{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CWKBWBGNYC2UVK4W6VEZ6S2NP2","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":"30ba61968cf36ba433018218cc4067de035a597c3da9b398d3d378dacde97602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-11T09:42:58Z","title_canon_sha256":"38d1aba5d3837937fd2fe2eb97c601b8619b7c44317b90bddbc270c38b91ba4c"},"schema_version":"1.0","source":{"id":"1805.04294","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04294","created_at":"2026-05-17T23:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04294v3","created_at":"2026-05-17T23:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04294","created_at":"2026-05-17T23:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"CWKBWBGNYC2U","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"CWKBWBGNYC2UVK4W","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"CWKBWBGN","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:a1dacf5008b115dd6ae88ea91a41e207ae8feb1cfa92bb394bed8c0d7eb49bd5","target":"graph","created_at":"2026-05-17T23:52:53Z","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":"This paper contains a thorough introduction to the basic geometric properties of the manifold of Lagrangian subspaces of a linear symplectic space, known as the Lagrangian Grassmannian. It also reviews the important relationship between hypersurfaces in the Lagrangian Grassmannian and second-order PDEs.","authors_text":"Gianni Manno, Giovanni Moreno, Jan Gutt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-11T09:42:58Z","title":"Geometry of Lagrangian Grassmannians and nonlinear PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04294","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":"sha256:1af6219fd5babf0a1d587a6476d45d79b10de417ffba7bfe324c43c49228c2a9","target":"record","created_at":"2026-05-17T23:52:53Z","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":"30ba61968cf36ba433018218cc4067de035a597c3da9b398d3d378dacde97602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-11T09:42:58Z","title_canon_sha256":"38d1aba5d3837937fd2fe2eb97c601b8619b7c44317b90bddbc270c38b91ba4c"},"schema_version":"1.0","source":{"id":"1805.04294","kind":"arxiv","version":3}},"canonical_sha256":"15941b04cdc0b54aab96f5499f4b4d7ea537060ac964f8c760e2889942ac76a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15941b04cdc0b54aab96f5499f4b4d7ea537060ac964f8c760e2889942ac76a3","first_computed_at":"2026-05-17T23:52:53.105122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:53.105122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a0AuYYYmspVMzKennJx5CzgY/vMx7jl3fZnY0RNZIgb+v7S0K+J5wYMAURcPa/sZLzvo6ahnmgCdIwCaN5H0Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:53.105862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.04294","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1af6219fd5babf0a1d587a6476d45d79b10de417ffba7bfe324c43c49228c2a9","sha256:a1dacf5008b115dd6ae88ea91a41e207ae8feb1cfa92bb394bed8c0d7eb49bd5"],"state_sha256":"9d45c34619561be7c89ef0825099a3f01708f493a726a8809e584594732abccc"}