{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:JJ4GLJJD2S7P3VCINQOO6CWKTV","short_pith_number":"pith:JJ4GLJJD","schema_version":"1.0","canonical_sha256":"4a7865a523d4befdd4486c1cef0aca9d7706284e931af09ee81a5c4dad6fe2ee","source":{"kind":"arxiv","id":"1807.08885","version":1},"attestation_state":"computed","paper":{"title":"Exact regimes of collapsed and extra two-string solutions in the two down-spin sector of the spin-1/2 massive XXZ spin chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jun Sato, Takashi Imoto, Tetsuo Deguchi","submitted_at":"2018-07-24T02:49:58Z","abstract_excerpt":"We derive exactly the number of complex solutions with two down-spins in the massive regime of the periodic spin-1/2 XXZ spin chain of $N$ sites. Here we remark that every solution of the Bethe ansatz equations is characterized by a set of quantum numbers. We derive them analytically for all the complex solutions in the sector, which we call two-string solutions. We show that in a region of $N$ and $\\Delta$ the number of two-string solutions is by two larger than the number due to the string hypothesis, i.e., an extra pair of two-strings appears. We determine it exactly and also such regions w"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1807.08885","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-07-24T02:49:58Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"20090cd1efb41ffa4a0d4dc471d40ae2ff8c4ed4f234ab7b29deb558403e4756","abstract_canon_sha256":"bec0cafdd6a5b220799c58394df8932ad3d3fc9d452e94f1bec582e04fbb2293"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:37.423558Z","signature_b64":"GWnh2QYfvvCufh/dqQyctjN5hOONjObIVcuazdkxEdlMoOc2KndmGuSteZUxo4I2+niHseulO1o5jWkbxIX+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a7865a523d4befdd4486c1cef0aca9d7706284e931af09ee81a5c4dad6fe2ee","last_reissued_at":"2026-05-17T23:45:37.422846Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:37.422846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact regimes of collapsed and extra two-string solutions in the two down-spin sector of the spin-1/2 massive XXZ spin chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jun Sato, Takashi Imoto, Tetsuo Deguchi","submitted_at":"2018-07-24T02:49:58Z","abstract_excerpt":"We derive exactly the number of complex solutions with two down-spins in the massive regime of the periodic spin-1/2 XXZ spin chain of $N$ sites. Here we remark that every solution of the Bethe ansatz equations is characterized by a set of quantum numbers. We derive them analytically for all the complex solutions in the sector, which we call two-string solutions. We show that in a region of $N$ and $\\Delta$ the number of two-string solutions is by two larger than the number due to the string hypothesis, i.e., an extra pair of two-strings appears. We determine it exactly and also such regions w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.08885","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1807.08885","created_at":"2026-05-17T23:45:37.423004+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.08885v1","created_at":"2026-05-17T23:45:37.423004+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.08885","created_at":"2026-05-17T23:45:37.423004+00:00"},{"alias_kind":"pith_short_12","alias_value":"JJ4GLJJD2S7P","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"JJ4GLJJD2S7P3VCI","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"JJ4GLJJD","created_at":"2026-05-18T12:32:31.084164+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JJ4GLJJD2S7P3VCINQOO6CWKTV","json":"https://pith.science/pith/JJ4GLJJD2S7P3VCINQOO6CWKTV.json","graph_json":"https://pith.science/api/pith-number/JJ4GLJJD2S7P3VCINQOO6CWKTV/graph.json","events_json":"https://pith.science/api/pith-number/JJ4GLJJD2S7P3VCINQOO6CWKTV/events.json","paper":"https://pith.science/paper/JJ4GLJJD"},"agent_actions":{"view_html":"https://pith.science/pith/JJ4GLJJD2S7P3VCINQOO6CWKTV","download_json":"https://pith.science/pith/JJ4GLJJD2S7P3VCINQOO6CWKTV.json","view_paper":"https://pith.science/paper/JJ4GLJJD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.08885&json=true","fetch_graph":"https://pith.science/api/pith-number/JJ4GLJJD2S7P3VCINQOO6CWKTV/graph.json","fetch_events":"https://pith.science/api/pith-number/JJ4GLJJD2S7P3VCINQOO6CWKTV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JJ4GLJJD2S7P3VCINQOO6CWKTV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JJ4GLJJD2S7P3VCINQOO6CWKTV/action/storage_attestation","attest_author":"https://pith.science/pith/JJ4GLJJD2S7P3VCINQOO6CWKTV/action/author_attestation","sign_citation":"https://pith.science/pith/JJ4GLJJD2S7P3VCINQOO6CWKTV/action/citation_signature","submit_replication":"https://pith.science/pith/JJ4GLJJD2S7P3VCINQOO6CWKTV/action/replication_record"}},"created_at":"2026-05-17T23:45:37.423004+00:00","updated_at":"2026-05-17T23:45:37.423004+00:00"}