{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IWOSTEB3HKNHPPX52ECUJWOWUB","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":"5f19708eab4247e933688fb17656af148aedb569b63d2ba8ecfb69b9f892fb3b","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-02-21T18:05:34Z","title_canon_sha256":"27ed1b38b1664a02fccbe8b2b1b578933c4d7ff72023adb6af429ef786156957"},"schema_version":"1.0","source":{"id":"2502.15636","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.15636","created_at":"2026-07-05T11:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"2502.15636v3","created_at":"2026-07-05T11:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.15636","created_at":"2026-07-05T11:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"IWOSTEB3HKNH","created_at":"2026-07-05T11:59:10Z"},{"alias_kind":"pith_short_16","alias_value":"IWOSTEB3HKNHPPX5","created_at":"2026-07-05T11:59:10Z"},{"alias_kind":"pith_short_8","alias_value":"IWOSTEB3","created_at":"2026-07-05T11:59:10Z"}],"graph_snapshots":[{"event_id":"sha256:1c4494d619b503475e7f71a94e24e877d111533da3a1e2de6ce8ff1d043be1eb","target":"graph","created_at":"2026-07-05T11:59:10Z","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/2502.15636/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In integrable spin chains, the spectral problem can be solved by the method of Bethe ansatz, which transforms the problem of diagonalization of the Hamiltonian into the problem of solving a set of algebraic equations named Bethe equations. In this work, we systematically investigate the spin-$s$ XXX chain with twisted and open boundary conditions using the rational $Q$-system, which is a powerful tool to solve Bethe equations. We establish basic frameworks of the rational $Q$-system and confirm its completeness numerically in both cases. For twisted boundaries, we investigate the polynomiality","authors_text":"Jue Hou, Yi-Chao Liu, Yi-Jun He, Zi-Xi Tan","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-02-21T18:05:34Z","title":"Spin-$s$ $Q$-systems: Twist and Open Boundaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.15636","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":"sha256:7acee409f1d48439e47e9d7181634020d9006b6ccbe0ca844dcc103a5e6985a0","target":"record","created_at":"2026-07-05T11:59:10Z","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":"5f19708eab4247e933688fb17656af148aedb569b63d2ba8ecfb69b9f892fb3b","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-02-21T18:05:34Z","title_canon_sha256":"27ed1b38b1664a02fccbe8b2b1b578933c4d7ff72023adb6af429ef786156957"},"schema_version":"1.0","source":{"id":"2502.15636","kind":"arxiv","version":3}},"canonical_sha256":"459d29903b3a9a77befdd10544d9d6a05a36828cb70981c0234244fe806c5b87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"459d29903b3a9a77befdd10544d9d6a05a36828cb70981c0234244fe806c5b87","first_computed_at":"2026-07-05T11:59:10.962934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:10.962934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xu1kgcBii08CmJo5HHvWZfIh3ULgANfTlYX+wg26ITCaZf7KqSaevRqdyR0BD2RNJnfO1XzVJ7dCV1DCntSlAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:10.963331Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.15636","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7acee409f1d48439e47e9d7181634020d9006b6ccbe0ca844dcc103a5e6985a0","sha256:1c4494d619b503475e7f71a94e24e877d111533da3a1e2de6ce8ff1d043be1eb"],"state_sha256":"d26f08ee2ff569f1bd1538e9782555ea8ddfe94e00c83c1cafbebb0883fe16d7"}