{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:5J6YA24HRCKHDNBABYZ23HAPJD","short_pith_number":"pith:5J6YA24H","canonical_record":{"source":{"id":"2310.14966","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-23T14:10:41Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"3ee85265103d53a5004a9d80774b514a0e44f8e36f5d962daa082bd9fe58f84a","abstract_canon_sha256":"484d8012b79ba7cc71df49acfc63e0b52ec3c1e7e7e5c18bd24ea3eca585c2b8"},"schema_version":"1.0"},"canonical_sha256":"ea7d806b87889471b4200e33ad9c0f48df5c6a533c76e4051c03c5025df8af7a","source":{"kind":"arxiv","id":"2310.14966","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.14966","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"2310.14966v3","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.14966","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"5J6YA24HRCKH","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"pith_short_16","alias_value":"5J6YA24HRCKHDNBA","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"pith_short_8","alias_value":"5J6YA24H","created_at":"2026-07-05T08:23:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:5J6YA24HRCKHDNBABYZ23HAPJD","target":"record","payload":{"canonical_record":{"source":{"id":"2310.14966","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-23T14:10:41Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"3ee85265103d53a5004a9d80774b514a0e44f8e36f5d962daa082bd9fe58f84a","abstract_canon_sha256":"484d8012b79ba7cc71df49acfc63e0b52ec3c1e7e7e5c18bd24ea3eca585c2b8"},"schema_version":"1.0"},"canonical_sha256":"ea7d806b87889471b4200e33ad9c0f48df5c6a533c76e4051c03c5025df8af7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:23:57.022981Z","signature_b64":"FDwgiDG5UNNIZXMrFFpsKC38/XGRcmSd2xQNsISU8zz7jDMCIaVG/RbN7mVef92nUU9gx/Rauh06KWd7swU7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea7d806b87889471b4200e33ad9c0f48df5c6a533c76e4051c03c5025df8af7a","last_reissued_at":"2026-07-05T08:23:57.022493Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:23:57.022493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.14966","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":"2026-07-05T08:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MDmJPUhGPoSomKXAqAXIDgMjLSpGPxI+kTpgxG+8dL7Mh9Uas9vUdrV4tOhy5mw4+YeC2S4iYTtBxQGFiivvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:49:32.410713Z"},"content_sha256":"04bc41b6b40b1130f80e1f933cef7cfaf3de0ba947b8f3e6a46e3dd538d8c1bf","schema_version":"1.0","event_id":"sha256:04bc41b6b40b1130f80e1f933cef7cfaf3de0ba947b8f3e6a46e3dd538d8c1bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:5J6YA24HRCKHDNBABYZ23HAPJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rational Q-systems at Root of Unity I. Closed Chains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Jue Hou, Yuan Miao, Yunfeng Jiang","submitted_at":"2023-10-23T14:10:41Z","abstract_excerpt":"The solution of Bethe ansatz equations for XXZ spin chain with the parameter $q$ being a root of unity is infamously subtle. In this work, we develop the rational $Q$-system for this case, which offers a systematic way to find all physical solutions of the Bethe ansatz equations at root of unity. The construction contains two parts. In the first part, we impose additional constraints to the rational $Q$-system. These constraints eliminate the so-called Fabricius-McCoy (FM) string solutions, yielding all primitive solutions. In the second part, we give a simple procedure to construct the descen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.14966","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/2310.14966/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":"2026-07-05T08:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kchrNh4DD3o6ezceAYO1ynq2sNdOAM//f7yC6E5k+cykgqa/UwF2Jk+CvNjtq9duO6nBccbOHTMBbsBGzptQCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:49:32.411219Z"},"content_sha256":"d29cb87dc2e65e50b4dd325b366829169da010ecc9924016e751b3bc744869ec","schema_version":"1.0","event_id":"sha256:d29cb87dc2e65e50b4dd325b366829169da010ecc9924016e751b3bc744869ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5J6YA24HRCKHDNBABYZ23HAPJD/bundle.json","state_url":"https://pith.science/pith/5J6YA24HRCKHDNBABYZ23HAPJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5J6YA24HRCKHDNBABYZ23HAPJD/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":"2026-08-05T06:49:32Z","links":{"resolver":"https://pith.science/pith/5J6YA24HRCKHDNBABYZ23HAPJD","bundle":"https://pith.science/pith/5J6YA24HRCKHDNBABYZ23HAPJD/bundle.json","state":"https://pith.science/pith/5J6YA24HRCKHDNBABYZ23HAPJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5J6YA24HRCKHDNBABYZ23HAPJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5J6YA24HRCKHDNBABYZ23HAPJD","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":"484d8012b79ba7cc71df49acfc63e0b52ec3c1e7e7e5c18bd24ea3eca585c2b8","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-23T14:10:41Z","title_canon_sha256":"3ee85265103d53a5004a9d80774b514a0e44f8e36f5d962daa082bd9fe58f84a"},"schema_version":"1.0","source":{"id":"2310.14966","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.14966","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"2310.14966v3","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.14966","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"5J6YA24HRCKH","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"pith_short_16","alias_value":"5J6YA24HRCKHDNBA","created_at":"2026-07-05T08:23:57Z"},{"alias_kind":"pith_short_8","alias_value":"5J6YA24H","created_at":"2026-07-05T08:23:57Z"}],"graph_snapshots":[{"event_id":"sha256:d29cb87dc2e65e50b4dd325b366829169da010ecc9924016e751b3bc744869ec","target":"graph","created_at":"2026-07-05T08:23:57Z","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/2310.14966/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The solution of Bethe ansatz equations for XXZ spin chain with the parameter $q$ being a root of unity is infamously subtle. In this work, we develop the rational $Q$-system for this case, which offers a systematic way to find all physical solutions of the Bethe ansatz equations at root of unity. The construction contains two parts. In the first part, we impose additional constraints to the rational $Q$-system. These constraints eliminate the so-called Fabricius-McCoy (FM) string solutions, yielding all primitive solutions. In the second part, we give a simple procedure to construct the descen","authors_text":"Jue Hou, Yuan Miao, Yunfeng Jiang","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-23T14:10:41Z","title":"Rational Q-systems at Root of Unity I. Closed Chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.14966","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":"sha256:04bc41b6b40b1130f80e1f933cef7cfaf3de0ba947b8f3e6a46e3dd538d8c1bf","target":"record","created_at":"2026-07-05T08:23:57Z","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":"484d8012b79ba7cc71df49acfc63e0b52ec3c1e7e7e5c18bd24ea3eca585c2b8","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-23T14:10:41Z","title_canon_sha256":"3ee85265103d53a5004a9d80774b514a0e44f8e36f5d962daa082bd9fe58f84a"},"schema_version":"1.0","source":{"id":"2310.14966","kind":"arxiv","version":3}},"canonical_sha256":"ea7d806b87889471b4200e33ad9c0f48df5c6a533c76e4051c03c5025df8af7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea7d806b87889471b4200e33ad9c0f48df5c6a533c76e4051c03c5025df8af7a","first_computed_at":"2026-07-05T08:23:57.022493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:23:57.022493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FDwgiDG5UNNIZXMrFFpsKC38/XGRcmSd2xQNsISU8zz7jDMCIaVG/RbN7mVef92nUU9gx/Rauh06KWd7swU7BA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:23:57.022981Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.14966","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04bc41b6b40b1130f80e1f933cef7cfaf3de0ba947b8f3e6a46e3dd538d8c1bf","sha256:d29cb87dc2e65e50b4dd325b366829169da010ecc9924016e751b3bc744869ec"],"state_sha256":"3485c9fda3810d5019e39f90a74b89af6072442e7dac559b982acd204dfc3dc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j1olqapErWOqpyVHSPPcDsdqGhoeKZR32AyCtzvcwo6sC/t6djAZURk0R2o+4ZXCUCivXPSP6BuRHPWatYMACw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T06:49:32.416536Z","bundle_sha256":"34632f9e905186952d1511014ebab995d8466f936283475e10c20187a0a649b5"}}