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B{\\bf 406}, 83 (1997)] we calculate the specific heat of the corresponding two dimensional Euclidean (classical) models.\n We show that the temperature dependence of the specific heat of the sine-Gordon model, in the commensurate phase, has a maximum well below the Kosterlitz-Thouless transition and that the sinh-Gordon model"},"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":"cond-mat/9904133","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1999-04-09T16:01:56Z","cross_cats_sorted":[],"title_canon_sha256":"ee968fb556fa2a5216e22c5585c9d2e13da113a3403ca5a18e9abf39698b517f","abstract_canon_sha256":"c36b599ddd3d558786f867ed7b2fc9e525a5ea12148d8a8675b0bb734ba1a6f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:04.762135Z","signature_b64":"EnsWk1LqtsPB5WPGTnOauhbuypRj3nW6n6jpzP7neYkD/B8a6Q7W2dCX3uJBFRnb7Jn805brrUi8/CJP5UUBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ccac6d25b4c529d9f5247845df150629eaa8aa7b243318560da29925d3a4b2a","last_reissued_at":"2026-05-18T01:07:04.761667Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:04.761667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact Results for Thermodynamics of the Classical Field Theories: Sine- and Sinh-Gordon Models","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Alexei M. 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B{\\bf 406}, 83 (1997)] we calculate the specific heat of the corresponding two dimensional Euclidean (classical) models.\n We show that the temperature dependence of the specific heat of the sine-Gordon model, in the commensurate phase, has a maximum well below the Kosterlitz-Thouless transition and that the sinh-Gordon model"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9904133","kind":"arxiv","version":2},"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":"cond-mat/9904133","created_at":"2026-05-18T01:07:04.761734+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9904133v2","created_at":"2026-05-18T01:07:04.761734+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9904133","created_at":"2026-05-18T01:07:04.761734+00:00"},{"alias_kind":"pith_short_12","alias_value":"BTFMNUS3JRJJ","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"BTFMNUS3JRJJ3H2S","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"BTFMNUS3","created_at":"2026-05-18T12:25:49.038998+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/BTFMNUS3JRJJ3H2SI6CF34KQMK","json":"https://pith.science/pith/BTFMNUS3JRJJ3H2SI6CF34KQMK.json","graph_json":"https://pith.science/api/pith-number/BTFMNUS3JRJJ3H2SI6CF34KQMK/graph.json","events_json":"https://pith.science/api/pith-number/BTFMNUS3JRJJ3H2SI6CF34KQMK/events.json","paper":"https://pith.science/paper/BTFMNUS3"},"agent_actions":{"view_html":"https://pith.science/pith/BTFMNUS3JRJJ3H2SI6CF34KQMK","download_json":"https://pith.science/pith/BTFMNUS3JRJJ3H2SI6CF34KQMK.json","view_paper":"https://pith.science/paper/BTFMNUS3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9904133&json=true","fetch_graph":"https://pith.science/api/pith-number/BTFMNUS3JRJJ3H2SI6CF34KQMK/graph.json","fetch_events":"https://pith.science/api/pith-number/BTFMNUS3JRJJ3H2SI6CF34KQMK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BTFMNUS3JRJJ3H2SI6CF34KQMK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BTFMNUS3JRJJ3H2SI6CF34KQMK/action/storage_attestation","attest_author":"https://pith.science/pith/BTFMNUS3JRJJ3H2SI6CF34KQMK/action/author_attestation","sign_citation":"https://pith.science/pith/BTFMNUS3JRJJ3H2SI6CF34KQMK/action/citation_signature","submit_replication":"https://pith.science/pith/BTFMNUS3JRJJ3H2SI6CF34KQMK/action/replication_record"}},"created_at":"2026-05-18T01:07:04.761734+00:00","updated_at":"2026-05-18T01:07:04.761734+00:00"}