{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:OCFTZLPEWQMEF3O67A2XO2QXAI","short_pith_number":"pith:OCFTZLPE","schema_version":"1.0","canonical_sha256":"708b3cade4b41842eddef835776a17021c5040d35e91032b18aaf1a1f020b9eb","source":{"kind":"arxiv","id":"1607.06947","version":1},"attestation_state":"computed","paper":{"title":"Complex supermanifolds with many unipotent automorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"Matthias Kalus","submitted_at":"2016-07-23T15:20:15Z","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 $[X,\\cdot]$"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1607.06947","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-07-23T15:20:15Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"c9cdf08caa374a9387f9d43173397d58501bf97dc5718b7fef9cbe196681f1f7","abstract_canon_sha256":"177f87bcd9ff1027f2f3b46e1c7ac87ba6aac12aa513bf9d23d00d3e7a3c45b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:35.362289Z","signature_b64":"6jJGWSeuPkyV+eiLw/QGcZzi83pghkUjtYA3Q6LpoAf0ksmpkSFd+PLPsrlPnOjKjpZ8fZeotVwwX0EFyRX8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"708b3cade4b41842eddef835776a17021c5040d35e91032b18aaf1a1f020b9eb","last_reissued_at":"2026-05-18T01:10:35.361688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:35.361688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complex supermanifolds with many unipotent automorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"Matthias Kalus","submitted_at":"2016-07-23T15:20:15Z","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 $[X,\\cdot]$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06947","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1607.06947","created_at":"2026-05-18T01:10:35.361780+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.06947v1","created_at":"2026-05-18T01:10:35.361780+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06947","created_at":"2026-05-18T01:10:35.361780+00:00"},{"alias_kind":"pith_short_12","alias_value":"OCFTZLPEWQME","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"OCFTZLPEWQMEF3O6","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"OCFTZLPE","created_at":"2026-05-18T12:30:36.002864+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OCFTZLPEWQMEF3O67A2XO2QXAI","json":"https://pith.science/pith/OCFTZLPEWQMEF3O67A2XO2QXAI.json","graph_json":"https://pith.science/api/pith-number/OCFTZLPEWQMEF3O67A2XO2QXAI/graph.json","events_json":"https://pith.science/api/pith-number/OCFTZLPEWQMEF3O67A2XO2QXAI/events.json","paper":"https://pith.science/paper/OCFTZLPE"},"agent_actions":{"view_html":"https://pith.science/pith/OCFTZLPEWQMEF3O67A2XO2QXAI","download_json":"https://pith.science/pith/OCFTZLPEWQMEF3O67A2XO2QXAI.json","view_paper":"https://pith.science/paper/OCFTZLPE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.06947&json=true","fetch_graph":"https://pith.science/api/pith-number/OCFTZLPEWQMEF3O67A2XO2QXAI/graph.json","fetch_events":"https://pith.science/api/pith-number/OCFTZLPEWQMEF3O67A2XO2QXAI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OCFTZLPEWQMEF3O67A2XO2QXAI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OCFTZLPEWQMEF3O67A2XO2QXAI/action/storage_attestation","attest_author":"https://pith.science/pith/OCFTZLPEWQMEF3O67A2XO2QXAI/action/author_attestation","sign_citation":"https://pith.science/pith/OCFTZLPEWQMEF3O67A2XO2QXAI/action/citation_signature","submit_replication":"https://pith.science/pith/OCFTZLPEWQMEF3O67A2XO2QXAI/action/replication_record"}},"created_at":"2026-05-18T01:10:35.361780+00:00","updated_at":"2026-05-18T01:10:35.361780+00:00"}