{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:L7S2CTDZ75QVHBCGJQJUE7JGVZ","short_pith_number":"pith:L7S2CTDZ","canonical_record":{"source":{"id":"1710.03963","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-11T08:43:06Z","cross_cats_sorted":[],"title_canon_sha256":"663357434afe971373ef8e45bedd1868cf8fef283987df0c4a9f41e64bb0d9dd","abstract_canon_sha256":"102e86e387d453a136f7d70a01d7532321f6709eb632eca66e0e76d63643bfbe"},"schema_version":"1.0"},"canonical_sha256":"5fe5a14c79ff615384464c13427d26ae6269ba8251544b486e7ea2f4c6c4d375","source":{"kind":"arxiv","id":"1710.03963","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.03963","created_at":"2026-05-18T00:33:05Z"},{"alias_kind":"arxiv_version","alias_value":"1710.03963v1","created_at":"2026-05-18T00:33:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.03963","created_at":"2026-05-18T00:33:05Z"},{"alias_kind":"pith_short_12","alias_value":"L7S2CTDZ75QV","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L7S2CTDZ75QVHBCG","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L7S2CTDZ","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:L7S2CTDZ75QVHBCGJQJUE7JGVZ","target":"record","payload":{"canonical_record":{"source":{"id":"1710.03963","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-11T08:43:06Z","cross_cats_sorted":[],"title_canon_sha256":"663357434afe971373ef8e45bedd1868cf8fef283987df0c4a9f41e64bb0d9dd","abstract_canon_sha256":"102e86e387d453a136f7d70a01d7532321f6709eb632eca66e0e76d63643bfbe"},"schema_version":"1.0"},"canonical_sha256":"5fe5a14c79ff615384464c13427d26ae6269ba8251544b486e7ea2f4c6c4d375","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:05.458143Z","signature_b64":"pLUVmQWijrtFWmkjBstm6fZq/T2PELTchnXkf33IevB0YIX5zXhd2MVMQ1MRppOYVIsAqtJwsF0mg77GfasUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fe5a14c79ff615384464c13427d26ae6269ba8251544b486e7ea2f4c6c4d375","last_reissued_at":"2026-05-18T00:33:05.457525Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:05.457525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.03963","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M8uFLM4dY++P9dhdfYvrqdCbnML3AirPIqkELmhn0yehAVat79uBT5r5dYRTEVWk39WFSg1EP3BGhMPw6H7nDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:13:46.527956Z"},"content_sha256":"df3a3000abd89e108c55a3c52ac6ed640035569b02cc1cd79b5c45de5ebd6461","schema_version":"1.0","event_id":"sha256:df3a3000abd89e108c55a3c52ac6ed640035569b02cc1cd79b5c45de5ebd6461"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:L7S2CTDZ75QVHBCGJQJUE7JGVZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Infinitesimal and local rigidity of mappings of CR manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Bernhard Lamel, Giuseppe Della Sala, Michael Reiter","submitted_at":"2017-10-11T08:43:06Z","abstract_excerpt":"A holomorphic mapping $H$ between two real-analytic CR manifolds $M$ and $M'$ is said to be locally rigid if any other holomorphic map $F\\colon M \\to M'$ which is close enough to $H$ is obtained by composing $H$ with suitable automorphisms of $M$ and $M'$. With the aim of reducing the local rigidity problem to a linear one, we provide sufficient infinitesimal conditions. Furthermore we study some topological properties of the action of the automorphism group on the space of nondegenerate mappings from $M$ to $M'$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03963","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WAgrIokotb2Q35pP4TMCrz62bolZoOrj4z3Az2LqxrYdTUxnO8GBQGVYnXTC+0leQhe9NIGoCBLXn541/CSHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:13:46.528297Z"},"content_sha256":"14f37ca43ea723bb35a68fc062d8443595e1430d064887d30b2240d97cf0bc31","schema_version":"1.0","event_id":"sha256:14f37ca43ea723bb35a68fc062d8443595e1430d064887d30b2240d97cf0bc31"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L7S2CTDZ75QVHBCGJQJUE7JGVZ/bundle.json","state_url":"https://pith.science/pith/L7S2CTDZ75QVHBCGJQJUE7JGVZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L7S2CTDZ75QVHBCGJQJUE7JGVZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T14:13:46Z","links":{"resolver":"https://pith.science/pith/L7S2CTDZ75QVHBCGJQJUE7JGVZ","bundle":"https://pith.science/pith/L7S2CTDZ75QVHBCGJQJUE7JGVZ/bundle.json","state":"https://pith.science/pith/L7S2CTDZ75QVHBCGJQJUE7JGVZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L7S2CTDZ75QVHBCGJQJUE7JGVZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L7S2CTDZ75QVHBCGJQJUE7JGVZ","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":"102e86e387d453a136f7d70a01d7532321f6709eb632eca66e0e76d63643bfbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-11T08:43:06Z","title_canon_sha256":"663357434afe971373ef8e45bedd1868cf8fef283987df0c4a9f41e64bb0d9dd"},"schema_version":"1.0","source":{"id":"1710.03963","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.03963","created_at":"2026-05-18T00:33:05Z"},{"alias_kind":"arxiv_version","alias_value":"1710.03963v1","created_at":"2026-05-18T00:33:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.03963","created_at":"2026-05-18T00:33:05Z"},{"alias_kind":"pith_short_12","alias_value":"L7S2CTDZ75QV","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L7S2CTDZ75QVHBCG","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L7S2CTDZ","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:14f37ca43ea723bb35a68fc062d8443595e1430d064887d30b2240d97cf0bc31","target":"graph","created_at":"2026-05-18T00:33:05Z","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":"A holomorphic mapping $H$ between two real-analytic CR manifolds $M$ and $M'$ is said to be locally rigid if any other holomorphic map $F\\colon M \\to M'$ which is close enough to $H$ is obtained by composing $H$ with suitable automorphisms of $M$ and $M'$. With the aim of reducing the local rigidity problem to a linear one, we provide sufficient infinitesimal conditions. Furthermore we study some topological properties of the action of the automorphism group on the space of nondegenerate mappings from $M$ to $M'$.","authors_text":"Bernhard Lamel, Giuseppe Della Sala, Michael Reiter","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-11T08:43:06Z","title":"Infinitesimal and local rigidity of mappings of CR manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03963","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:df3a3000abd89e108c55a3c52ac6ed640035569b02cc1cd79b5c45de5ebd6461","target":"record","created_at":"2026-05-18T00:33:05Z","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":"102e86e387d453a136f7d70a01d7532321f6709eb632eca66e0e76d63643bfbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-11T08:43:06Z","title_canon_sha256":"663357434afe971373ef8e45bedd1868cf8fef283987df0c4a9f41e64bb0d9dd"},"schema_version":"1.0","source":{"id":"1710.03963","kind":"arxiv","version":1}},"canonical_sha256":"5fe5a14c79ff615384464c13427d26ae6269ba8251544b486e7ea2f4c6c4d375","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fe5a14c79ff615384464c13427d26ae6269ba8251544b486e7ea2f4c6c4d375","first_computed_at":"2026-05-18T00:33:05.457525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:05.457525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pLUVmQWijrtFWmkjBstm6fZq/T2PELTchnXkf33IevB0YIX5zXhd2MVMQ1MRppOYVIsAqtJwsF0mg77GfasUAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:05.458143Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.03963","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df3a3000abd89e108c55a3c52ac6ed640035569b02cc1cd79b5c45de5ebd6461","sha256:14f37ca43ea723bb35a68fc062d8443595e1430d064887d30b2240d97cf0bc31"],"state_sha256":"cc40c144845e9b0b40b234bbbcff9b741dcfab71d1eefa66d11679f4e9a03e5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2IVKCBo1t0H6Q6nmS8B3Vd7wf3ALNsmRa42hKVdIIKARu28s1Ew3v1HTHTJweEMYoBciwXSucvGQXqqHjQY5Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T14:13:46.530214Z","bundle_sha256":"9dc291d24871af8d253f0569fa0348d2cd66fe02d85b3e799548cf78664a4b94"}}