{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZNALFL7S4GR4RZJXXR6EGEOOSQ","short_pith_number":"pith:ZNALFL7S","canonical_record":{"source":{"id":"2507.19200","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-25T12:10:38Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"4636a2a8dce93a5e1b0f9c5f77c10e857d047adb557df911b086d4e34d15ab82","abstract_canon_sha256":"4981513ee25998497e487e391ef62767b11378b6f2f8d9ee61f25eda942d84fa"},"schema_version":"1.0"},"canonical_sha256":"cb40b2aff2e1a3c8e537bc7c4311ce9420e5a9b35cb207c5e475d8c2c858b697","source":{"kind":"arxiv","id":"2507.19200","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.19200","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"arxiv_version","alias_value":"2507.19200v1","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19200","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZNALFL7S4GR4","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"pith_short_16","alias_value":"ZNALFL7S4GR4RZJX","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"pith_short_8","alias_value":"ZNALFL7S","created_at":"2026-07-05T11:43:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZNALFL7S4GR4RZJXXR6EGEOOSQ","target":"record","payload":{"canonical_record":{"source":{"id":"2507.19200","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-25T12:10:38Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"4636a2a8dce93a5e1b0f9c5f77c10e857d047adb557df911b086d4e34d15ab82","abstract_canon_sha256":"4981513ee25998497e487e391ef62767b11378b6f2f8d9ee61f25eda942d84fa"},"schema_version":"1.0"},"canonical_sha256":"cb40b2aff2e1a3c8e537bc7c4311ce9420e5a9b35cb207c5e475d8c2c858b697","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:43:21.318863Z","signature_b64":"JBcAqGC1NgbFXjvMmlppk6bI68eAPvbr1tImVOyeEPCm2kq5iniDNTGFHwD4A074K+Htjknm3xP9nxi6A0UdBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb40b2aff2e1a3c8e537bc7c4311ce9420e5a9b35cb207c5e475d8c2c858b697","last_reissued_at":"2026-07-05T11:43:21.318377Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:43:21.318377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.19200","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:43:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GR/0usXQa+WcYeZeIBhTx5dPpY5Cf1y07h+I/wvw8pICbOSTdvvCkz0HST2PPdbg/TkN7SETGigPtzc2SzPeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T16:23:12.334976Z"},"content_sha256":"40b8a35015a5e91a8064025362977d81ea3726a643ccd2c3cfe694fa762006f8","schema_version":"1.0","event_id":"sha256:40b8a35015a5e91a8064025362977d81ea3726a643ccd2c3cfe694fa762006f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZNALFL7S4GR4RZJXXR6EGEOOSQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics in the Sine-Gordon model: the NLIE approach","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Arpad Hegedus","submitted_at":"2025-07-25T12:10:38Z","abstract_excerpt":"In this paper we derive Kl\\\"umper-Batchelor-Pearce-Destri-de Vega type nonlinear integral equations for describing the thermodynamics in the sine-Gordon model, when a chemical potential coupled to the topological charge\n  is also present in the theory. The equations are valid at any value of the coupling constant and are particularly useful for computing the expectation values of local operators and some currents as functions of the temperature and the chemical potential. The equations are also extended to the case, when an extra term corresponding to the momentum conservation, is added to the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19200","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.19200/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:43:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cwofZyavVMvvVi25Hd+WlYeje3jmsykKe5P/zT2jiyexXyo5Pim812cb20pn/y+pb0DtoiJNqbwzzrVs1tFHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T16:23:12.335540Z"},"content_sha256":"dc833601df4f3ee0d560bb986be0b9120eddced899687df0fc026c5bc86c867f","schema_version":"1.0","event_id":"sha256:dc833601df4f3ee0d560bb986be0b9120eddced899687df0fc026c5bc86c867f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZNALFL7S4GR4RZJXXR6EGEOOSQ/bundle.json","state_url":"https://pith.science/pith/ZNALFL7S4GR4RZJXXR6EGEOOSQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZNALFL7S4GR4RZJXXR6EGEOOSQ/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":"2026-08-19T16:23:12Z","links":{"resolver":"https://pith.science/pith/ZNALFL7S4GR4RZJXXR6EGEOOSQ","bundle":"https://pith.science/pith/ZNALFL7S4GR4RZJXXR6EGEOOSQ/bundle.json","state":"https://pith.science/pith/ZNALFL7S4GR4RZJXXR6EGEOOSQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZNALFL7S4GR4RZJXXR6EGEOOSQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZNALFL7S4GR4RZJXXR6EGEOOSQ","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":"4981513ee25998497e487e391ef62767b11378b6f2f8d9ee61f25eda942d84fa","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-25T12:10:38Z","title_canon_sha256":"4636a2a8dce93a5e1b0f9c5f77c10e857d047adb557df911b086d4e34d15ab82"},"schema_version":"1.0","source":{"id":"2507.19200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.19200","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"arxiv_version","alias_value":"2507.19200v1","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19200","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZNALFL7S4GR4","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"pith_short_16","alias_value":"ZNALFL7S4GR4RZJX","created_at":"2026-07-05T11:43:21Z"},{"alias_kind":"pith_short_8","alias_value":"ZNALFL7S","created_at":"2026-07-05T11:43:21Z"}],"graph_snapshots":[{"event_id":"sha256:dc833601df4f3ee0d560bb986be0b9120eddced899687df0fc026c5bc86c867f","target":"graph","created_at":"2026-07-05T11:43:21Z","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/2507.19200/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we derive Kl\\\"umper-Batchelor-Pearce-Destri-de Vega type nonlinear integral equations for describing the thermodynamics in the sine-Gordon model, when a chemical potential coupled to the topological charge\n  is also present in the theory. The equations are valid at any value of the coupling constant and are particularly useful for computing the expectation values of local operators and some currents as functions of the temperature and the chemical potential. The equations are also extended to the case, when an extra term corresponding to the momentum conservation, is added to the","authors_text":"Arpad Hegedus","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-25T12:10:38Z","title":"Thermodynamics in the Sine-Gordon model: the NLIE approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19200","kind":"arxiv","version":1},"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":"sha256:40b8a35015a5e91a8064025362977d81ea3726a643ccd2c3cfe694fa762006f8","target":"record","created_at":"2026-07-05T11:43:21Z","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":"4981513ee25998497e487e391ef62767b11378b6f2f8d9ee61f25eda942d84fa","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-25T12:10:38Z","title_canon_sha256":"4636a2a8dce93a5e1b0f9c5f77c10e857d047adb557df911b086d4e34d15ab82"},"schema_version":"1.0","source":{"id":"2507.19200","kind":"arxiv","version":1}},"canonical_sha256":"cb40b2aff2e1a3c8e537bc7c4311ce9420e5a9b35cb207c5e475d8c2c858b697","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb40b2aff2e1a3c8e537bc7c4311ce9420e5a9b35cb207c5e475d8c2c858b697","first_computed_at":"2026-07-05T11:43:21.318377Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:43:21.318377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JBcAqGC1NgbFXjvMmlppk6bI68eAPvbr1tImVOyeEPCm2kq5iniDNTGFHwD4A074K+Htjknm3xP9nxi6A0UdBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:43:21.318863Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.19200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40b8a35015a5e91a8064025362977d81ea3726a643ccd2c3cfe694fa762006f8","sha256:dc833601df4f3ee0d560bb986be0b9120eddced899687df0fc026c5bc86c867f"],"state_sha256":"5528261fba0b83b83d194d28105c7681cdccc238961b619de15f8e46c5019776"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yaubK87+uv1gBgqSh9LUWMfooG0jf4oVdH8IT1ApMrYL4G4B4hkIAjJLMJNVyJk5ARaPhsTy69XaEupwWpioDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T16:23:12.340057Z","bundle_sha256":"93d9a2de9ba80a5d2bf769996b9c2d184baceb086995cac2c6affe11416b9d01"}}