{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:L4JE4EADLHAF6ELYWIMZ7KXBSM","short_pith_number":"pith:L4JE4EAD","canonical_record":{"source":{"id":"math/0603048","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2006-03-02T14:32:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d7511f9279e3fd12ee9a8d15d494254804cf088323846eb62e555bd0709c101a","abstract_canon_sha256":"5a0d6b8281033d3ab352e87df1389f8542fc8b5c14ab7f21cda75c5858d96df4"},"schema_version":"1.0"},"canonical_sha256":"5f124e100359c05f1178b2199faae19327eedefbe96f3cb9fb0f322ca831cce2","source":{"kind":"arxiv","id":"math/0603048","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0603048","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"math/0603048v3","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0603048","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"L4JE4EADLHAF","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"pith_short_16","alias_value":"L4JE4EADLHAF6ELY","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"pith_short_8","alias_value":"L4JE4EAD","created_at":"2026-07-04T14:53:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:L4JE4EADLHAF6ELYWIMZ7KXBSM","target":"record","payload":{"canonical_record":{"source":{"id":"math/0603048","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2006-03-02T14:32:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d7511f9279e3fd12ee9a8d15d494254804cf088323846eb62e555bd0709c101a","abstract_canon_sha256":"5a0d6b8281033d3ab352e87df1389f8542fc8b5c14ab7f21cda75c5858d96df4"},"schema_version":"1.0"},"canonical_sha256":"5f124e100359c05f1178b2199faae19327eedefbe96f3cb9fb0f322ca831cce2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:53:56.574840Z","signature_b64":"CS+FRluqEXgQoiCwvicLro5HaLYbi5UxzXSC2JXxyydzIAUjYKw4FdEJfY+XmtKfQc28lAgQ/3I73KEyPW5qBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f124e100359c05f1178b2199faae19327eedefbe96f3cb9fb0f322ca831cce2","last_reissued_at":"2026-07-04T14:53:56.574438Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:53:56.574438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0603048","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":"2026-07-04T14:53:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VCp1a+r0MYcBdISzwKhfRVjVnipShfMZunzCK7cDsA4HY/q7JcqvdDXAApvRbt4l1Hyi4i6ehWL2Yy5OtaoKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T02:04:39.717698Z"},"content_sha256":"a8aa02a56a7ce0670cfc81d92b8086176427a7d2b69cc694c1fed2cdefebc213","schema_version":"1.0","event_id":"sha256:a8aa02a56a7ce0670cfc81d92b8086176427a7d2b69cc694c1fed2cdefebc213"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:L4JE4EADLHAF6ELYWIMZ7KXBSM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quaternion-Kahler spaces, hyperkahler cones, and the c-map","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Cumrun Vafa, Martin Rocek, Stefan Vandoren","submitted_at":"2006-03-02T14:32:50Z","abstract_excerpt":"Under the action of the c-map, special Kahler manifolds are mapped into a class of quaternion-Kahler spaces. We explicitly construct the corresponding Swann bundle or hyperkahler cone, and determine the hyperkahler potential in terms of the prepotential of the special Kahler geometry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0603048","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0603048/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":"2026-07-04T14:53:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h1tZUTpD3LNzDK4YYPqaowia/iZGsyWJLwum30GDfEIPgNDUe8qlbeFJydY5NXpiHO2lu0d8dYLnIwmFxwE0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T02:04:39.718080Z"},"content_sha256":"ba7934a09a1008c15cd7ad884a229ed35f48189fcef20e3a182f13473d9da130","schema_version":"1.0","event_id":"sha256:ba7934a09a1008c15cd7ad884a229ed35f48189fcef20e3a182f13473d9da130"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L4JE4EADLHAF6ELYWIMZ7KXBSM/bundle.json","state_url":"https://pith.science/pith/L4JE4EADLHAF6ELYWIMZ7KXBSM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L4JE4EADLHAF6ELYWIMZ7KXBSM/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":"2026-07-22T02:04:39Z","links":{"resolver":"https://pith.science/pith/L4JE4EADLHAF6ELYWIMZ7KXBSM","bundle":"https://pith.science/pith/L4JE4EADLHAF6ELYWIMZ7KXBSM/bundle.json","state":"https://pith.science/pith/L4JE4EADLHAF6ELYWIMZ7KXBSM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L4JE4EADLHAF6ELYWIMZ7KXBSM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:L4JE4EADLHAF6ELYWIMZ7KXBSM","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":"5a0d6b8281033d3ab352e87df1389f8542fc8b5c14ab7f21cda75c5858d96df4","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.DG","submitted_at":"2006-03-02T14:32:50Z","title_canon_sha256":"d7511f9279e3fd12ee9a8d15d494254804cf088323846eb62e555bd0709c101a"},"schema_version":"1.0","source":{"id":"math/0603048","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0603048","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"math/0603048v3","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0603048","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"L4JE4EADLHAF","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"pith_short_16","alias_value":"L4JE4EADLHAF6ELY","created_at":"2026-07-04T14:53:56Z"},{"alias_kind":"pith_short_8","alias_value":"L4JE4EAD","created_at":"2026-07-04T14:53:56Z"}],"graph_snapshots":[{"event_id":"sha256:ba7934a09a1008c15cd7ad884a229ed35f48189fcef20e3a182f13473d9da130","target":"graph","created_at":"2026-07-04T14:53:56Z","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/math/0603048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Under the action of the c-map, special Kahler manifolds are mapped into a class of quaternion-Kahler spaces. We explicitly construct the corresponding Swann bundle or hyperkahler cone, and determine the hyperkahler potential in terms of the prepotential of the special Kahler geometry.","authors_text":"Cumrun Vafa, Martin Rocek, Stefan Vandoren","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2006-03-02T14:32:50Z","title":"Quaternion-Kahler spaces, hyperkahler cones, and the c-map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0603048","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:a8aa02a56a7ce0670cfc81d92b8086176427a7d2b69cc694c1fed2cdefebc213","target":"record","created_at":"2026-07-04T14:53:56Z","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":"5a0d6b8281033d3ab352e87df1389f8542fc8b5c14ab7f21cda75c5858d96df4","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.DG","submitted_at":"2006-03-02T14:32:50Z","title_canon_sha256":"d7511f9279e3fd12ee9a8d15d494254804cf088323846eb62e555bd0709c101a"},"schema_version":"1.0","source":{"id":"math/0603048","kind":"arxiv","version":3}},"canonical_sha256":"5f124e100359c05f1178b2199faae19327eedefbe96f3cb9fb0f322ca831cce2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f124e100359c05f1178b2199faae19327eedefbe96f3cb9fb0f322ca831cce2","first_computed_at":"2026-07-04T14:53:56.574438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:53:56.574438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CS+FRluqEXgQoiCwvicLro5HaLYbi5UxzXSC2JXxyydzIAUjYKw4FdEJfY+XmtKfQc28lAgQ/3I73KEyPW5qBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:53:56.574840Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0603048","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8aa02a56a7ce0670cfc81d92b8086176427a7d2b69cc694c1fed2cdefebc213","sha256:ba7934a09a1008c15cd7ad884a229ed35f48189fcef20e3a182f13473d9da130"],"state_sha256":"3783ef49e624661833ef4578c9dd8fa7b2d2fd992520f99b6dfcfc37b5393c7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/PR89MWRr7wWgad47DRn8VRNy/bMi0hs2J3Bg6TxxYLF0eyTRQZO43RsBciGd3Ld0Z0heAiJ80kr7KkOSbSGDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-22T02:04:39.720267Z","bundle_sha256":"11cb11766f738bf94ffbf3905020ee4298bebc4d0b9de49a7f9eb78807ab7b95"}}