{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:CX6NDA6TW24NC4OUUXW7VEHAEF","short_pith_number":"pith:CX6NDA6T","schema_version":"1.0","canonical_sha256":"15fcd183d3b6b8d171d4a5edfa90e0215b55b389ace3a2fc92972b6feea39f07","source":{"kind":"arxiv","id":"hep-th/0008085","version":1},"attestation_state":"computed","paper":{"title":"Some exact results for the three-layer Zamolodchikov model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Herman Boos, Vladimir Mangazeev","submitted_at":"2000-08-10T13:25:21Z","abstract_excerpt":"In this paper we continue the study of the three-layer Zamolodchikov model started in our previous works. We analyse numerically the solutions to the Bethe ansatz equations. We consider two regimes I and II which differ by the signs of the spherical sides (a1,a2,a3)->(-a1,-a2,-a3). We accept the two-line hypothesis for the regime I and the one-line hypothesis for the regime II. In the thermodynamic limit we derive integral equations for distribution densities and solve them exactly. We calculate the partition function for the three-layer Zamolodchikov model and check a compatibility of this re"},"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":"hep-th/0008085","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-08-10T13:25:21Z","cross_cats_sorted":[],"title_canon_sha256":"3f240e766a48a43bd2287dfc3038cf0386cebefeac3bbd7ccc98c84ada21f4e8","abstract_canon_sha256":"1d5f48edf4d2c563c4530e248592c707c10b696c3c65deb3da7948cb34b25486"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:00.246168Z","signature_b64":"vMzQUZECscOwUzpGcQB9ERAVycVWoSKnsnmG65olIq+umiPZqE01NFON0eiQOshl9QPqe5tJx7ZovYdJA/W6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15fcd183d3b6b8d171d4a5edfa90e0215b55b389ace3a2fc92972b6feea39f07","last_reissued_at":"2026-05-18T01:06:00.245755Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:00.245755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some exact results for the three-layer Zamolodchikov model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Herman Boos, Vladimir Mangazeev","submitted_at":"2000-08-10T13:25:21Z","abstract_excerpt":"In this paper we continue the study of the three-layer Zamolodchikov model started in our previous works. We analyse numerically the solutions to the Bethe ansatz equations. We consider two regimes I and II which differ by the signs of the spherical sides (a1,a2,a3)->(-a1,-a2,-a3). We accept the two-line hypothesis for the regime I and the one-line hypothesis for the regime II. In the thermodynamic limit we derive integral equations for distribution densities and solve them exactly. We calculate the partition function for the three-layer Zamolodchikov model and check a compatibility of this re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0008085","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":"hep-th/0008085","created_at":"2026-05-18T01:06:00.245822+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0008085v1","created_at":"2026-05-18T01:06:00.245822+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0008085","created_at":"2026-05-18T01:06:00.245822+00:00"},{"alias_kind":"pith_short_12","alias_value":"CX6NDA6TW24N","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"CX6NDA6TW24NC4OU","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"CX6NDA6T","created_at":"2026-05-18T12:25:49.631198+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/CX6NDA6TW24NC4OUUXW7VEHAEF","json":"https://pith.science/pith/CX6NDA6TW24NC4OUUXW7VEHAEF.json","graph_json":"https://pith.science/api/pith-number/CX6NDA6TW24NC4OUUXW7VEHAEF/graph.json","events_json":"https://pith.science/api/pith-number/CX6NDA6TW24NC4OUUXW7VEHAEF/events.json","paper":"https://pith.science/paper/CX6NDA6T"},"agent_actions":{"view_html":"https://pith.science/pith/CX6NDA6TW24NC4OUUXW7VEHAEF","download_json":"https://pith.science/pith/CX6NDA6TW24NC4OUUXW7VEHAEF.json","view_paper":"https://pith.science/paper/CX6NDA6T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0008085&json=true","fetch_graph":"https://pith.science/api/pith-number/CX6NDA6TW24NC4OUUXW7VEHAEF/graph.json","fetch_events":"https://pith.science/api/pith-number/CX6NDA6TW24NC4OUUXW7VEHAEF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CX6NDA6TW24NC4OUUXW7VEHAEF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CX6NDA6TW24NC4OUUXW7VEHAEF/action/storage_attestation","attest_author":"https://pith.science/pith/CX6NDA6TW24NC4OUUXW7VEHAEF/action/author_attestation","sign_citation":"https://pith.science/pith/CX6NDA6TW24NC4OUUXW7VEHAEF/action/citation_signature","submit_replication":"https://pith.science/pith/CX6NDA6TW24NC4OUUXW7VEHAEF/action/replication_record"}},"created_at":"2026-05-18T01:06:00.245822+00:00","updated_at":"2026-05-18T01:06:00.245822+00:00"}