxJrtKXLP10FWcW1wntSd2U1IPSmirxEyYqN+CqJ/9ITsWroqBBEJynnh78AFydaUErKuDB151ZxhQoZvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00c4b05b236a7de768044814fb8e009e17802584f3890d3efb5a1daee3c3ef27","last_reissued_at":"2026-07-05T05:20:34.555253Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:20:34.555253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.01591","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:20:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NvmFkKyipgCjg5sOh2g+x0f73t0H04lwL1qRSrs9GciR052IEMZFU2P2hOjfSllZbPOJIu42ahbsIhf15/hrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T07:24:39.354954Z"},"content_sha256":"42a9046d40ace80e860f465e8e0747b1b4cc84d07381b4cbf62103a0feeea2b6","schema_version":"1.0","event_id":"sha256:42a9046d40ace80e860f465e8e0747b1b4cc84d07381b4cbf62103a0feeea2b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:ADCLAWZDNJ66O2AEJAKPXDQATY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Form-factors and complete basis of observables via separation of variables for higher rank spin chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA","nlin.SI"],"primary_cat":"hep-th","authors_text":"Nicolo Primi, Nikolay Gromov, Paul Ryan","submitted_at":"2022-02-03T13:56:37Z","abstract_excerpt":"Integrable sl(N) spin chains, which we consider in this paper, are not only the prototypical example of quantum integrable systems but also systems with a wide range of applications. For these models we use the Functional Separation of Variables (FSoV) technique with a new tool called Character Projection to compute all matrix elements of a complete set of operators, which we call principal operators, in the basis diagonalising the tower of conserved charges as determinants in Q-functions. Building up on these results we then derive similar determinant forms for the form-factors of combination"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.01591","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.01591/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:20:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"buB+bh7TZTTA7Lu4+jPFOTVatUMO+mkvXtFGEbanwGV6LzaeKSWZ//fcVRDVRgJtCUHw+RpWM6PETWKjkUaSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T07:24:39.355468Z"},"content_sha256":"239ec44b434d61aaa11150fcef2c85ddec9e616649c6dc525cd9b2855f73447f","schema_version":"1.0","event_id":"sha256:239ec44b434d61aaa11150fcef2c85ddec9e616649c6dc525cd9b2855f73447f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ADCLAWZDNJ66O2AEJAKPXDQATY/bundle.json","state_url":"https://pith.science/pith/ADCLAWZDNJ66O2AEJAKPXDQATY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ADCLAWZDNJ66O2AEJAKPXDQATY/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":"2026-08-12T07:24:39Z","links":{"resolver":"https://pith.science/pith/ADCLAWZDNJ66O2AEJAKPXDQATY","bundle":"https://pith.science/pith/ADCLAWZDNJ66O2AEJAKPXDQATY/bundle.json","state":"https://pith.science/pith/ADCLAWZDNJ66O2AEJAKPXDQATY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ADCLAWZDNJ66O2AEJAKPXDQATY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:ADCLAWZDNJ66O2AEJAKPXDQATY","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":"2ddb2741de53b718d0697dccd95b45c556672da65abe0a455b1a8cda0c0ff54f","cross_cats_sorted":["math-ph","math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-02-03T13:56:37Z","title_canon_sha256":"6b7b1310ba5f904e8b91d588a96afaf687ff6c614e9795b8bf0a559c18c14cb7"},"schema_version":"1.0","source":{"id":"2202.01591","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.01591","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"arxiv_version","alias_value":"2202.01591v3","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.01591","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"pith_short_12","alias_value":"ADCLAWZDNJ66","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"pith_short_16","alias_value":"ADCLAWZDNJ66O2AE","created_at":"2026-07-05T05:20:34Z"},{"alias_kind":"pith_short_8","alias_value":"ADCLAWZD","created_at":"2026-07-05T05:20:34Z"}],"graph_snapshots":[{"event_id":"sha256:239ec44b434d61aaa11150fcef2c85ddec9e616649c6dc525cd9b2855f73447f","target":"graph","created_at":"2026-07-05T05:20:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2202.01591/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Integrable sl(N) spin chains, which we consider in this paper, are not only the prototypical example of quantum integrable systems but also systems with a wide range of applications. For these models we use the Functional Separation of Variables (FSoV) technique with a new tool called Character Projection to compute all matrix elements of a complete set of operators, which we call principal operators, in the basis diagonalising the tower of conserved charges as determinants in Q-functions. Building up on these results we then derive similar determinant forms for the form-factors of combination","authors_text":"Nicolo Primi, Nikolay Gromov, Paul Ryan","cross_cats":["math-ph","math.MP","math.QA","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-02-03T13:56:37Z","title":"Form-factors and complete basis of observables via separation of variables for higher rank spin chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.01591","kind":"arxiv","version":3},"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":"sha256:42a9046d40ace80e860f465e8e0747b1b4cc84d07381b4cbf62103a0feeea2b6","target":"record","created_at":"2026-07-05T05:20:34Z","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":"2ddb2741de53b718d0697dccd95b45c556672da65abe0a455b1a8cda0c0ff54f","cross_cats_sorted":["math-ph","math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-02-03T13:56:37Z","title_canon_sha256":"6b7b1310ba5f904e8b91d588a96afaf687ff6c614e9795b8bf0a559c18c14cb7"},"schema_version":"1.0","source":{"id":"2202.01591","kind":"arxiv","version":3}},"canonical_sha256":"00c4b05b236a7de768044814fb8e009e17802584f3890d3efb5a1daee3c3ef27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00c4b05b236a7de768044814fb8e009e17802584f3890d3efb5a1daee3c3ef27","first_computed_at":"2026-07-05T05:20:34.555253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:20:34.555253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4JhoxJrtKXLP10FWcW1wntSd2U1IPSmirxEyYqN+CqJ/9ITsWroqBBEJynnh78AFydaUErKuDB151ZxhQoZvCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:20:34.555729Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.01591","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42a9046d40ace80e860f465e8e0747b1b4cc84d07381b4cbf62103a0feeea2b6","sha256:239ec44b434d61aaa11150fcef2c85ddec9e616649c6dc525cd9b2855f73447f"],"state_sha256":"a549ba2cd4489f5aad79508bda70d7f68af358c4d3e376bf05a0cca7a98e300d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NE2pKxN7Dp1KMnYEDs6rVXOBCO5yxTu2cM5m5Ok0875PNqcvrtS/ACHKgCVGG8AsgWLmEBFlH9DkFWJQO7FNDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T07:24:39.359311Z","bundle_sha256":"3a0e295aaed66a23418c7b83fbe57888dc5ce7b462b73d4e6896f843990adf36"}}