{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:O33JZHQ636KSXKMGZEGX6PFAJU","short_pith_number":"pith:O33JZHQ6","canonical_record":{"source":{"id":"1905.01474","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-04T11:17:29Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"fa2d2e9df8fbba2882351e25c8b6f305ce885171c3c31f0cb063edcf1e741fa2","abstract_canon_sha256":"3f8411ce42d12ba548d2a891bf44e64d2ca3af3405994d6d4e18f17733c2f23b"},"schema_version":"1.0"},"canonical_sha256":"76f69c9e1edf952ba986c90d7f3ca04d049f62059c00e1dd4328e8d585244849","source":{"kind":"arxiv","id":"1905.01474","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.01474","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"arxiv_version","alias_value":"1905.01474v1","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01474","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"pith_short_12","alias_value":"O33JZHQ636KS","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"O33JZHQ636KSXKMG","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"O33JZHQ6","created_at":"2026-07-05T00:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:O33JZHQ636KSXKMGZEGX6PFAJU","target":"record","payload":{"canonical_record":{"source":{"id":"1905.01474","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-04T11:17:29Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"fa2d2e9df8fbba2882351e25c8b6f305ce885171c3c31f0cb063edcf1e741fa2","abstract_canon_sha256":"3f8411ce42d12ba548d2a891bf44e64d2ca3af3405994d6d4e18f17733c2f23b"},"schema_version":"1.0"},"canonical_sha256":"76f69c9e1edf952ba986c90d7f3ca04d049f62059c00e1dd4328e8d585244849","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:31:49.467250Z","signature_b64":"mfGfRH1SwKLvEmx7pstWwTwgbZqtrNvc3OI5oshy348LwqtLx+cJ68rDs9ME/kF0NHdqyW4BBKyLXCa7zWjwCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76f69c9e1edf952ba986c90d7f3ca04d049f62059c00e1dd4328e8d585244849","last_reissued_at":"2026-07-05T00:31:49.466773Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:31:49.466773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.01474","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":"2026-07-05T00:31:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lfymxVK+BkakTRNNQ7IHEpQK0aUSj4muDtULl6Q0gloVNDatFe6PXjpNQb+Avgac2hVdAjfR+Zom5k8mZqdpDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T04:35:56.836317Z"},"content_sha256":"928a271a1f7616e3692686a3b63c03699cbe02dd1d45959324cf645405431b35","schema_version":"1.0","event_id":"sha256:928a271a1f7616e3692686a3b63c03699cbe02dd1d45959324cf645405431b35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:O33JZHQ636KSXKMGZEGX6PFAJU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Mirror Maps for Manifolds of Exceptional Holonomy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Alexander Otto, Andreas P. Braun, Suvajit Majumder","submitted_at":"2019-05-04T11:17:29Z","abstract_excerpt":"We study mirror symmetry of type II strings on manifolds with the exceptional holonomy groups $G_2$ and Spin(7). Our central result is a construction of mirrors of Spin(7) manifolds realized as generalized connected sums. In parallel to twisted connected sum $G_2$ manifolds, mirrors of such Spin(7) manifolds can be found by applying mirror symmetry to the pair of non-compact manifolds they are glued from. To provide non-trivial checks for such geometric mirror constructions, we give a CFT analysis of mirror maps for Joyce orbifolds in several new instances for both the Spin(7) and the $G_2$ ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01474","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/1905.01474/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":"2026-07-05T00:31:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z2A4OSs7J15IqPp6mmfo8TJvDPJymkMTIsV+OLyOlge+qLCCLEsY/HFSWiK2M5utuOTRj8C3XTDZpZeSuzyCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T04:35:56.836810Z"},"content_sha256":"deb03020777001e448acda0696ac2fd21cb743f6df0cc1d4be455c2f1a9ccc4c","schema_version":"1.0","event_id":"sha256:deb03020777001e448acda0696ac2fd21cb743f6df0cc1d4be455c2f1a9ccc4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O33JZHQ636KSXKMGZEGX6PFAJU/bundle.json","state_url":"https://pith.science/pith/O33JZHQ636KSXKMGZEGX6PFAJU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O33JZHQ636KSXKMGZEGX6PFAJU/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":"2026-08-23T04:35:56Z","links":{"resolver":"https://pith.science/pith/O33JZHQ636KSXKMGZEGX6PFAJU","bundle":"https://pith.science/pith/O33JZHQ636KSXKMGZEGX6PFAJU/bundle.json","state":"https://pith.science/pith/O33JZHQ636KSXKMGZEGX6PFAJU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O33JZHQ636KSXKMGZEGX6PFAJU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:O33JZHQ636KSXKMGZEGX6PFAJU","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":"3f8411ce42d12ba548d2a891bf44e64d2ca3af3405994d6d4e18f17733c2f23b","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-04T11:17:29Z","title_canon_sha256":"fa2d2e9df8fbba2882351e25c8b6f305ce885171c3c31f0cb063edcf1e741fa2"},"schema_version":"1.0","source":{"id":"1905.01474","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.01474","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"arxiv_version","alias_value":"1905.01474v1","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01474","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"pith_short_12","alias_value":"O33JZHQ636KS","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"O33JZHQ636KSXKMG","created_at":"2026-07-05T00:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"O33JZHQ6","created_at":"2026-07-05T00:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:deb03020777001e448acda0696ac2fd21cb743f6df0cc1d4be455c2f1a9ccc4c","target":"graph","created_at":"2026-07-05T00:31:49Z","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/1905.01474/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study mirror symmetry of type II strings on manifolds with the exceptional holonomy groups $G_2$ and Spin(7). Our central result is a construction of mirrors of Spin(7) manifolds realized as generalized connected sums. In parallel to twisted connected sum $G_2$ manifolds, mirrors of such Spin(7) manifolds can be found by applying mirror symmetry to the pair of non-compact manifolds they are glued from. To provide non-trivial checks for such geometric mirror constructions, we give a CFT analysis of mirror maps for Joyce orbifolds in several new instances for both the Spin(7) and the $G_2$ ca","authors_text":"Alexander Otto, Andreas P. Braun, Suvajit Majumder","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-04T11:17:29Z","title":"On Mirror Maps for Manifolds of Exceptional Holonomy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01474","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":"sha256:928a271a1f7616e3692686a3b63c03699cbe02dd1d45959324cf645405431b35","target":"record","created_at":"2026-07-05T00:31:49Z","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":"3f8411ce42d12ba548d2a891bf44e64d2ca3af3405994d6d4e18f17733c2f23b","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-04T11:17:29Z","title_canon_sha256":"fa2d2e9df8fbba2882351e25c8b6f305ce885171c3c31f0cb063edcf1e741fa2"},"schema_version":"1.0","source":{"id":"1905.01474","kind":"arxiv","version":1}},"canonical_sha256":"76f69c9e1edf952ba986c90d7f3ca04d049f62059c00e1dd4328e8d585244849","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76f69c9e1edf952ba986c90d7f3ca04d049f62059c00e1dd4328e8d585244849","first_computed_at":"2026-07-05T00:31:49.466773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:31:49.466773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mfGfRH1SwKLvEmx7pstWwTwgbZqtrNvc3OI5oshy348LwqtLx+cJ68rDs9ME/kF0NHdqyW4BBKyLXCa7zWjwCw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:31:49.467250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.01474","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:928a271a1f7616e3692686a3b63c03699cbe02dd1d45959324cf645405431b35","sha256:deb03020777001e448acda0696ac2fd21cb743f6df0cc1d4be455c2f1a9ccc4c"],"state_sha256":"9f59f4891990690ea003e3161ad86d30b1ae8c0efc4773d15e9c6e87694d60e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Mmyi2OofRM0QdI3J3t8JA/W+yaKMxdXraYZ1WGNr4L6lKt94eV/rLV2MR+GOzWFNoEb/eF3S8eTOd5oByP6BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T04:35:56.840502Z","bundle_sha256":"a9aa25f41d2084bedddcee14c090bfa973ee7912891b8b3cc1dc55f35e960ef9"}}