{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:BYF64BP6SJ2PVN7SMJTDDXR3SI","short_pith_number":"pith:BYF64BP6","canonical_record":{"source":{"id":"math/9604201","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"1996-04-01T19:33:18Z","cross_cats_sorted":[],"title_canon_sha256":"ad62788cf6b24b6ea81722af3fb010db20a884170190acf6a8356176fcaf4ac8","abstract_canon_sha256":"f003ad1f64f6ed658cb50547a79a744920b5bc212051b0fe48f63d381779100b"},"schema_version":"1.0"},"canonical_sha256":"0e0bee05fe9274fab7f2626631de3b922fac7a91cc1e46a0778d27b08ed04858","source":{"kind":"arxiv","id":"math/9604201","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9604201","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9604201v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9604201","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"BYF64BP6SJ2P","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"BYF64BP6SJ2PVN7S","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"BYF64BP6","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:BYF64BP6SJ2PVN7SMJTDDXR3SI","target":"record","payload":{"canonical_record":{"source":{"id":"math/9604201","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"1996-04-01T19:33:18Z","cross_cats_sorted":[],"title_canon_sha256":"ad62788cf6b24b6ea81722af3fb010db20a884170190acf6a8356176fcaf4ac8","abstract_canon_sha256":"f003ad1f64f6ed658cb50547a79a744920b5bc212051b0fe48f63d381779100b"},"schema_version":"1.0"},"canonical_sha256":"0e0bee05fe9274fab7f2626631de3b922fac7a91cc1e46a0778d27b08ed04858","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:47.695651Z","signature_b64":"PvH6keZ2eee4AVjV9x4T1VEbLxFGsmw2rcriB2G94LbzHlyaZKujEIpca+uLUE4xi3TorOngXrmg63VE22GCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e0bee05fe9274fab7f2626631de3b922fac7a91cc1e46a0778d27b08ed04858","last_reissued_at":"2026-05-18T01:05:47.695048Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:47.695048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9604201","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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eK/vlfUaFd8aKvqvAiFrnOvWeaIt0fqzALNuJlyVAmdJuB3IbIlHMTnetQcnwUvhfqG1mNQ2s4pN56q7k3s4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T09:22:56.351942Z"},"content_sha256":"da891bd2a9d1e6f3ecac1a35a552c775572b21e07d28c50b20249168b95024f1","schema_version":"1.0","event_id":"sha256:da891bd2a9d1e6f3ecac1a35a552c775572b21e07d28c50b20249168b95024f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:BYF64BP6SJ2PVN7SMJTDDXR3SI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the defect of an analytic disc","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Patrizia Rossi","submitted_at":"1996-04-01T19:33:18Z","abstract_excerpt":"Although the concept of defect of an analytic disc attached to a generic manifold of $\\C^{n}$ seems to play a merely technical role, it turns out to be a rather deep and fruitful notion for the extendability of CR functions defined on the manifold.\n  In this paper we give a new geometric description of defect, drawing attention to the behaviour of the interior points of the disc by infinitesimal perturbations. For hypersurfaces a stronger result holds because these perturbations describe a complex vector space of $\\C^{n}$.\n  For a big analytic disc the defect does not need to be smaller than t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9604201","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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R8P9vx35aJfFbsM6uIhtMQ4k4hFcgAaabL3D2IkDTrcXnvMBiQNNKBNBLNEnU0+7qx+CfGQ8DMZvKGHdjqznDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T09:22:56.352287Z"},"content_sha256":"19ed5885c451f2f00c622b6f0fbcf9ae8e3c3d92b019b1ae965669a5c8abb1a5","schema_version":"1.0","event_id":"sha256:19ed5885c451f2f00c622b6f0fbcf9ae8e3c3d92b019b1ae965669a5c8abb1a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BYF64BP6SJ2PVN7SMJTDDXR3SI/bundle.json","state_url":"https://pith.science/pith/BYF64BP6SJ2PVN7SMJTDDXR3SI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BYF64BP6SJ2PVN7SMJTDDXR3SI/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":"2026-06-11T09:22:56Z","links":{"resolver":"https://pith.science/pith/BYF64BP6SJ2PVN7SMJTDDXR3SI","bundle":"https://pith.science/pith/BYF64BP6SJ2PVN7SMJTDDXR3SI/bundle.json","state":"https://pith.science/pith/BYF64BP6SJ2PVN7SMJTDDXR3SI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BYF64BP6SJ2PVN7SMJTDDXR3SI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:BYF64BP6SJ2PVN7SMJTDDXR3SI","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":"f003ad1f64f6ed658cb50547a79a744920b5bc212051b0fe48f63d381779100b","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"1996-04-01T19:33:18Z","title_canon_sha256":"ad62788cf6b24b6ea81722af3fb010db20a884170190acf6a8356176fcaf4ac8"},"schema_version":"1.0","source":{"id":"math/9604201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9604201","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9604201v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9604201","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"BYF64BP6SJ2P","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"BYF64BP6SJ2PVN7S","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"BYF64BP6","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:19ed5885c451f2f00c622b6f0fbcf9ae8e3c3d92b019b1ae965669a5c8abb1a5","target":"graph","created_at":"2026-05-18T01:05:47Z","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":"Although the concept of defect of an analytic disc attached to a generic manifold of $\\C^{n}$ seems to play a merely technical role, it turns out to be a rather deep and fruitful notion for the extendability of CR functions defined on the manifold.\n  In this paper we give a new geometric description of defect, drawing attention to the behaviour of the interior points of the disc by infinitesimal perturbations. For hypersurfaces a stronger result holds because these perturbations describe a complex vector space of $\\C^{n}$.\n  For a big analytic disc the defect does not need to be smaller than t","authors_text":"Patrizia Rossi","cross_cats":[],"headline":"","license":"","primary_cat":"math.CV","submitted_at":"1996-04-01T19:33:18Z","title":"On the defect of an analytic disc"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9604201","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:da891bd2a9d1e6f3ecac1a35a552c775572b21e07d28c50b20249168b95024f1","target":"record","created_at":"2026-05-18T01:05:47Z","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":"f003ad1f64f6ed658cb50547a79a744920b5bc212051b0fe48f63d381779100b","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"1996-04-01T19:33:18Z","title_canon_sha256":"ad62788cf6b24b6ea81722af3fb010db20a884170190acf6a8356176fcaf4ac8"},"schema_version":"1.0","source":{"id":"math/9604201","kind":"arxiv","version":1}},"canonical_sha256":"0e0bee05fe9274fab7f2626631de3b922fac7a91cc1e46a0778d27b08ed04858","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e0bee05fe9274fab7f2626631de3b922fac7a91cc1e46a0778d27b08ed04858","first_computed_at":"2026-05-18T01:05:47.695048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:47.695048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PvH6keZ2eee4AVjV9x4T1VEbLxFGsmw2rcriB2G94LbzHlyaZKujEIpca+uLUE4xi3TorOngXrmg63VE22GCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:47.695651Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9604201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da891bd2a9d1e6f3ecac1a35a552c775572b21e07d28c50b20249168b95024f1","sha256:19ed5885c451f2f00c622b6f0fbcf9ae8e3c3d92b019b1ae965669a5c8abb1a5"],"state_sha256":"a15ad5e0692d63082b34cea4ef76cdcc25c3aa577924ba33c8499eceb775014f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RrwG2UkUDsABtCRe1MpAaX5IFkrSFtO4rjiOIELxA37w4WRc5QbCQx/y5anr/zRQqwr6zBtYDmHPgfNvEKZRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T09:22:56.354210Z","bundle_sha256":"1824822fca5c1448c6b11c1e924a8371adac563193d331325f0fd657aa232789"}}