{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IDYTO3N6VKO5MPQZ55RRYVGWDS","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":"6e28fdb37c07e4b4e18c9165108442f51d6d600d9520b09fb31a86376db6e549","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-19T23:12:36Z","title_canon_sha256":"6f5605249b706013d0ca03ae95be2c19fb9e2070601741ba05e8cfc33b8a7b2f"},"schema_version":"1.0","source":{"id":"1310.5278","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5278","created_at":"2026-05-18T01:22:43Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5278v2","created_at":"2026-05-18T01:22:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5278","created_at":"2026-05-18T01:22:43Z"},{"alias_kind":"pith_short_12","alias_value":"IDYTO3N6VKO5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IDYTO3N6VKO5MPQZ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IDYTO3N6","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:8db558d4541a2d56262b24312f17bc41272a917554c212c2a3cc30a1fad53816","target":"graph","created_at":"2026-05-18T01:22:43Z","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":"In this paper we provide a definition of the D-map, namely of the mathematical construction implicitly utilized by supergravity that associates an axial symmetric Kahler surface to every positive definite potential function V(phi). The properties of the D-map are discussed in general. Then the D-map is applied to the list of integrable cosmological potentials classified by us in a previous publication with A. Sagnotti. Several interesting geometrical and analytical properties of the manifolds in the image of this D-map are discovered and illustrated. As a by-product of our analysis we demonstr","authors_text":"A.S. Sorin, P. Fre","cross_cats":["astro-ph.CO","gr-qc","hep-ph","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-19T23:12:36Z","title":"Axial Symmetric Kahler manifolds, the D-map of Inflaton Potentials and the Picard-Fuchs Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5278","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":"sha256:6bb0f4f81309fcd2759b186a68f60dd11fb1ce186ee038824b69d97e85776afa","target":"record","created_at":"2026-05-18T01:22:43Z","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":"6e28fdb37c07e4b4e18c9165108442f51d6d600d9520b09fb31a86376db6e549","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-19T23:12:36Z","title_canon_sha256":"6f5605249b706013d0ca03ae95be2c19fb9e2070601741ba05e8cfc33b8a7b2f"},"schema_version":"1.0","source":{"id":"1310.5278","kind":"arxiv","version":2}},"canonical_sha256":"40f1376dbeaa9dd63e19ef631c54d61ca3085863b52894a3ab812ef3ced872df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40f1376dbeaa9dd63e19ef631c54d61ca3085863b52894a3ab812ef3ced872df","first_computed_at":"2026-05-18T01:22:43.859567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:43.859567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EKSgvL7n7NMt71qk1lfjA7Oxjlram5g2oO9TEbvpDdOfzdp0bRSHZxEpCGL31YM1ySaHRXHQZ+Av7agk8WWeAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:43.860265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5278","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bb0f4f81309fcd2759b186a68f60dd11fb1ce186ee038824b69d97e85776afa","sha256:8db558d4541a2d56262b24312f17bc41272a917554c212c2a3cc30a1fad53816"],"state_sha256":"fff85bd3472a8d1ada68fa6622be9a8c900f41ce8938d62e0566339444e5934c"}