{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:OSOO26AYALDLDEVSVDU4WX7OOV","short_pith_number":"pith:OSOO26AY","canonical_record":{"source":{"id":"hep-th/0004078","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-04-11T22:43:38Z","cross_cats_sorted":[],"title_canon_sha256":"14772bdcc66fae7e7adc7f313c123f713396f5c668276bfa8c89f0450b6f7385","abstract_canon_sha256":"ca8c9ccaf3d3d86c6d92683f551ccc2ed5e110fb855190ddbeafa6092d83c290"},"schema_version":"1.0"},"canonical_sha256":"749ced781802c6b192b2a8e9cb5fee755cf0c745cfc909c817c01ae551719ff3","source":{"kind":"arxiv","id":"hep-th/0004078","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0004078","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0004078v2","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0004078","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"OSOO26AYALDL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"OSOO26AYALDLDEVS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"OSOO26AY","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:OSOO26AYALDLDEVSVDU4WX7OOV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0004078","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-04-11T22:43:38Z","cross_cats_sorted":[],"title_canon_sha256":"14772bdcc66fae7e7adc7f313c123f713396f5c668276bfa8c89f0450b6f7385","abstract_canon_sha256":"ca8c9ccaf3d3d86c6d92683f551ccc2ed5e110fb855190ddbeafa6092d83c290"},"schema_version":"1.0"},"canonical_sha256":"749ced781802c6b192b2a8e9cb5fee755cf0c745cfc909c817c01ae551719ff3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:13.092135Z","signature_b64":"r6+umZ9PoTwQo6uFImiUxsDzLHTe9JM3aUUZkQY8Vx/ahh8jhO36YLd1x3etP+4sjebcKyxEhNovLkwE3qs/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"749ced781802c6b192b2a8e9cb5fee755cf0c745cfc909c817c01ae551719ff3","last_reissued_at":"2026-05-18T02:36:13.091633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:13.091633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0004078","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":"2026-05-18T02:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iQErt4ZDU9ZAznM99zWLvbrWA+akrlD2iJhzHZZve215eA6rVLwEQFWk3bbtGYn9hvV0Qc882lQx3LTCOOP+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:30:25.799468Z"},"content_sha256":"bb364df51b8bde14c353c79b0dd1d999ae9f50b55b79bd5a7b5e8e7c1e65201b","schema_version":"1.0","event_id":"sha256:bb364df51b8bde14c353c79b0dd1d999ae9f50b55b79bd5a7b5e8e7c1e65201b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:OSOO26AYALDLDEVSVDU4WX7OOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Toroidal Compactification in String Theory from Chern-Simons Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bayram Tekin, Ian I. Kogan, P. Castelo Ferreira","submitted_at":"2000-04-11T22:43:38Z","abstract_excerpt":"A detailed study of the charge spectrum of three dimensional Abelian Topological Massive Gauge Theory (TMGT) is given. When this theory is defined on a manifold with two disconnected boundaries there are induced chiral Conformal Field Theories (CFT's) on the boundaries which can be interpreted as the left and right sectors of closed strings. We show that Narain constraints on toroidal compactification (integer, even, self-dual momentum lattice) have a natural interpretation in purely three dimensional terms. This is an important result which is necessary to construct toroidal compactification "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0004078","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":"2026-05-18T02:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NScV7tvYwWuYrL44xbwhPsDN8xGG5SVTax0tIzoW/yFQSFqsg/59+Ej6GORhr/EcZsYWPQAxqmlHJTkQiVhFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:30:25.800134Z"},"content_sha256":"bc630aa0803a5d1701af1cf88c765c6ad6e7f87b56e70c75b3ce43f9aaf5db22","schema_version":"1.0","event_id":"sha256:bc630aa0803a5d1701af1cf88c765c6ad6e7f87b56e70c75b3ce43f9aaf5db22"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OSOO26AYALDLDEVSVDU4WX7OOV/bundle.json","state_url":"https://pith.science/pith/OSOO26AYALDLDEVSVDU4WX7OOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OSOO26AYALDLDEVSVDU4WX7OOV/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":"2026-06-06T22:30:25Z","links":{"resolver":"https://pith.science/pith/OSOO26AYALDLDEVSVDU4WX7OOV","bundle":"https://pith.science/pith/OSOO26AYALDLDEVSVDU4WX7OOV/bundle.json","state":"https://pith.science/pith/OSOO26AYALDLDEVSVDU4WX7OOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OSOO26AYALDLDEVSVDU4WX7OOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:OSOO26AYALDLDEVSVDU4WX7OOV","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":"ca8c9ccaf3d3d86c6d92683f551ccc2ed5e110fb855190ddbeafa6092d83c290","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-04-11T22:43:38Z","title_canon_sha256":"14772bdcc66fae7e7adc7f313c123f713396f5c668276bfa8c89f0450b6f7385"},"schema_version":"1.0","source":{"id":"hep-th/0004078","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0004078","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0004078v2","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0004078","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"OSOO26AYALDL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"OSOO26AYALDLDEVS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"OSOO26AY","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:bc630aa0803a5d1701af1cf88c765c6ad6e7f87b56e70c75b3ce43f9aaf5db22","target":"graph","created_at":"2026-05-18T02:36:13Z","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":"A detailed study of the charge spectrum of three dimensional Abelian Topological Massive Gauge Theory (TMGT) is given. When this theory is defined on a manifold with two disconnected boundaries there are induced chiral Conformal Field Theories (CFT's) on the boundaries which can be interpreted as the left and right sectors of closed strings. We show that Narain constraints on toroidal compactification (integer, even, self-dual momentum lattice) have a natural interpretation in purely three dimensional terms. This is an important result which is necessary to construct toroidal compactification ","authors_text":"Bayram Tekin, Ian I. Kogan, P. Castelo Ferreira","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-04-11T22:43:38Z","title":"Toroidal Compactification in String Theory from Chern-Simons Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0004078","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:bb364df51b8bde14c353c79b0dd1d999ae9f50b55b79bd5a7b5e8e7c1e65201b","target":"record","created_at":"2026-05-18T02:36:13Z","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":"ca8c9ccaf3d3d86c6d92683f551ccc2ed5e110fb855190ddbeafa6092d83c290","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-04-11T22:43:38Z","title_canon_sha256":"14772bdcc66fae7e7adc7f313c123f713396f5c668276bfa8c89f0450b6f7385"},"schema_version":"1.0","source":{"id":"hep-th/0004078","kind":"arxiv","version":2}},"canonical_sha256":"749ced781802c6b192b2a8e9cb5fee755cf0c745cfc909c817c01ae551719ff3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"749ced781802c6b192b2a8e9cb5fee755cf0c745cfc909c817c01ae551719ff3","first_computed_at":"2026-05-18T02:36:13.091633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:13.091633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r6+umZ9PoTwQo6uFImiUxsDzLHTe9JM3aUUZkQY8Vx/ahh8jhO36YLd1x3etP+4sjebcKyxEhNovLkwE3qs/Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:13.092135Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0004078","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb364df51b8bde14c353c79b0dd1d999ae9f50b55b79bd5a7b5e8e7c1e65201b","sha256:bc630aa0803a5d1701af1cf88c765c6ad6e7f87b56e70c75b3ce43f9aaf5db22"],"state_sha256":"ffe0f5d799ed650b888824d3b6a6f6518d60cf583bc180693e1ba5694bfa0a1d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VP9dRIpJHR3pELwRtRbmMPsjDB/4zpX/XFng1t2oZg0IXb5kXCFXu3MBu1prvyX+Yylu0mJU3w5cWMdNYuAFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T22:30:25.804161Z","bundle_sha256":"b2126f68509de88dd92ae1986e340ea9b29a604abf55c53926bd313a5d3377c7"}}