{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:LWROS7WMVQNN7WFVCHWFAUDVPU","short_pith_number":"pith:LWROS7WM","canonical_record":{"source":{"id":"1904.06888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-04-15T07:44:25Z","cross_cats_sorted":[],"title_canon_sha256":"2104892ec36b7834d8d9cd5dbbc69240baca908ca03e8a27506068262e2c03e9","abstract_canon_sha256":"79e95f43fa0b016f8362016d365f9750d439c1351a238a496dbe59c4215a0fbf"},"schema_version":"1.0"},"canonical_sha256":"5da2e97eccac1adfd8b511ec5050757d335dd4450e8204402b83e3e2f21e18a0","source":{"kind":"arxiv","id":"1904.06888","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.06888","created_at":"2026-05-17T23:48:35Z"},{"alias_kind":"arxiv_version","alias_value":"1904.06888v1","created_at":"2026-05-17T23:48:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.06888","created_at":"2026-05-17T23:48:35Z"},{"alias_kind":"pith_short_12","alias_value":"LWROS7WMVQNN","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LWROS7WMVQNN7WFV","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LWROS7WM","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:LWROS7WMVQNN7WFVCHWFAUDVPU","target":"record","payload":{"canonical_record":{"source":{"id":"1904.06888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-04-15T07:44:25Z","cross_cats_sorted":[],"title_canon_sha256":"2104892ec36b7834d8d9cd5dbbc69240baca908ca03e8a27506068262e2c03e9","abstract_canon_sha256":"79e95f43fa0b016f8362016d365f9750d439c1351a238a496dbe59c4215a0fbf"},"schema_version":"1.0"},"canonical_sha256":"5da2e97eccac1adfd8b511ec5050757d335dd4450e8204402b83e3e2f21e18a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:35.878347Z","signature_b64":"wbZFWrTvNlcYfDnK/4N2JhWANIvwaDf3L4FLIkkBZNOQ9YJqfl2CLFR7ih0NHbZ7BnimGIVDYBHza2zWwQfuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5da2e97eccac1adfd8b511ec5050757d335dd4450e8204402b83e3e2f21e18a0","last_reissued_at":"2026-05-17T23:48:35.877665Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:35.877665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.06888","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":"2026-05-17T23:48:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NbwIK04sEpxp59CIMJNp+LYUMJjJTR92+r1ZI9UyojkznYvzIvUATgS2hPa8n7KS/lVLf3UjY28h5lbl78oSAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:11:28.454817Z"},"content_sha256":"c3c7a51f67f1d0434481c90584f579f629feeaf567e7b31267607ff15e912e64","schema_version":"1.0","event_id":"sha256:c3c7a51f67f1d0434481c90584f579f629feeaf567e7b31267607ff15e912e64"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:LWROS7WMVQNN7WFVCHWFAUDVPU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformation of singular foliations, 1: Local deformation cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Nguyen Tien Zung, Philippe Monnier","submitted_at":"2019-04-15T07:44:25Z","abstract_excerpt":"In this paper we introduce the notion of deformation cohomology for singular foliations and related objects (namely integrable differential forms and Nambu structures), and study it in the local case, i.e., in the neighborhood of a point."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.06888","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":"2026-05-17T23:48:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vqJbxLN7jAqazZUM0+1DER19xhvOuNiwWwmniozLvLtdbdp76QoYsw8i5TerFAI5reNl1cFsM7Hgx5XmyRZ+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:11:28.455159Z"},"content_sha256":"b04226e764152f2f4fd3cbfd83b48b6c826fef84301bfcc0f841205e9edcb05d","schema_version":"1.0","event_id":"sha256:b04226e764152f2f4fd3cbfd83b48b6c826fef84301bfcc0f841205e9edcb05d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LWROS7WMVQNN7WFVCHWFAUDVPU/bundle.json","state_url":"https://pith.science/pith/LWROS7WMVQNN7WFVCHWFAUDVPU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LWROS7WMVQNN7WFVCHWFAUDVPU/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":"2026-05-30T04:11:28Z","links":{"resolver":"https://pith.science/pith/LWROS7WMVQNN7WFVCHWFAUDVPU","bundle":"https://pith.science/pith/LWROS7WMVQNN7WFVCHWFAUDVPU/bundle.json","state":"https://pith.science/pith/LWROS7WMVQNN7WFVCHWFAUDVPU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LWROS7WMVQNN7WFVCHWFAUDVPU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LWROS7WMVQNN7WFVCHWFAUDVPU","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":"79e95f43fa0b016f8362016d365f9750d439c1351a238a496dbe59c4215a0fbf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-04-15T07:44:25Z","title_canon_sha256":"2104892ec36b7834d8d9cd5dbbc69240baca908ca03e8a27506068262e2c03e9"},"schema_version":"1.0","source":{"id":"1904.06888","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.06888","created_at":"2026-05-17T23:48:35Z"},{"alias_kind":"arxiv_version","alias_value":"1904.06888v1","created_at":"2026-05-17T23:48:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.06888","created_at":"2026-05-17T23:48:35Z"},{"alias_kind":"pith_short_12","alias_value":"LWROS7WMVQNN","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LWROS7WMVQNN7WFV","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LWROS7WM","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:b04226e764152f2f4fd3cbfd83b48b6c826fef84301bfcc0f841205e9edcb05d","target":"graph","created_at":"2026-05-17T23:48:35Z","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":"In this paper we introduce the notion of deformation cohomology for singular foliations and related objects (namely integrable differential forms and Nambu structures), and study it in the local case, i.e., in the neighborhood of a point.","authors_text":"Nguyen Tien Zung, Philippe Monnier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-04-15T07:44:25Z","title":"Deformation of singular foliations, 1: Local deformation cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.06888","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:c3c7a51f67f1d0434481c90584f579f629feeaf567e7b31267607ff15e912e64","target":"record","created_at":"2026-05-17T23:48:35Z","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":"79e95f43fa0b016f8362016d365f9750d439c1351a238a496dbe59c4215a0fbf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-04-15T07:44:25Z","title_canon_sha256":"2104892ec36b7834d8d9cd5dbbc69240baca908ca03e8a27506068262e2c03e9"},"schema_version":"1.0","source":{"id":"1904.06888","kind":"arxiv","version":1}},"canonical_sha256":"5da2e97eccac1adfd8b511ec5050757d335dd4450e8204402b83e3e2f21e18a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5da2e97eccac1adfd8b511ec5050757d335dd4450e8204402b83e3e2f21e18a0","first_computed_at":"2026-05-17T23:48:35.877665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:35.877665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wbZFWrTvNlcYfDnK/4N2JhWANIvwaDf3L4FLIkkBZNOQ9YJqfl2CLFR7ih0NHbZ7BnimGIVDYBHza2zWwQfuAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:35.878347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.06888","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3c7a51f67f1d0434481c90584f579f629feeaf567e7b31267607ff15e912e64","sha256:b04226e764152f2f4fd3cbfd83b48b6c826fef84301bfcc0f841205e9edcb05d"],"state_sha256":"25b29fd0b44f0bc3218c1ef15344ecb0e2faf504c965a997049a4efa415896b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xBClHoWNLavZ9H135BMKqOdAVL6hp7G06nsD53syL/Om1R9AwmclMGudAL3ngRM6WyyT3B9aculjB5xhs+2YDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T04:11:28.457217Z","bundle_sha256":"fa13d9824209853d55196c91612b7ae1ee9dddbf6c8aaed3543c1b44569990d4"}}