{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:KG54TDL256SQMD2IM6VQ7I3V2P","short_pith_number":"pith:KG54TDL2","canonical_record":{"source":{"id":"1004.1858","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-12T00:17:12Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4b2f7bf74b0c76a2d54fec846d399752ba4381d33f807861291a69b2315c805b","abstract_canon_sha256":"9e86f9dd491158e42110cd0eed4f0d9bfb95dbe7c1d857158dad15f12f134c34"},"schema_version":"1.0"},"canonical_sha256":"51bbc98d7aefa5060f4867ab0fa375d3eac4aa68acd8e68d40d74b95d93406e1","source":{"kind":"arxiv","id":"1004.1858","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1858","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1858v1","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1858","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"KG54TDL256SQ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KG54TDL256SQMD2I","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KG54TDL2","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:KG54TDL256SQMD2IM6VQ7I3V2P","target":"record","payload":{"canonical_record":{"source":{"id":"1004.1858","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-12T00:17:12Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4b2f7bf74b0c76a2d54fec846d399752ba4381d33f807861291a69b2315c805b","abstract_canon_sha256":"9e86f9dd491158e42110cd0eed4f0d9bfb95dbe7c1d857158dad15f12f134c34"},"schema_version":"1.0"},"canonical_sha256":"51bbc98d7aefa5060f4867ab0fa375d3eac4aa68acd8e68d40d74b95d93406e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:34.540816Z","signature_b64":"fERBeAVWp8Mc48jX3FplapKkjz8ytrkGRJbzQ6dlD8phKR7mkIrUtXFGv5U7O7XLSvJH2bNYDnmzqz7q8qaxAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51bbc98d7aefa5060f4867ab0fa375d3eac4aa68acd8e68d40d74b95d93406e1","last_reissued_at":"2026-05-18T02:33:34.540331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:34.540331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.1858","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":"2026-05-18T02:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u79ggApNW9ORIQb/Yw/QeFS22E79xSvaMai9f2l4gX+pWSiRT678YScFW5I49HoDePJyIQhdSRuOverz8G51DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T08:51:59.995708Z"},"content_sha256":"0fb62ec231e9f2c971fc82c656a1c5a4398bb96cde925f9af083663fd19acdfb","schema_version":"1.0","event_id":"sha256:0fb62ec231e9f2c971fc82c656a1c5a4398bb96cde925f9af083663fd19acdfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:KG54TDL256SQMD2IM6VQ7I3V2P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Nam-Hoon Lee","submitted_at":"2010-04-12T00:17:12Z","abstract_excerpt":"Most of Calabi-Yau manifolds that have been considered by physicists are complete intersection Calabi-Yau manifolds of toric varieties or some quotients of product types. Purpose of this paper is to introduce  a different and rather new kind of construction method of Calabi-Yau manifolds by pasting two non-compact Calabi-Yau manifolds. We will also in some details explain a curious and mysterious similarity with construction of some $G_2$-manifolds (also called Joyce manifolds), which are base spaces for M-theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1858","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":""},"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":"2026-05-18T02:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V4BG5GJPcHzlQiFRBzb8bQftCaArnEJXQjn4wWce9ghssK6+IFbJnWVRa6b7cxfFw0u/AYTeh1oLcu4vlhizBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T08:51:59.996070Z"},"content_sha256":"7c29139f3582e9d3ec2b7ca5b478ae148d689c54dc92281f35c58aca520a43c2","schema_version":"1.0","event_id":"sha256:7c29139f3582e9d3ec2b7ca5b478ae148d689c54dc92281f35c58aca520a43c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KG54TDL256SQMD2IM6VQ7I3V2P/bundle.json","state_url":"https://pith.science/pith/KG54TDL256SQMD2IM6VQ7I3V2P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KG54TDL256SQMD2IM6VQ7I3V2P/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":"2026-06-23T08:51:59Z","links":{"resolver":"https://pith.science/pith/KG54TDL256SQMD2IM6VQ7I3V2P","bundle":"https://pith.science/pith/KG54TDL256SQMD2IM6VQ7I3V2P/bundle.json","state":"https://pith.science/pith/KG54TDL256SQMD2IM6VQ7I3V2P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KG54TDL256SQMD2IM6VQ7I3V2P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KG54TDL256SQMD2IM6VQ7I3V2P","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":"9e86f9dd491158e42110cd0eed4f0d9bfb95dbe7c1d857158dad15f12f134c34","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-12T00:17:12Z","title_canon_sha256":"4b2f7bf74b0c76a2d54fec846d399752ba4381d33f807861291a69b2315c805b"},"schema_version":"1.0","source":{"id":"1004.1858","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1858","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1858v1","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1858","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"KG54TDL256SQ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KG54TDL256SQMD2I","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KG54TDL2","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:7c29139f3582e9d3ec2b7ca5b478ae148d689c54dc92281f35c58aca520a43c2","target":"graph","created_at":"2026-05-18T02:33:34Z","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":"Most of Calabi-Yau manifolds that have been considered by physicists are complete intersection Calabi-Yau manifolds of toric varieties or some quotients of product types. Purpose of this paper is to introduce  a different and rather new kind of construction method of Calabi-Yau manifolds by pasting two non-compact Calabi-Yau manifolds. We will also in some details explain a curious and mysterious similarity with construction of some $G_2$-manifolds (also called Joyce manifolds), which are base spaces for M-theory.","authors_text":"Nam-Hoon Lee","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-12T00:17:12Z","title":"Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1858","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":"sha256:0fb62ec231e9f2c971fc82c656a1c5a4398bb96cde925f9af083663fd19acdfb","target":"record","created_at":"2026-05-18T02:33:34Z","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":"9e86f9dd491158e42110cd0eed4f0d9bfb95dbe7c1d857158dad15f12f134c34","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-12T00:17:12Z","title_canon_sha256":"4b2f7bf74b0c76a2d54fec846d399752ba4381d33f807861291a69b2315c805b"},"schema_version":"1.0","source":{"id":"1004.1858","kind":"arxiv","version":1}},"canonical_sha256":"51bbc98d7aefa5060f4867ab0fa375d3eac4aa68acd8e68d40d74b95d93406e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51bbc98d7aefa5060f4867ab0fa375d3eac4aa68acd8e68d40d74b95d93406e1","first_computed_at":"2026-05-18T02:33:34.540331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:34.540331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fERBeAVWp8Mc48jX3FplapKkjz8ytrkGRJbzQ6dlD8phKR7mkIrUtXFGv5U7O7XLSvJH2bNYDnmzqz7q8qaxAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:34.540816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1858","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fb62ec231e9f2c971fc82c656a1c5a4398bb96cde925f9af083663fd19acdfb","sha256:7c29139f3582e9d3ec2b7ca5b478ae148d689c54dc92281f35c58aca520a43c2"],"state_sha256":"1eb0792e58fc43f02864661caf150c8ccfab75e6b3ecb937845fa7e6f7518c76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"adGGgCgkGHAsKZUnnyoyUDNkc3fG2IoAIndmD6WnfLcd+LLAKhvA8RtK29S31bItOX2xAQ+MNYXU8rqgvYWYDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T08:51:59.997993Z","bundle_sha256":"7fcfdf9b08537038035c59a62af01cb79ac1405d8b52c9c3ac85b53203403075"}}