{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LO3ZSGJIB7K3X2E7NLY3XI54YW","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":"66cfcd2d9f9dc16bc80f439b636c1b3f4f4d90f9a2ac566992499885b2304f4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-09-06T15:13:47Z","title_canon_sha256":"a6b202c25d4b20a60343141c4a0301b1e94af5a386640fffb10d28781d46d296"},"schema_version":"1.0","source":{"id":"1609.01598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01598","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01598v1","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01598","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"LO3ZSGJIB7K3","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LO3ZSGJIB7K3X2E7","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LO3ZSGJI","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:d0cf1ec99e7aa0127a8585e5fe4b1abd5fb7f4ddacfe6e7b8214e3236a596774","target":"graph","created_at":"2026-05-18T00:48:05Z","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 characterize all natural linear operations between spaces of differential forms on contact manifolds. Our main theorem says roughly that such operations are built from some algebraic operators which we introduce and the exterior derivative.","authors_text":"Andreas Bernig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-09-06T15:13:47Z","title":"Natural operations on differential forms on contact manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01598","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":"sha256:26b9dfcc20cd4f491d1ebbc95ea68a938fefee7a736a19184a1382d3cd4bf13a","target":"record","created_at":"2026-05-18T00:48:05Z","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":"66cfcd2d9f9dc16bc80f439b636c1b3f4f4d90f9a2ac566992499885b2304f4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-09-06T15:13:47Z","title_canon_sha256":"a6b202c25d4b20a60343141c4a0301b1e94af5a386640fffb10d28781d46d296"},"schema_version":"1.0","source":{"id":"1609.01598","kind":"arxiv","version":1}},"canonical_sha256":"5bb79919280fd5bbe89f6af1bba3bcc5b2c111bf9336dba35c34f681328d2edd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bb79919280fd5bbe89f6af1bba3bcc5b2c111bf9336dba35c34f681328d2edd","first_computed_at":"2026-05-18T00:48:05.503519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:05.503519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k1/YUc9Z6COM4xBt7SRYvJj1Mky+WSWRO4Rxzg2exF3eBNxhAgHW6b0BeY+meq2yfzQuO1a/LDsQLS6AqAQ3AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:05.504034Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.01598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26b9dfcc20cd4f491d1ebbc95ea68a938fefee7a736a19184a1382d3cd4bf13a","sha256:d0cf1ec99e7aa0127a8585e5fe4b1abd5fb7f4ddacfe6e7b8214e3236a596774"],"state_sha256":"ea3e34bf96e1e5d01fb732ffb344f124b111f681ccdca838a4e9cab648207632"}