{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:G45MD7TLHC75WCOBGAP42OPGWS","short_pith_number":"pith:G45MD7TL","canonical_record":{"source":{"id":"1501.07838","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-30T16:53:59Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"88c847937cc0c49c93e64f7ef99217d3d969c61d35d9d7a4b4370a64ff4c349a","abstract_canon_sha256":"ecaabcc8ee499c8e2215e6a427792cd41736c318f7c7192bd35738aae8a5d300"},"schema_version":"1.0"},"canonical_sha256":"373ac1fe6b38bfdb09c1301fcd39e6b4a242e06cfc267109e57ba106bd722af8","source":{"kind":"arxiv","id":"1501.07838","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07838","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07838v3","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07838","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"pith_short_12","alias_value":"G45MD7TLHC75","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G45MD7TLHC75WCOB","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G45MD7TL","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:G45MD7TLHC75WCOBGAP42OPGWS","target":"record","payload":{"canonical_record":{"source":{"id":"1501.07838","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-30T16:53:59Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"88c847937cc0c49c93e64f7ef99217d3d969c61d35d9d7a4b4370a64ff4c349a","abstract_canon_sha256":"ecaabcc8ee499c8e2215e6a427792cd41736c318f7c7192bd35738aae8a5d300"},"schema_version":"1.0"},"canonical_sha256":"373ac1fe6b38bfdb09c1301fcd39e6b4a242e06cfc267109e57ba106bd722af8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:39.284511Z","signature_b64":"2DKLHEd60Ti5TYY7EF/adG/dl7kMDc6PGohGAfGej1iloFju38xI0LxhLOWzhSOPn17OTfoQ3vy14XCIXUrpDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"373ac1fe6b38bfdb09c1301fcd39e6b4a242e06cfc267109e57ba106bd722af8","last_reissued_at":"2026-05-18T00:16:39.283991Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:39.283991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.07838","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DXXbxtWHO+TTcSFDDBOjnWiEmLFrXcbDi4W54sRc7lLwV2HbfET76GYCOBNKybCUAhMnpHoeoJyobidoX1H1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T01:56:00.731295Z"},"content_sha256":"a6e8ce66957ac24b552707a3cf1d6b91aa054fa95d27d0482a8ecded708decb0","schema_version":"1.0","event_id":"sha256:a6e8ce66957ac24b552707a3cf1d6b91aa054fa95d27d0482a8ecded708decb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:G45MD7TLHC75WCOBGAP42OPGWS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New G2 holonomy cones and exotic nearly Kaehler structures on the 6-sphere and the product of a pair of 3-spheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Lorenzo Foscolo, Mark Haskins","submitted_at":"2015-01-30T16:53:59Z","abstract_excerpt":"There is a rich theory of so-called (strict) nearly Kaehler manifolds, almost-Hermitian manifolds generalising the famous almost complex structure on the 6-sphere induced by octonionic multiplication. Nearly Kaehler 6-manifolds play a distinguished role both in the general structure theory and also because of their connection with singular spaces with holonomy group the compact exceptional Lie group G2: the metric cone over a Riemannian 6-manifold M has holonomy contained in G2 if and only if M is a nearly Kaehler 6-manifold.\n  A central problem in the field has been the absence of any complet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07838","kind":"arxiv","version":3},"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":"2026-05-18T00:16:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONJVPluolffpEl0xM7Yw3Prk2HmjKM3U6lMhlErA4LhUQtunzib1+pSlcOp8CBfeF/AfwuLkYvVMrCi08d7xCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T01:56:00.731669Z"},"content_sha256":"7e68c8fbde75605a27443b8534214ff791f8a7e2f702854abd24440ffa236ea8","schema_version":"1.0","event_id":"sha256:7e68c8fbde75605a27443b8534214ff791f8a7e2f702854abd24440ffa236ea8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G45MD7TLHC75WCOBGAP42OPGWS/bundle.json","state_url":"https://pith.science/pith/G45MD7TLHC75WCOBGAP42OPGWS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G45MD7TLHC75WCOBGAP42OPGWS/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":"2026-06-28T01:56:00Z","links":{"resolver":"https://pith.science/pith/G45MD7TLHC75WCOBGAP42OPGWS","bundle":"https://pith.science/pith/G45MD7TLHC75WCOBGAP42OPGWS/bundle.json","state":"https://pith.science/pith/G45MD7TLHC75WCOBGAP42OPGWS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G45MD7TLHC75WCOBGAP42OPGWS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:G45MD7TLHC75WCOBGAP42OPGWS","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":"ecaabcc8ee499c8e2215e6a427792cd41736c318f7c7192bd35738aae8a5d300","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-30T16:53:59Z","title_canon_sha256":"88c847937cc0c49c93e64f7ef99217d3d969c61d35d9d7a4b4370a64ff4c349a"},"schema_version":"1.0","source":{"id":"1501.07838","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07838","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07838v3","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07838","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"pith_short_12","alias_value":"G45MD7TLHC75","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G45MD7TLHC75WCOB","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G45MD7TL","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:7e68c8fbde75605a27443b8534214ff791f8a7e2f702854abd24440ffa236ea8","target":"graph","created_at":"2026-05-18T00:16:39Z","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":"There is a rich theory of so-called (strict) nearly Kaehler manifolds, almost-Hermitian manifolds generalising the famous almost complex structure on the 6-sphere induced by octonionic multiplication. Nearly Kaehler 6-manifolds play a distinguished role both in the general structure theory and also because of their connection with singular spaces with holonomy group the compact exceptional Lie group G2: the metric cone over a Riemannian 6-manifold M has holonomy contained in G2 if and only if M is a nearly Kaehler 6-manifold.\n  A central problem in the field has been the absence of any complet","authors_text":"Lorenzo Foscolo, Mark Haskins","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-30T16:53:59Z","title":"New G2 holonomy cones and exotic nearly Kaehler structures on the 6-sphere and the product of a pair of 3-spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07838","kind":"arxiv","version":3},"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:a6e8ce66957ac24b552707a3cf1d6b91aa054fa95d27d0482a8ecded708decb0","target":"record","created_at":"2026-05-18T00:16:39Z","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":"ecaabcc8ee499c8e2215e6a427792cd41736c318f7c7192bd35738aae8a5d300","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-30T16:53:59Z","title_canon_sha256":"88c847937cc0c49c93e64f7ef99217d3d969c61d35d9d7a4b4370a64ff4c349a"},"schema_version":"1.0","source":{"id":"1501.07838","kind":"arxiv","version":3}},"canonical_sha256":"373ac1fe6b38bfdb09c1301fcd39e6b4a242e06cfc267109e57ba106bd722af8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"373ac1fe6b38bfdb09c1301fcd39e6b4a242e06cfc267109e57ba106bd722af8","first_computed_at":"2026-05-18T00:16:39.283991Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:39.283991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2DKLHEd60Ti5TYY7EF/adG/dl7kMDc6PGohGAfGej1iloFju38xI0LxhLOWzhSOPn17OTfoQ3vy14XCIXUrpDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:39.284511Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.07838","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6e8ce66957ac24b552707a3cf1d6b91aa054fa95d27d0482a8ecded708decb0","sha256:7e68c8fbde75605a27443b8534214ff791f8a7e2f702854abd24440ffa236ea8"],"state_sha256":"ee1e6e927885bf3bfa671f73327c0396719bd921542ff12106cfe60cc2b5fb18"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sQX6GMFv+5vsoTARYH5FYPR2VWo0roTZgMO77ST90yWwsA4BSCNKCR1fDsfL6ZX5t/IsRzKTIuICvsUh3qaBBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T01:56:00.733586Z","bundle_sha256":"fb539bdf24e90a476fb4dbaafbfd7da2d9faddfb9e6035e97978e411e451a924"}}