{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:GWMJB35WOEQUGM5AEYZLXX35OA","short_pith_number":"pith:GWMJB35W","canonical_record":{"source":{"id":"2108.04386","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-08-09T23:58:35Z","cross_cats_sorted":[],"title_canon_sha256":"39547036baeb8d5f01f2b59e06821ee8ce7b00831208cfd092cb3ddb0f2cc425","abstract_canon_sha256":"d61904076a15f95abce4fde6b5b2fd366db40d98447e298dde4ee26ece928d08"},"schema_version":"1.0"},"canonical_sha256":"359890efb671214333a02632bbdf7d70212178d5375253b0db5d5d49ff608465","source":{"kind":"arxiv","id":"2108.04386","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.04386","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"arxiv_version","alias_value":"2108.04386v1","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.04386","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"pith_short_12","alias_value":"GWMJB35WOEQU","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"pith_short_16","alias_value":"GWMJB35WOEQUGM5A","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"pith_short_8","alias_value":"GWMJB35W","created_at":"2026-07-05T04:13:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:GWMJB35WOEQUGM5AEYZLXX35OA","target":"record","payload":{"canonical_record":{"source":{"id":"2108.04386","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-08-09T23:58:35Z","cross_cats_sorted":[],"title_canon_sha256":"39547036baeb8d5f01f2b59e06821ee8ce7b00831208cfd092cb3ddb0f2cc425","abstract_canon_sha256":"d61904076a15f95abce4fde6b5b2fd366db40d98447e298dde4ee26ece928d08"},"schema_version":"1.0"},"canonical_sha256":"359890efb671214333a02632bbdf7d70212178d5375253b0db5d5d49ff608465","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:13:40.290110Z","signature_b64":"FS59ulLJPro1jPm7FQjfFVM4/Z2pD8bkjzxz4WZCn1rVYkOFvZW34AB6q/68B4rHKu748S/ksoP7TSvFAGPtCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"359890efb671214333a02632bbdf7d70212178d5375253b0db5d5d49ff608465","last_reissued_at":"2026-07-05T04:13:40.289653Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:13:40.289653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2108.04386","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":"2026-07-05T04:13:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EDnyyI3Md6TKMx6tUK1T1HCO+NVOKFW+QjpanEmpb3fo3amLwXWlUms5hYAy4m5GgNehSJEpZvOhLZ/wq3zDDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:22:01.977395Z"},"content_sha256":"d5460f010191efd894073ac66bd5cecbdaec407835c389df65f67d3b48635d19","schema_version":"1.0","event_id":"sha256:d5460f010191efd894073ac66bd5cecbdaec407835c389df65f67d3b48635d19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:GWMJB35WOEQUGM5AEYZLXX35OA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conway Subgroup Symmetric Compactifications Redux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jeffrey A. Harvey, Zihni Kaan Baykara","submitted_at":"2021-08-09T23:58:35Z","abstract_excerpt":"We extend the investigation of special toroidal compactifications of heterotic string theory for which the half-BPS states provide representations of subgroups of the Conway group. We also explore dual descriptions of these theories and find that they are all linked to either F-theory or type IIA string theory on K3 surfaces with symplectic automorphism groups that are the same Conway subgroups as those of the heterotic dual. The matching with type IIA K3 dual theories includes both the matching of symmetry groups and a comparison between the Narain lattice on the heterotic side and the cohomo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.04386","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/2108.04386/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":"2026-07-05T04:13:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fR3XXUrRhaDw4WGLkE6+2ECz0UYQWJUqWtoAsTA4ALM3VvfAezIm5FsNaH5iYgZF4vlROC2Vf78PvsA4jd89Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:22:01.977939Z"},"content_sha256":"bf914aa98daddca3ad7b3232dd79d7d4f4039a4c20ef1d76e353c5f48b1b2523","schema_version":"1.0","event_id":"sha256:bf914aa98daddca3ad7b3232dd79d7d4f4039a4c20ef1d76e353c5f48b1b2523"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GWMJB35WOEQUGM5AEYZLXX35OA/bundle.json","state_url":"https://pith.science/pith/GWMJB35WOEQUGM5AEYZLXX35OA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GWMJB35WOEQUGM5AEYZLXX35OA/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":"2026-08-03T17:22:01Z","links":{"resolver":"https://pith.science/pith/GWMJB35WOEQUGM5AEYZLXX35OA","bundle":"https://pith.science/pith/GWMJB35WOEQUGM5AEYZLXX35OA/bundle.json","state":"https://pith.science/pith/GWMJB35WOEQUGM5AEYZLXX35OA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GWMJB35WOEQUGM5AEYZLXX35OA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:GWMJB35WOEQUGM5AEYZLXX35OA","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":"d61904076a15f95abce4fde6b5b2fd366db40d98447e298dde4ee26ece928d08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-08-09T23:58:35Z","title_canon_sha256":"39547036baeb8d5f01f2b59e06821ee8ce7b00831208cfd092cb3ddb0f2cc425"},"schema_version":"1.0","source":{"id":"2108.04386","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.04386","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"arxiv_version","alias_value":"2108.04386v1","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.04386","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"pith_short_12","alias_value":"GWMJB35WOEQU","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"pith_short_16","alias_value":"GWMJB35WOEQUGM5A","created_at":"2026-07-05T04:13:40Z"},{"alias_kind":"pith_short_8","alias_value":"GWMJB35W","created_at":"2026-07-05T04:13:40Z"}],"graph_snapshots":[{"event_id":"sha256:bf914aa98daddca3ad7b3232dd79d7d4f4039a4c20ef1d76e353c5f48b1b2523","target":"graph","created_at":"2026-07-05T04:13:40Z","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/2108.04386/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend the investigation of special toroidal compactifications of heterotic string theory for which the half-BPS states provide representations of subgroups of the Conway group. We also explore dual descriptions of these theories and find that they are all linked to either F-theory or type IIA string theory on K3 surfaces with symplectic automorphism groups that are the same Conway subgroups as those of the heterotic dual. The matching with type IIA K3 dual theories includes both the matching of symmetry groups and a comparison between the Narain lattice on the heterotic side and the cohomo","authors_text":"Jeffrey A. Harvey, Zihni Kaan Baykara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-08-09T23:58:35Z","title":"Conway Subgroup Symmetric Compactifications Redux"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.04386","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:d5460f010191efd894073ac66bd5cecbdaec407835c389df65f67d3b48635d19","target":"record","created_at":"2026-07-05T04:13:40Z","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":"d61904076a15f95abce4fde6b5b2fd366db40d98447e298dde4ee26ece928d08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-08-09T23:58:35Z","title_canon_sha256":"39547036baeb8d5f01f2b59e06821ee8ce7b00831208cfd092cb3ddb0f2cc425"},"schema_version":"1.0","source":{"id":"2108.04386","kind":"arxiv","version":1}},"canonical_sha256":"359890efb671214333a02632bbdf7d70212178d5375253b0db5d5d49ff608465","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"359890efb671214333a02632bbdf7d70212178d5375253b0db5d5d49ff608465","first_computed_at":"2026-07-05T04:13:40.289653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:13:40.289653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FS59ulLJPro1jPm7FQjfFVM4/Z2pD8bkjzxz4WZCn1rVYkOFvZW34AB6q/68B4rHKu748S/ksoP7TSvFAGPtCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:13:40.290110Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.04386","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5460f010191efd894073ac66bd5cecbdaec407835c389df65f67d3b48635d19","sha256:bf914aa98daddca3ad7b3232dd79d7d4f4039a4c20ef1d76e353c5f48b1b2523"],"state_sha256":"1f34e4f371c01bfa58bdb0b7ea8f272c1d107a4b5d04b99e446489aff94722f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fnrKjt/FLaP32cjRE3b/vYD/40VTQgUQtJ+7ELOaZubnrMd1aKTMzXT4Em4J6eS6xK2IQ+488fsYrQWrct0LBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:22:01.982942Z","bundle_sha256":"8a6d0c82c6a14fb59e92b6aea07b8eefe8ddd48ea346a5e680ab284fb3a76d72"}}