{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:HNQF45UYAJI53V3PSBCZQPAKOD","short_pith_number":"pith:HNQF45UY","canonical_record":{"source":{"id":"hep-th/0410068","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-10-06T21:34:50Z","cross_cats_sorted":[],"title_canon_sha256":"a21b888ab2d2d24e18f0b0314f6418dcd7f9eea51d81a935fc9c7d4c97fbe6be","abstract_canon_sha256":"012b29303dfee507f9044b7190e4f3ad996fb7b8d8ba20e6b5595d4e9d606496"},"schema_version":"1.0"},"canonical_sha256":"3b605e76980251ddd76f9045983c0a70c2ea874675d6c2bffd75ac4f8a73952b","source":{"kind":"arxiv","id":"hep-th/0410068","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0410068","created_at":"2026-05-18T04:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0410068v2","created_at":"2026-05-18T04:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0410068","created_at":"2026-05-18T04:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"HNQF45UYAJI5","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"HNQF45UYAJI53V3P","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"HNQF45UY","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:HNQF45UYAJI53V3PSBCZQPAKOD","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0410068","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-10-06T21:34:50Z","cross_cats_sorted":[],"title_canon_sha256":"a21b888ab2d2d24e18f0b0314f6418dcd7f9eea51d81a935fc9c7d4c97fbe6be","abstract_canon_sha256":"012b29303dfee507f9044b7190e4f3ad996fb7b8d8ba20e6b5595d4e9d606496"},"schema_version":"1.0"},"canonical_sha256":"3b605e76980251ddd76f9045983c0a70c2ea874675d6c2bffd75ac4f8a73952b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:55.082500Z","signature_b64":"nyqeuDZ6eU4miP5QIzRKMDvvbmgRBDqYh6CWOvgv+iPyrhOgcliEHZb74o+36wPKBqt2WjQj0LJI+f6gkywcAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b605e76980251ddd76f9045983c0a70c2ea874675d6c2bffd75ac4f8a73952b","last_reissued_at":"2026-05-18T04:17:55.082088Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:55.082088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0410068","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0PWigj1TyrQBdq9ZBp3iUoQZRgqxIReLhR5DVFAYWMfJMFNHrd5sZ00fdSwfRhAXLrzdi6LgECiUJPJvxyMFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:16:45.858796Z"},"content_sha256":"ddeabf843b8872a4d8c217d7c3853bf27fab6a4a1b9fb398f1dbec58df347fb0","schema_version":"1.0","event_id":"sha256:ddeabf843b8872a4d8c217d7c3853bf27fab6a4a1b9fb398f1dbec58df347fb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:HNQF45UYAJI53V3PSBCZQPAKOD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Closed String Thermal Torus From Thermo Field Dynamics","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. L. Gadelha, Daniel L. Nedel, M. C. B Abdalla","submitted_at":"2004-10-06T21:34:50Z","abstract_excerpt":"In this Letter a topological interpretation for the string thermal vacuum in the Thermo Field Dynamics (TFD) approach is given. As a consequence, the relationship between the Imaginary Time and TFD formalisms is achieved when both are used to study closed strings at finite temperature. The TFD approach starts by duplicating the system's degrees of freedom, defining an auxiliary (tilde) string. In order to lead the system to finite temperature a Bogoliubov transformation is implemented. We show that the effect of this transformation is to glue together the string and the tilde string to obtain "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0410068","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PghzSMJ+sRKiN28+6L1Jf0BjUzYaP+xE0MetoLMXjpznlwIbMbyxgpoPsGu17H78hRvuE1t5Ahka4JDj9rkPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:16:45.859133Z"},"content_sha256":"4e49406ea5a80f501f7b2236699016c42c4774266e78fc731bf073057658c63a","schema_version":"1.0","event_id":"sha256:4e49406ea5a80f501f7b2236699016c42c4774266e78fc731bf073057658c63a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HNQF45UYAJI53V3PSBCZQPAKOD/bundle.json","state_url":"https://pith.science/pith/HNQF45UYAJI53V3PSBCZQPAKOD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HNQF45UYAJI53V3PSBCZQPAKOD/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":"2026-06-26T15:16:45Z","links":{"resolver":"https://pith.science/pith/HNQF45UYAJI53V3PSBCZQPAKOD","bundle":"https://pith.science/pith/HNQF45UYAJI53V3PSBCZQPAKOD/bundle.json","state":"https://pith.science/pith/HNQF45UYAJI53V3PSBCZQPAKOD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HNQF45UYAJI53V3PSBCZQPAKOD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:HNQF45UYAJI53V3PSBCZQPAKOD","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":"012b29303dfee507f9044b7190e4f3ad996fb7b8d8ba20e6b5595d4e9d606496","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-10-06T21:34:50Z","title_canon_sha256":"a21b888ab2d2d24e18f0b0314f6418dcd7f9eea51d81a935fc9c7d4c97fbe6be"},"schema_version":"1.0","source":{"id":"hep-th/0410068","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0410068","created_at":"2026-05-18T04:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0410068v2","created_at":"2026-05-18T04:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0410068","created_at":"2026-05-18T04:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"HNQF45UYAJI5","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"HNQF45UYAJI53V3P","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"HNQF45UY","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:4e49406ea5a80f501f7b2236699016c42c4774266e78fc731bf073057658c63a","target":"graph","created_at":"2026-05-18T04:17:55Z","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":"In this Letter a topological interpretation for the string thermal vacuum in the Thermo Field Dynamics (TFD) approach is given. As a consequence, the relationship between the Imaginary Time and TFD formalisms is achieved when both are used to study closed strings at finite temperature. The TFD approach starts by duplicating the system's degrees of freedom, defining an auxiliary (tilde) string. In order to lead the system to finite temperature a Bogoliubov transformation is implemented. We show that the effect of this transformation is to glue together the string and the tilde string to obtain ","authors_text":"A. L. Gadelha, Daniel L. Nedel, M. C. B Abdalla","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-10-06T21:34:50Z","title":"Closed String Thermal Torus From Thermo Field Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0410068","kind":"arxiv","version":2},"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:ddeabf843b8872a4d8c217d7c3853bf27fab6a4a1b9fb398f1dbec58df347fb0","target":"record","created_at":"2026-05-18T04:17:55Z","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":"012b29303dfee507f9044b7190e4f3ad996fb7b8d8ba20e6b5595d4e9d606496","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-10-06T21:34:50Z","title_canon_sha256":"a21b888ab2d2d24e18f0b0314f6418dcd7f9eea51d81a935fc9c7d4c97fbe6be"},"schema_version":"1.0","source":{"id":"hep-th/0410068","kind":"arxiv","version":2}},"canonical_sha256":"3b605e76980251ddd76f9045983c0a70c2ea874675d6c2bffd75ac4f8a73952b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b605e76980251ddd76f9045983c0a70c2ea874675d6c2bffd75ac4f8a73952b","first_computed_at":"2026-05-18T04:17:55.082088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:55.082088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nyqeuDZ6eU4miP5QIzRKMDvvbmgRBDqYh6CWOvgv+iPyrhOgcliEHZb74o+36wPKBqt2WjQj0LJI+f6gkywcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:55.082500Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0410068","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddeabf843b8872a4d8c217d7c3853bf27fab6a4a1b9fb398f1dbec58df347fb0","sha256:4e49406ea5a80f501f7b2236699016c42c4774266e78fc731bf073057658c63a"],"state_sha256":"287f26b01f01c693f68ccb0eeb3d12b61af3bce9770f0b6150699b9dc7886e7d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d0jrnRxuBUf25QjoxQTC5NYT0v2d7b6pyrKZ0TDhESQq7kaikgM1lr/hkIostUOGT2SXkoiu23cM6IUXpVHVBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T15:16:45.861079Z","bundle_sha256":"daea66fd72e7b9e5d25c5cb130c504f1ea1518bc612882aa94a31f6d8a60d1e5"}}