{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:D6VAP7OHOL6LNL63THFOEJ77NF","short_pith_number":"pith:D6VAP7OH","canonical_record":{"source":{"id":"math/0512084","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2005-12-04T19:00:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"82549344f06da5de986b9951c757450703d09d285f0364ff9bbb55437d4b2301","abstract_canon_sha256":"b08474322e43ebe4eba0b1cfd9d8cf934b137b4313ca20d0349eea8e536cf169"},"schema_version":"1.0"},"canonical_sha256":"1faa07fdc772fcb6afdb99cae227ff695e4b53da98f2cd795c365b2f419f66eb","source":{"kind":"arxiv","id":"math/0512084","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0512084","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0512084v1","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0512084","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"pith_short_12","alias_value":"D6VAP7OHOL6L","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"D6VAP7OHOL6LNL63","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"D6VAP7OH","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:D6VAP7OHOL6LNL63THFOEJ77NF","target":"record","payload":{"canonical_record":{"source":{"id":"math/0512084","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2005-12-04T19:00:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"82549344f06da5de986b9951c757450703d09d285f0364ff9bbb55437d4b2301","abstract_canon_sha256":"b08474322e43ebe4eba0b1cfd9d8cf934b137b4313ca20d0349eea8e536cf169"},"schema_version":"1.0"},"canonical_sha256":"1faa07fdc772fcb6afdb99cae227ff695e4b53da98f2cd795c365b2f419f66eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:24.605634Z","signature_b64":"6Uw0ZRbV75Wv+w3ELoht5O48lj79cXBxHYVHryYVnuF+1h4DLw3GkX5ZHekFe6yRDsFWFShNef7yHHwmitTRCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1faa07fdc772fcb6afdb99cae227ff695e4b53da98f2cd795c365b2f419f66eb","last_reissued_at":"2026-05-18T01:38:24.604883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:24.604883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0512084","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":"2026-05-18T01:38:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RFNChWrPcxf3V9MJaLA/SY1j6W05nbFX4V5sFk+1f4ObMOle55ocnJIZjlusrvqP0BsvKdtgdinZ+5IZKYSGBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:17:53.204751Z"},"content_sha256":"02fd4833071d52dd169cd9def97cf28933e759e3f9a2a2bd8a0198d919a1154d","schema_version":"1.0","event_id":"sha256:02fd4833071d52dd169cd9def97cf28933e759e3f9a2a2bd8a0198d919a1154d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:D6VAP7OHOL6LNL63THFOEJ77NF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The identification of conformal hypercomplex and quaternionic manifolds","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Antoine Van Proeyen, Eric Bergshoeff, Stefan Vandoren","submitted_at":"2005-12-04T19:00:06Z","abstract_excerpt":"We review the map between hypercomplex manifolds that admit a closed homothetic Killing vector (i.e. `conformal hypercomplex' manifolds) and quaternionic manifolds of 1 dimension less. This map is related to a method for constructing supergravity theories using superconformal techniques. An explicit relation between the structure of these manifolds is presented, including curvatures and symmetries. An important role is played by `\\xi transformations', relating connections on quaternionic manifolds, and a new type `\\hat\\xi transformations' relating complex structures on conformal hypercomplex m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0512084","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":"2026-05-18T01:38:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9GaZLMtbEmAQlfwJcWmmPZmVqp0ukx/5wrJ9WnNHD13NArL4dRTmQc4zeKUAphSz0hdx0fxxIQRMHnxYUTM2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:17:53.205510Z"},"content_sha256":"c3de3f90edb103bee3de34e9f3ba3345bc3c7ca56c7f9f2bf35983e6e99fbb7d","schema_version":"1.0","event_id":"sha256:c3de3f90edb103bee3de34e9f3ba3345bc3c7ca56c7f9f2bf35983e6e99fbb7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6VAP7OHOL6LNL63THFOEJ77NF/bundle.json","state_url":"https://pith.science/pith/D6VAP7OHOL6LNL63THFOEJ77NF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6VAP7OHOL6LNL63THFOEJ77NF/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":"2026-06-08T21:17:53Z","links":{"resolver":"https://pith.science/pith/D6VAP7OHOL6LNL63THFOEJ77NF","bundle":"https://pith.science/pith/D6VAP7OHOL6LNL63THFOEJ77NF/bundle.json","state":"https://pith.science/pith/D6VAP7OHOL6LNL63THFOEJ77NF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6VAP7OHOL6LNL63THFOEJ77NF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:D6VAP7OHOL6LNL63THFOEJ77NF","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":"b08474322e43ebe4eba0b1cfd9d8cf934b137b4313ca20d0349eea8e536cf169","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.DG","submitted_at":"2005-12-04T19:00:06Z","title_canon_sha256":"82549344f06da5de986b9951c757450703d09d285f0364ff9bbb55437d4b2301"},"schema_version":"1.0","source":{"id":"math/0512084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0512084","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0512084v1","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0512084","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"pith_short_12","alias_value":"D6VAP7OHOL6L","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"D6VAP7OHOL6LNL63","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"D6VAP7OH","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:c3de3f90edb103bee3de34e9f3ba3345bc3c7ca56c7f9f2bf35983e6e99fbb7d","target":"graph","created_at":"2026-05-18T01:38:24Z","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 review the map between hypercomplex manifolds that admit a closed homothetic Killing vector (i.e. `conformal hypercomplex' manifolds) and quaternionic manifolds of 1 dimension less. This map is related to a method for constructing supergravity theories using superconformal techniques. An explicit relation between the structure of these manifolds is presented, including curvatures and symmetries. An important role is played by `\\xi transformations', relating connections on quaternionic manifolds, and a new type `\\hat\\xi transformations' relating complex structures on conformal hypercomplex m","authors_text":"Antoine Van Proeyen, Eric Bergshoeff, Stefan Vandoren","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2005-12-04T19:00:06Z","title":"The identification of conformal hypercomplex and quaternionic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0512084","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":"sha256:02fd4833071d52dd169cd9def97cf28933e759e3f9a2a2bd8a0198d919a1154d","target":"record","created_at":"2026-05-18T01:38:24Z","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":"b08474322e43ebe4eba0b1cfd9d8cf934b137b4313ca20d0349eea8e536cf169","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.DG","submitted_at":"2005-12-04T19:00:06Z","title_canon_sha256":"82549344f06da5de986b9951c757450703d09d285f0364ff9bbb55437d4b2301"},"schema_version":"1.0","source":{"id":"math/0512084","kind":"arxiv","version":1}},"canonical_sha256":"1faa07fdc772fcb6afdb99cae227ff695e4b53da98f2cd795c365b2f419f66eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1faa07fdc772fcb6afdb99cae227ff695e4b53da98f2cd795c365b2f419f66eb","first_computed_at":"2026-05-18T01:38:24.604883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:24.604883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Uw0ZRbV75Wv+w3ELoht5O48lj79cXBxHYVHryYVnuF+1h4DLw3GkX5ZHekFe6yRDsFWFShNef7yHHwmitTRCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:24.605634Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0512084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02fd4833071d52dd169cd9def97cf28933e759e3f9a2a2bd8a0198d919a1154d","sha256:c3de3f90edb103bee3de34e9f3ba3345bc3c7ca56c7f9f2bf35983e6e99fbb7d"],"state_sha256":"af11db5110d265ed3f8dc167f793b6217492d502fdd87a0453754bca39000569"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LJGdJhsspH3im4EqZYgK44cRZqjbTFp5ohFuj97H341E17LZCtL1CGTFlJxOzQdvEmVV4+FjoRymCFoUwqyzBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T21:17:53.209575Z","bundle_sha256":"dea78dcfb9f486181d0b703349244641d2e2045364b9180a763edecfa16262d7"}}