{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OCFTZLPEWQMEF3O67A2XO2QXAI","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":"177f87bcd9ff1027f2f3b46e1c7ac87ba6aac12aa513bf9d23d00d3e7a3c45b7","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-07-23T15:20:15Z","title_canon_sha256":"c9cdf08caa374a9387f9d43173397d58501bf97dc5718b7fef9cbe196681f1f7"},"schema_version":"1.0","source":{"id":"1607.06947","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06947","created_at":"2026-05-18T01:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06947v1","created_at":"2026-05-18T01:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06947","created_at":"2026-05-18T01:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"OCFTZLPEWQME","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OCFTZLPEWQMEF3O6","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OCFTZLPE","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:65c346039c18527f1233a0661426d59126672219a66763e4332203f4348a2900","target":"graph","created_at":"2026-05-18T01:10:35Z","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":"An automorphism on a complex supermanifold $\\mathcal M$ is called unipotent if it reduces to the identity on the associated graded supermanifold $gr(\\mathcal M)$. These automorphisms are close to be complementary to those responsible for homogeneity of a supermanifold. In analogy, their study yields results on the classification of supermanifolds. Unipotent automorphisms are induced by even global degree increasing vector fields $X\\in \\mathcal V_{\\mathcal M,\\bar 0}^{(2)}$. Plenitude of unipotent automorphisms is understood as follows: the presheaf of common kernels of the operators $[X,\\cdot]$","authors_text":"Matthias Kalus","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-07-23T15:20:15Z","title":"Complex supermanifolds with many unipotent automorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06947","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:d3378dfbe561660adb1e116c6dde7d8b3ac273f80f1c0e6c86b046c756e2971b","target":"record","created_at":"2026-05-18T01:10:35Z","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":"177f87bcd9ff1027f2f3b46e1c7ac87ba6aac12aa513bf9d23d00d3e7a3c45b7","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-07-23T15:20:15Z","title_canon_sha256":"c9cdf08caa374a9387f9d43173397d58501bf97dc5718b7fef9cbe196681f1f7"},"schema_version":"1.0","source":{"id":"1607.06947","kind":"arxiv","version":1}},"canonical_sha256":"708b3cade4b41842eddef835776a17021c5040d35e91032b18aaf1a1f020b9eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"708b3cade4b41842eddef835776a17021c5040d35e91032b18aaf1a1f020b9eb","first_computed_at":"2026-05-18T01:10:35.361688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:35.361688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6jJGWSeuPkyV+eiLw/QGcZzi83pghkUjtYA3Q6LpoAf0ksmpkSFd+PLPsrlPnOjKjpZ8fZeotVwwX0EFyRX8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:35.362289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06947","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3378dfbe561660adb1e116c6dde7d8b3ac273f80f1c0e6c86b046c756e2971b","sha256:65c346039c18527f1233a0661426d59126672219a66763e4332203f4348a2900"],"state_sha256":"2f9acf043151cf8d448b5a089dbe8fd7d10ef9e06d571ed36886d1b7905d63f5"}