{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:C3DFPT4KE55HURBWS563RBAYTM","short_pith_number":"pith:C3DFPT4K","schema_version":"1.0","canonical_sha256":"16c657cf8a277a7a4436977db884189b03e167ed6c95530f062ea2060132f395","source":{"kind":"arxiv","id":"1504.02653","version":1},"attestation_state":"computed","paper":{"title":"Automorphism Supergroups Of Supermanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Dominik Ostermayr","submitted_at":"2015-04-10T12:20:06Z","abstract_excerpt":"A classical theorem states that the group of automorphisms of a manifold $M$ preserving a $G$-structure of finite type is a Lie group. We generalize this statement to the category of $cs$ manifolds and give some examples, some of which being generalizations of classical notions, others being particular to the super case. Notably, we have to introduce a new notion of supermanifolds which we call mixed supermanifolds."},"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":"1504.02653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-04-10T12:20:06Z","cross_cats_sorted":[],"title_canon_sha256":"8252ec9ea13109b7aab4e6941ed2155f9f57d6fc4a2631615d77fad2bf0224e5","abstract_canon_sha256":"011a09fa8519956f8dd7a57c19e423b8f8a0fff6d660ba697ca861dcfd3ed675"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:06.984071Z","signature_b64":"/qGHFxOI7Baoj97fWsXq0CviB8P0b8oVdRv68mchx9M13ixM16dnnMr9YShtACU0DVzGHuArvbVr/ZEx/pOuCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16c657cf8a277a7a4436977db884189b03e167ed6c95530f062ea2060132f395","last_reissued_at":"2026-05-18T02:19:06.983297Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:06.983297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Automorphism Supergroups Of Supermanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Dominik Ostermayr","submitted_at":"2015-04-10T12:20:06Z","abstract_excerpt":"A classical theorem states that the group of automorphisms of a manifold $M$ preserving a $G$-structure of finite type is a Lie group. We generalize this statement to the category of $cs$ manifolds and give some examples, some of which being generalizations of classical notions, others being particular to the super case. Notably, we have to introduce a new notion of supermanifolds which we call mixed supermanifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02653","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":"1504.02653","created_at":"2026-05-18T02:19:06.983441+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.02653v1","created_at":"2026-05-18T02:19:06.983441+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02653","created_at":"2026-05-18T02:19:06.983441+00:00"},{"alias_kind":"pith_short_12","alias_value":"C3DFPT4KE55H","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"C3DFPT4KE55HURBW","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"C3DFPT4K","created_at":"2026-05-18T12:29:14.074870+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/C3DFPT4KE55HURBWS563RBAYTM","json":"https://pith.science/pith/C3DFPT4KE55HURBWS563RBAYTM.json","graph_json":"https://pith.science/api/pith-number/C3DFPT4KE55HURBWS563RBAYTM/graph.json","events_json":"https://pith.science/api/pith-number/C3DFPT4KE55HURBWS563RBAYTM/events.json","paper":"https://pith.science/paper/C3DFPT4K"},"agent_actions":{"view_html":"https://pith.science/pith/C3DFPT4KE55HURBWS563RBAYTM","download_json":"https://pith.science/pith/C3DFPT4KE55HURBWS563RBAYTM.json","view_paper":"https://pith.science/paper/C3DFPT4K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.02653&json=true","fetch_graph":"https://pith.science/api/pith-number/C3DFPT4KE55HURBWS563RBAYTM/graph.json","fetch_events":"https://pith.science/api/pith-number/C3DFPT4KE55HURBWS563RBAYTM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C3DFPT4KE55HURBWS563RBAYTM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C3DFPT4KE55HURBWS563RBAYTM/action/storage_attestation","attest_author":"https://pith.science/pith/C3DFPT4KE55HURBWS563RBAYTM/action/author_attestation","sign_citation":"https://pith.science/pith/C3DFPT4KE55HURBWS563RBAYTM/action/citation_signature","submit_replication":"https://pith.science/pith/C3DFPT4KE55HURBWS563RBAYTM/action/replication_record"}},"created_at":"2026-05-18T02:19:06.983441+00:00","updated_at":"2026-05-18T02:19:06.983441+00:00"}