{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:I6SXDBD5NNPDZAXKAVKRGK3SSO","short_pith_number":"pith:I6SXDBD5","canonical_record":{"source":{"id":"2512.01551","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-01T11:25:06Z","cross_cats_sorted":[],"title_canon_sha256":"d4dfdb688c3b56b9ff20b1ee9019aec32d13f661fca0f557db8e80dc269769c5","abstract_canon_sha256":"608ee9ede485dc2a471af681e7a475fd6d8d070b0aa3fec3f0762fca2164d27f"},"schema_version":"1.0"},"canonical_sha256":"47a571847d6b5e3c82ea0555132b7293a6fc0a3d42baa227dc9276728920698a","source":{"kind":"arxiv","id":"2512.01551","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.01551","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"2512.01551v1","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.01551","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"I6SXDBD5NNPD","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"pith_short_16","alias_value":"I6SXDBD5NNPDZAXK","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"pith_short_8","alias_value":"I6SXDBD5","created_at":"2026-06-24T14:15:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:I6SXDBD5NNPDZAXKAVKRGK3SSO","target":"record","payload":{"canonical_record":{"source":{"id":"2512.01551","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-01T11:25:06Z","cross_cats_sorted":[],"title_canon_sha256":"d4dfdb688c3b56b9ff20b1ee9019aec32d13f661fca0f557db8e80dc269769c5","abstract_canon_sha256":"608ee9ede485dc2a471af681e7a475fd6d8d070b0aa3fec3f0762fca2164d27f"},"schema_version":"1.0"},"canonical_sha256":"47a571847d6b5e3c82ea0555132b7293a6fc0a3d42baa227dc9276728920698a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T14:15:53.437372Z","signature_b64":"eAGb6LNqx9899mdMflJAyyYLsvXh2j485bcrSZ2SyTG+CjH8yeyXPAQB6m/7DF8ksjeUHRIvHeT7N73TXBEuBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47a571847d6b5e3c82ea0555132b7293a6fc0a3d42baa227dc9276728920698a","last_reissued_at":"2026-06-24T14:15:53.436854Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T14:15:53.436854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.01551","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":"2026-06-24T14:15:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nns0YqUyF1pbu8vc8kn0XHyqcAZo9bt3CcpguKmKNPqqCZghQfjIWU5zYMbvKEA6HeDwNYDL8xjSiS9cUnrgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:56:26.658241Z"},"content_sha256":"533f160ea690f9757f9864d0c12ad3e465a40ba7e3991d106ffd17dfc25453d8","schema_version":"1.0","event_id":"sha256:533f160ea690f9757f9864d0c12ad3e465a40ba7e3991d106ffd17dfc25453d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:I6SXDBD5NNPDZAXKAVKRGK3SSO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rational $Q$-systems for integrable spin chains without $U(1)$ symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yi-Chao Liu, Yuan Miao, Yunfeng Jiang, Zi-Xi Tan","submitted_at":"2025-12-01T11:25:06Z","abstract_excerpt":"The $Q$-system is an efficient method for finding complete physical solutions of Bethe ansatz equations, but so far its application has been confined to systems possessing $U(1)$ symmetry. We extend the rational $Q$-system framework to integrable spin chains without $U(1)$ symmetry, exemplified by the closed XXZ model with anti-diagonal twists and the open XXZ model with non-diagonal boundary fields. We demonstrate that the $Q$-system can be derived by combining $TQ$-relation with fusion relations of higher-spin transfer matrices. This yields $QQ$-relations analogous to the $U(1)$ symmetric ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.01551","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.01551/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":"2026-06-24T14:15:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6EQzqAaasYMa0Wy5x6KXGruQSPxVtwAI/JCj5DWg6QyCoHNhW9yt0RbBXVQ2DaR95UOIwB7rT93x0puhCtqmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:56:26.658646Z"},"content_sha256":"ff15fd18f673576643a5ae0f69880fb54567272dd0269a21b90870d8862b5ce0","schema_version":"1.0","event_id":"sha256:ff15fd18f673576643a5ae0f69880fb54567272dd0269a21b90870d8862b5ce0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I6SXDBD5NNPDZAXKAVKRGK3SSO/bundle.json","state_url":"https://pith.science/pith/I6SXDBD5NNPDZAXKAVKRGK3SSO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I6SXDBD5NNPDZAXKAVKRGK3SSO/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":"2026-07-04T07:56:26Z","links":{"resolver":"https://pith.science/pith/I6SXDBD5NNPDZAXKAVKRGK3SSO","bundle":"https://pith.science/pith/I6SXDBD5NNPDZAXKAVKRGK3SSO/bundle.json","state":"https://pith.science/pith/I6SXDBD5NNPDZAXKAVKRGK3SSO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I6SXDBD5NNPDZAXKAVKRGK3SSO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:I6SXDBD5NNPDZAXKAVKRGK3SSO","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":"608ee9ede485dc2a471af681e7a475fd6d8d070b0aa3fec3f0762fca2164d27f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-01T11:25:06Z","title_canon_sha256":"d4dfdb688c3b56b9ff20b1ee9019aec32d13f661fca0f557db8e80dc269769c5"},"schema_version":"1.0","source":{"id":"2512.01551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.01551","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"2512.01551v1","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.01551","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"I6SXDBD5NNPD","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"pith_short_16","alias_value":"I6SXDBD5NNPDZAXK","created_at":"2026-06-24T14:15:53Z"},{"alias_kind":"pith_short_8","alias_value":"I6SXDBD5","created_at":"2026-06-24T14:15:53Z"}],"graph_snapshots":[{"event_id":"sha256:ff15fd18f673576643a5ae0f69880fb54567272dd0269a21b90870d8862b5ce0","target":"graph","created_at":"2026-06-24T14:15:53Z","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/2512.01551/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The $Q$-system is an efficient method for finding complete physical solutions of Bethe ansatz equations, but so far its application has been confined to systems possessing $U(1)$ symmetry. We extend the rational $Q$-system framework to integrable spin chains without $U(1)$ symmetry, exemplified by the closed XXZ model with anti-diagonal twists and the open XXZ model with non-diagonal boundary fields. We demonstrate that the $Q$-system can be derived by combining $TQ$-relation with fusion relations of higher-spin transfer matrices. This yields $QQ$-relations analogous to the $U(1)$ symmetric ca","authors_text":"Yi-Chao Liu, Yuan Miao, Yunfeng Jiang, Zi-Xi Tan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-01T11:25:06Z","title":"Rational $Q$-systems for integrable spin chains without $U(1)$ symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.01551","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":"sha256:533f160ea690f9757f9864d0c12ad3e465a40ba7e3991d106ffd17dfc25453d8","target":"record","created_at":"2026-06-24T14:15:53Z","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":"608ee9ede485dc2a471af681e7a475fd6d8d070b0aa3fec3f0762fca2164d27f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-01T11:25:06Z","title_canon_sha256":"d4dfdb688c3b56b9ff20b1ee9019aec32d13f661fca0f557db8e80dc269769c5"},"schema_version":"1.0","source":{"id":"2512.01551","kind":"arxiv","version":1}},"canonical_sha256":"47a571847d6b5e3c82ea0555132b7293a6fc0a3d42baa227dc9276728920698a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47a571847d6b5e3c82ea0555132b7293a6fc0a3d42baa227dc9276728920698a","first_computed_at":"2026-06-24T14:15:53.436854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T14:15:53.436854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eAGb6LNqx9899mdMflJAyyYLsvXh2j485bcrSZ2SyTG+CjH8yeyXPAQB6m/7DF8ksjeUHRIvHeT7N73TXBEuBQ==","signature_status":"signed_v1","signed_at":"2026-06-24T14:15:53.437372Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.01551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:533f160ea690f9757f9864d0c12ad3e465a40ba7e3991d106ffd17dfc25453d8","sha256:ff15fd18f673576643a5ae0f69880fb54567272dd0269a21b90870d8862b5ce0"],"state_sha256":"85a2e252c0ee8f5cf51a21709c306e37c58fab14815125a45d397b38e591e81a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l9UvUP8dWdJlOsj3aCrjdcqXmwBztJK7IVyjf4qq9lIiZnHHFDm0ii5s6nOECmkfxJZVp269BSOKHErantLJBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T07:56:26.660780Z","bundle_sha256":"a721baddc0db5d8635cc71cc87e82e3c5cd212c4aa24266b41091ee493fc7679"}}