{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YHGSN7K2ZYTMHDDT26VSKXLBZ4","short_pith_number":"pith:YHGSN7K2","canonical_record":{"source":{"id":"1102.1518","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-08T06:50:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b15daf682264a7007513a026355156000d93007efbb78f1128593d349f3400d3","abstract_canon_sha256":"90725b276714acaf85a2a9c57d7f962a88f2224d5518490ca87c7d811037504b"},"schema_version":"1.0"},"canonical_sha256":"c1cd26fd5ace26c38c73d7ab255d61cf3a58a7423abbca6fbc9997c336803b39","source":{"kind":"arxiv","id":"1102.1518","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1518","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1518v2","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1518","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"pith_short_12","alias_value":"YHGSN7K2ZYTM","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YHGSN7K2ZYTMHDDT","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YHGSN7K2","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YHGSN7K2ZYTMHDDT26VSKXLBZ4","target":"record","payload":{"canonical_record":{"source":{"id":"1102.1518","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-08T06:50:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b15daf682264a7007513a026355156000d93007efbb78f1128593d349f3400d3","abstract_canon_sha256":"90725b276714acaf85a2a9c57d7f962a88f2224d5518490ca87c7d811037504b"},"schema_version":"1.0"},"canonical_sha256":"c1cd26fd5ace26c38c73d7ab255d61cf3a58a7423abbca6fbc9997c336803b39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:19.767359Z","signature_b64":"x72vWHqlIN/yzeSYC7eJiRIaQLd9DTEmwn0hJuwvTw0npBg5URPg6hOoF5j8kNQQpdMc0hioIlEzBCgfEbHVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1cd26fd5ace26c38c73d7ab255d61cf3a58a7423abbca6fbc9997c336803b39","last_reissued_at":"2026-05-18T04:07:19.766640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:19.766640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.1518","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":"2026-05-18T04:07:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uqCnmPQHCNPD9CgHv3MuKZy/0E56JJVl+fb4BFDFibzxugaWawU0kDD/Oo8jXjdnrwX0OqTgesBpQxqEGFonCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:32:52.623117Z"},"content_sha256":"e29c73140439c0474e19a484d3ea0d5efd3fd9d3f91129dd6268f3292a7791e6","schema_version":"1.0","event_id":"sha256:e29c73140439c0474e19a484d3ea0d5efd3fd9d3f91129dd6268f3292a7791e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YHGSN7K2ZYTMHDDT26VSKXLBZ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bianchi type A hyper-symplectic and hyper-K\\\"ahler metrics in 4D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Dimiter Vassilev, Jos\\'e A. Santisteban, Luis C. de Andr\\'es, Luis Ugarte, Marisa Fern\\'andez, Stefan Ivanov","submitted_at":"2011-02-08T06:50:15Z","abstract_excerpt":"We present a simple explicit construction of hyper-Kaehler and hyper-symplectic (also known as neutral hyper-Kaehler or hyper-parakaehler) metrics in 4D using the Bianchi type groups of class A. The construction underlies a correspondence between hyper-Kaehler and hyper-symplectic structures in dimension four."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1518","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":"2026-05-18T04:07:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"shJMShycuNFITiSbHi2S3o86D2UgZY9axyn9SSH5RAqqr2HuF5HrgDtcgzVewmREsdL2oEjYUdFUITwt0xNPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:32:52.623795Z"},"content_sha256":"689f585f1ddb7eec86fcdc978e7b6abfcffe83e46439a64ea649b7d8d9091918","schema_version":"1.0","event_id":"sha256:689f585f1ddb7eec86fcdc978e7b6abfcffe83e46439a64ea649b7d8d9091918"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YHGSN7K2ZYTMHDDT26VSKXLBZ4/bundle.json","state_url":"https://pith.science/pith/YHGSN7K2ZYTMHDDT26VSKXLBZ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YHGSN7K2ZYTMHDDT26VSKXLBZ4/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":"2026-05-31T01:32:52Z","links":{"resolver":"https://pith.science/pith/YHGSN7K2ZYTMHDDT26VSKXLBZ4","bundle":"https://pith.science/pith/YHGSN7K2ZYTMHDDT26VSKXLBZ4/bundle.json","state":"https://pith.science/pith/YHGSN7K2ZYTMHDDT26VSKXLBZ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YHGSN7K2ZYTMHDDT26VSKXLBZ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YHGSN7K2ZYTMHDDT26VSKXLBZ4","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":"90725b276714acaf85a2a9c57d7f962a88f2224d5518490ca87c7d811037504b","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-08T06:50:15Z","title_canon_sha256":"b15daf682264a7007513a026355156000d93007efbb78f1128593d349f3400d3"},"schema_version":"1.0","source":{"id":"1102.1518","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1518","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1518v2","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1518","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"pith_short_12","alias_value":"YHGSN7K2ZYTM","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YHGSN7K2ZYTMHDDT","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YHGSN7K2","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:689f585f1ddb7eec86fcdc978e7b6abfcffe83e46439a64ea649b7d8d9091918","target":"graph","created_at":"2026-05-18T04:07:19Z","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":"We present a simple explicit construction of hyper-Kaehler and hyper-symplectic (also known as neutral hyper-Kaehler or hyper-parakaehler) metrics in 4D using the Bianchi type groups of class A. The construction underlies a correspondence between hyper-Kaehler and hyper-symplectic structures in dimension four.","authors_text":"Dimiter Vassilev, Jos\\'e A. Santisteban, Luis C. de Andr\\'es, Luis Ugarte, Marisa Fern\\'andez, Stefan Ivanov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-08T06:50:15Z","title":"Bianchi type A hyper-symplectic and hyper-K\\\"ahler metrics in 4D"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1518","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:e29c73140439c0474e19a484d3ea0d5efd3fd9d3f91129dd6268f3292a7791e6","target":"record","created_at":"2026-05-18T04:07:19Z","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":"90725b276714acaf85a2a9c57d7f962a88f2224d5518490ca87c7d811037504b","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-08T06:50:15Z","title_canon_sha256":"b15daf682264a7007513a026355156000d93007efbb78f1128593d349f3400d3"},"schema_version":"1.0","source":{"id":"1102.1518","kind":"arxiv","version":2}},"canonical_sha256":"c1cd26fd5ace26c38c73d7ab255d61cf3a58a7423abbca6fbc9997c336803b39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1cd26fd5ace26c38c73d7ab255d61cf3a58a7423abbca6fbc9997c336803b39","first_computed_at":"2026-05-18T04:07:19.766640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:19.766640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x72vWHqlIN/yzeSYC7eJiRIaQLd9DTEmwn0hJuwvTw0npBg5URPg6hOoF5j8kNQQpdMc0hioIlEzBCgfEbHVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:19.767359Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1518","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e29c73140439c0474e19a484d3ea0d5efd3fd9d3f91129dd6268f3292a7791e6","sha256:689f585f1ddb7eec86fcdc978e7b6abfcffe83e46439a64ea649b7d8d9091918"],"state_sha256":"4ffd582874464f2b3005d37b30c7047c91a89ad302d0981156ac3203423c6d71"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JeouGtsA6HkSByH8sV+khVNVJuGhlD8rqfWgnPedt6ta9nxKrddPVOR8SLPbqTzHNuPn0eHrVMngxCsw4QmwBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:32:52.627378Z","bundle_sha256":"44ae7b56c988e9f3debef8e30cd41c7645eae157e4d31abfd6569f42349d0587"}}