{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FKFBKYFCCNZHXBNDFEAN4EN4EU","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":"67e7acb181f590e41cd0169c72caff66bf3c7f93ac630dc8fa7127bc13ce4eca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-18T02:14:20Z","title_canon_sha256":"3897bc730bef58c4ea832e2365d675bd6fef481205b42cd2d6620498535f84b5"},"schema_version":"1.0","source":{"id":"1210.5008","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5008","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5008v1","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5008","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"FKFBKYFCCNZH","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FKFBKYFCCNZHXBND","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FKFBKYFC","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:e0a63f036e1ac054f11e2c518008df3469b19e5dede658da22d66358ccb4a0e2","target":"graph","created_at":"2026-05-18T03:42:43Z","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":"We derive an exact closed-form representation for the Euclidean thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space. This can be interpreted as the real part of a complex analytic function of a variable that conformally maps the infinite strip $-\\infty<x<\\infty$ ($0<\\tau<\\beta$) of the $z=x+i\\tau$ ($\\tau$: imaginary time) plane into the upper-half-plane. Use of the Cauchy-Riemann conditions, then allows us to identify the dual thermal Green function as the imaginary part of that function.","authors_text":"Leonardo Mondaini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-18T02:14:20Z","title":"Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5008","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":"sha256:8e82f301337bd08a7c334045418422f8c48216fb7ad23a8aa1c21c02aafd3e17","target":"record","created_at":"2026-05-18T03:42:43Z","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":"67e7acb181f590e41cd0169c72caff66bf3c7f93ac630dc8fa7127bc13ce4eca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-18T02:14:20Z","title_canon_sha256":"3897bc730bef58c4ea832e2365d675bd6fef481205b42cd2d6620498535f84b5"},"schema_version":"1.0","source":{"id":"1210.5008","kind":"arxiv","version":1}},"canonical_sha256":"2a8a1560a213727b85a32900de11bc2500adb3f8cff6d2a1d36f72ff7130cff5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a8a1560a213727b85a32900de11bc2500adb3f8cff6d2a1d36f72ff7130cff5","first_computed_at":"2026-05-18T03:42:43.762121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:43.762121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j0Qo55fCVPtsKIN4KxgScThiV5ArLxAbE7RrrF+ZTi94LDQrqZGRgfzfAsJ24rFvhgNpiJHOYOXNgzOayMHNCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:43.762886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5008","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e82f301337bd08a7c334045418422f8c48216fb7ad23a8aa1c21c02aafd3e17","sha256:e0a63f036e1ac054f11e2c518008df3469b19e5dede658da22d66358ccb4a0e2"],"state_sha256":"2036331379ee13c6c3f483811dd7bb24f51807f1f166ededdc635e9499961548"}