{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3VHT32BL7UU4MCNKXPPE3NRVNZ","short_pith_number":"pith:3VHT32BL","canonical_record":{"source":{"id":"1812.10774","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-27T17:16:03Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"a8fbdd56b4ab59b33a99fa07cb46a11f413858b83c4216cdd0be95f6a8d609e8","abstract_canon_sha256":"99f056a498849121bc2f1a875b4ddbb9dd06568ddf55da84ce3a0830d6d15b12"},"schema_version":"1.0"},"canonical_sha256":"dd4f3de82bfd29c609aabbde4db6356e5f4b599b6b005ce35e8e59e4c447e69c","source":{"kind":"arxiv","id":"1812.10774","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.10774","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"arxiv_version","alias_value":"1812.10774v2","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10774","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"pith_short_12","alias_value":"3VHT32BL7UU4","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3VHT32BL7UU4MCNK","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3VHT32BL","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3VHT32BL7UU4MCNKXPPE3NRVNZ","target":"record","payload":{"canonical_record":{"source":{"id":"1812.10774","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-27T17:16:03Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"a8fbdd56b4ab59b33a99fa07cb46a11f413858b83c4216cdd0be95f6a8d609e8","abstract_canon_sha256":"99f056a498849121bc2f1a875b4ddbb9dd06568ddf55da84ce3a0830d6d15b12"},"schema_version":"1.0"},"canonical_sha256":"dd4f3de82bfd29c609aabbde4db6356e5f4b599b6b005ce35e8e59e4c447e69c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:26.822193Z","signature_b64":"rVHcCmiwlMTJ89je+iAsxs4LYhhtMgNG+BfNJEvSuG+szUhPB13HG1KA+0Dy+qNS+iHBOkiwDTlkUvmbXVDvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd4f3de82bfd29c609aabbde4db6356e5f4b599b6b005ce35e8e59e4c447e69c","last_reissued_at":"2026-05-17T23:47:26.821631Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:26.821631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.10774","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":"2026-05-17T23:47:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hgSAOpGotvwdfVxRwo0rqrA/ZR7E/fuTq7vFmbBDUOc6ABcKFOLBqvAVASJqrSPUssJppa78MteAhC4ruhFJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:53:15.557753Z"},"content_sha256":"ace8b8bb0766d4d88c6c955a61d73bc015ccd3c4223acd648eeb70b3edafd73c","schema_version":"1.0","event_id":"sha256:ace8b8bb0766d4d88c6c955a61d73bc015ccd3c4223acd648eeb70b3edafd73c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3VHT32BL7UU4MCNKXPPE3NRVNZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Casimir effect in string theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Alexandros Kehagias, Herve Partouche","submitted_at":"2018-12-27T17:16:03Z","abstract_excerpt":"We discuss the Casimir effect in heterotic string theory. This is done by considering a Z_2 twist acting on one external compact direction and three internal coordinates. The hyperplanes fixed by the orbifold generator G realize the two infinite parallel plates. For the latter to behave as \"conducting material\", we implement in a modular invariant way the projection (1-G)/2 on the spectrum running in the vacuum-to-vacuum amplitude at one-loop. Hence, the relevant projector to account for the Casimir effect is orthogonal to that commonly used in string orbifold models, which is (1+G)/2. We find"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10774","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":"2026-05-17T23:47:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aFlUDXfm5neVs8HeJ5TaCaQnvnyKR7DiQF3PGUFUmO8ydSLQo+Z6grbn1G7QOnaUYyFHS9cuyegsMcM38Ae1Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:53:15.558341Z"},"content_sha256":"031b7e31230df57f32d5455b9f39a07d1d7ea9634331470c9e05cef93af2a314","schema_version":"1.0","event_id":"sha256:031b7e31230df57f32d5455b9f39a07d1d7ea9634331470c9e05cef93af2a314"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3VHT32BL7UU4MCNKXPPE3NRVNZ/bundle.json","state_url":"https://pith.science/pith/3VHT32BL7UU4MCNKXPPE3NRVNZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3VHT32BL7UU4MCNKXPPE3NRVNZ/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":"2026-05-27T01:53:15Z","links":{"resolver":"https://pith.science/pith/3VHT32BL7UU4MCNKXPPE3NRVNZ","bundle":"https://pith.science/pith/3VHT32BL7UU4MCNKXPPE3NRVNZ/bundle.json","state":"https://pith.science/pith/3VHT32BL7UU4MCNKXPPE3NRVNZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3VHT32BL7UU4MCNKXPPE3NRVNZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3VHT32BL7UU4MCNKXPPE3NRVNZ","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":"99f056a498849121bc2f1a875b4ddbb9dd06568ddf55da84ce3a0830d6d15b12","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-27T17:16:03Z","title_canon_sha256":"a8fbdd56b4ab59b33a99fa07cb46a11f413858b83c4216cdd0be95f6a8d609e8"},"schema_version":"1.0","source":{"id":"1812.10774","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.10774","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"arxiv_version","alias_value":"1812.10774v2","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10774","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"pith_short_12","alias_value":"3VHT32BL7UU4","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3VHT32BL7UU4MCNK","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3VHT32BL","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:031b7e31230df57f32d5455b9f39a07d1d7ea9634331470c9e05cef93af2a314","target":"graph","created_at":"2026-05-17T23:47:26Z","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 discuss the Casimir effect in heterotic string theory. This is done by considering a Z_2 twist acting on one external compact direction and three internal coordinates. The hyperplanes fixed by the orbifold generator G realize the two infinite parallel plates. For the latter to behave as \"conducting material\", we implement in a modular invariant way the projection (1-G)/2 on the spectrum running in the vacuum-to-vacuum amplitude at one-loop. Hence, the relevant projector to account for the Casimir effect is orthogonal to that commonly used in string orbifold models, which is (1+G)/2. We find","authors_text":"Alexandros Kehagias, Herve Partouche","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-27T17:16:03Z","title":"The Casimir effect in string theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10774","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:ace8b8bb0766d4d88c6c955a61d73bc015ccd3c4223acd648eeb70b3edafd73c","target":"record","created_at":"2026-05-17T23:47:26Z","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":"99f056a498849121bc2f1a875b4ddbb9dd06568ddf55da84ce3a0830d6d15b12","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-27T17:16:03Z","title_canon_sha256":"a8fbdd56b4ab59b33a99fa07cb46a11f413858b83c4216cdd0be95f6a8d609e8"},"schema_version":"1.0","source":{"id":"1812.10774","kind":"arxiv","version":2}},"canonical_sha256":"dd4f3de82bfd29c609aabbde4db6356e5f4b599b6b005ce35e8e59e4c447e69c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd4f3de82bfd29c609aabbde4db6356e5f4b599b6b005ce35e8e59e4c447e69c","first_computed_at":"2026-05-17T23:47:26.821631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:26.821631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rVHcCmiwlMTJ89je+iAsxs4LYhhtMgNG+BfNJEvSuG+szUhPB13HG1KA+0Dy+qNS+iHBOkiwDTlkUvmbXVDvCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:26.822193Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.10774","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ace8b8bb0766d4d88c6c955a61d73bc015ccd3c4223acd648eeb70b3edafd73c","sha256:031b7e31230df57f32d5455b9f39a07d1d7ea9634331470c9e05cef93af2a314"],"state_sha256":"2d98273283bfdf159e2214d78d38b5ca0ac3ddcb581f17b519204c49a04a8154"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UmnVVUh+jRU0fSfKwre0pPoRe6+MIAfVassRY/dgltoEu+vCbIHEt4/kiiOB7heEiwugeN67unifbBqm3KbGDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:53:15.561484Z","bundle_sha256":"d3204160eb8476e07ab3f7c98b7ce08dbb02e67986ee61f0e8bd001b1bc41790"}}