{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XJLRHP2EZA55RYFSVIZWAGUYEX","short_pith_number":"pith:XJLRHP2E","canonical_record":{"source":{"id":"1609.05581","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-19T02:16:13Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"081ee1707a6765331c225a24f8c116e35f5271aae52bd71b9ff3547373135f1a","abstract_canon_sha256":"3e830fc8bf8f5ed3b9e1a1b1cfc1d192ba16c95e0a5eeaa7894320f308e9180d"},"schema_version":"1.0"},"canonical_sha256":"ba5713bf44c83bd8e0b2aa33601a9825ff117688855202b5eb23f098d0b6f6dd","source":{"kind":"arxiv","id":"1609.05581","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05581","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05581v3","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05581","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"pith_short_12","alias_value":"XJLRHP2EZA55","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XJLRHP2EZA55RYFS","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XJLRHP2E","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XJLRHP2EZA55RYFSVIZWAGUYEX","target":"record","payload":{"canonical_record":{"source":{"id":"1609.05581","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-19T02:16:13Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"081ee1707a6765331c225a24f8c116e35f5271aae52bd71b9ff3547373135f1a","abstract_canon_sha256":"3e830fc8bf8f5ed3b9e1a1b1cfc1d192ba16c95e0a5eeaa7894320f308e9180d"},"schema_version":"1.0"},"canonical_sha256":"ba5713bf44c83bd8e0b2aa33601a9825ff117688855202b5eb23f098d0b6f6dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:37.207050Z","signature_b64":"9Sn4sqtIGkKd0EDg1ShExUW2Moc+nmcjYg0woC4oNdsJVuSqfh2Pm9K2GBRQylzbwz1p7RAoh62yVDIWUzYABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba5713bf44c83bd8e0b2aa33601a9825ff117688855202b5eb23f098d0b6f6dd","last_reissued_at":"2026-05-18T00:51:37.206563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:37.206563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.05581","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":"2026-05-18T00:51:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YuvHebIrZyiYvwOuT6pL7v2YtagCFly0CffB7EabxJm5Jq714+JZqURXAQeKnAbxHxuObhHxC4g5MSJNLXD7Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:58:36.521599Z"},"content_sha256":"360a718cb6ae07d6b84711e0c9a9b0f531d7b97a7b882380363a606d15729eb2","schema_version":"1.0","event_id":"sha256:360a718cb6ae07d6b84711e0c9a9b0f531d7b97a7b882380363a606d15729eb2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XJLRHP2EZA55RYFSVIZWAGUYEX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solution of the two-axis countertwisting Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Feng Pan, Jerry P. Draayer, Yao-Zhong Zhang","submitted_at":"2016-09-19T02:16:13Z","abstract_excerpt":"It is shown that the two-axis countertwisting Hamiltonian is exactly solvable when the quantum number of the total angular momentum of the system is an integer after the Jordan-Schwinger (differential) boson realization of the SU(2) algebra. Algebraic Bethe ansatz is used to get the exact solution with the help of the SU(1,1) algebraic structure, from which a set of Bethe ansatz equations of the problem is derived. It is shown that solutions of the Bethe ansatz equations can be obtained as zeros of the Heine-Stieltjes polynomials. The total number of the four sets of the zeros equals exactly t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05581","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":""},"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":"2026-05-18T00:51:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"THaqYNoTeUl0trHERek6oOlTT2COvc4rmzThxGXFPxdZuB+4Vup/ej19D+nfjLqRX0eJp8ZmoUYDLaSbWiggBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:58:36.521947Z"},"content_sha256":"bbf36291845e38fc01a31dc89ef2dd577a1764c6b4b8352de9a36ea658d3bd3b","schema_version":"1.0","event_id":"sha256:bbf36291845e38fc01a31dc89ef2dd577a1764c6b4b8352de9a36ea658d3bd3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XJLRHP2EZA55RYFSVIZWAGUYEX/bundle.json","state_url":"https://pith.science/pith/XJLRHP2EZA55RYFSVIZWAGUYEX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XJLRHP2EZA55RYFSVIZWAGUYEX/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":"2026-06-03T00:58:36Z","links":{"resolver":"https://pith.science/pith/XJLRHP2EZA55RYFSVIZWAGUYEX","bundle":"https://pith.science/pith/XJLRHP2EZA55RYFSVIZWAGUYEX/bundle.json","state":"https://pith.science/pith/XJLRHP2EZA55RYFSVIZWAGUYEX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XJLRHP2EZA55RYFSVIZWAGUYEX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XJLRHP2EZA55RYFSVIZWAGUYEX","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":"3e830fc8bf8f5ed3b9e1a1b1cfc1d192ba16c95e0a5eeaa7894320f308e9180d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-19T02:16:13Z","title_canon_sha256":"081ee1707a6765331c225a24f8c116e35f5271aae52bd71b9ff3547373135f1a"},"schema_version":"1.0","source":{"id":"1609.05581","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05581","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05581v3","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05581","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"pith_short_12","alias_value":"XJLRHP2EZA55","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XJLRHP2EZA55RYFS","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XJLRHP2E","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:bbf36291845e38fc01a31dc89ef2dd577a1764c6b4b8352de9a36ea658d3bd3b","target":"graph","created_at":"2026-05-18T00:51:37Z","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":"It is shown that the two-axis countertwisting Hamiltonian is exactly solvable when the quantum number of the total angular momentum of the system is an integer after the Jordan-Schwinger (differential) boson realization of the SU(2) algebra. Algebraic Bethe ansatz is used to get the exact solution with the help of the SU(1,1) algebraic structure, from which a set of Bethe ansatz equations of the problem is derived. It is shown that solutions of the Bethe ansatz equations can be obtained as zeros of the Heine-Stieltjes polynomials. The total number of the four sets of the zeros equals exactly t","authors_text":"Feng Pan, Jerry P. Draayer, Yao-Zhong Zhang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-19T02:16:13Z","title":"Exact solution of the two-axis countertwisting Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05581","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":"sha256:360a718cb6ae07d6b84711e0c9a9b0f531d7b97a7b882380363a606d15729eb2","target":"record","created_at":"2026-05-18T00:51:37Z","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":"3e830fc8bf8f5ed3b9e1a1b1cfc1d192ba16c95e0a5eeaa7894320f308e9180d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-19T02:16:13Z","title_canon_sha256":"081ee1707a6765331c225a24f8c116e35f5271aae52bd71b9ff3547373135f1a"},"schema_version":"1.0","source":{"id":"1609.05581","kind":"arxiv","version":3}},"canonical_sha256":"ba5713bf44c83bd8e0b2aa33601a9825ff117688855202b5eb23f098d0b6f6dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba5713bf44c83bd8e0b2aa33601a9825ff117688855202b5eb23f098d0b6f6dd","first_computed_at":"2026-05-18T00:51:37.206563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:37.206563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9Sn4sqtIGkKd0EDg1ShExUW2Moc+nmcjYg0woC4oNdsJVuSqfh2Pm9K2GBRQylzbwz1p7RAoh62yVDIWUzYABA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:37.207050Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.05581","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:360a718cb6ae07d6b84711e0c9a9b0f531d7b97a7b882380363a606d15729eb2","sha256:bbf36291845e38fc01a31dc89ef2dd577a1764c6b4b8352de9a36ea658d3bd3b"],"state_sha256":"b549fe78b0d4d4c33ec5e3be88436374759f6c67c42ce3c221a610085168821a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8BIIXz6XSADnYQquHbM4ya/F7IycnrbLvqwzUXvvEM6ca4TxnxYK8jRNVrUUG6Oeq1hoIOv26s8tbIG4UmyPAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T00:58:36.523872Z","bundle_sha256":"c5d4ae6c706cdbb48f40e827fb50b2eb1858978a8f639ac8a59b36ba1f2416b9"}}