{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3HMP5ET7QCEZDQNHT4RNP4ZY63","short_pith_number":"pith:3HMP5ET7","canonical_record":{"source":{"id":"1401.3561","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-15T12:31:22Z","cross_cats_sorted":[],"title_canon_sha256":"5324bc8ae479123fedf9754f8d586057bb369829f0dd6a6aba7289fad959c6aa","abstract_canon_sha256":"dd99a2acda2392739b9844a4c6ca0fc3a9a92f540bc289c0696703e7b9163745"},"schema_version":"1.0"},"canonical_sha256":"d9d8fe927f808991c1a79f22d7f338f6f692dff90787ab723e2f98af7b7ce035","source":{"kind":"arxiv","id":"1401.3561","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3561","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3561v2","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3561","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"3HMP5ET7QCEZ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3HMP5ET7QCEZDQNH","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3HMP5ET7","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3HMP5ET7QCEZDQNHT4RNP4ZY63","target":"record","payload":{"canonical_record":{"source":{"id":"1401.3561","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-15T12:31:22Z","cross_cats_sorted":[],"title_canon_sha256":"5324bc8ae479123fedf9754f8d586057bb369829f0dd6a6aba7289fad959c6aa","abstract_canon_sha256":"dd99a2acda2392739b9844a4c6ca0fc3a9a92f540bc289c0696703e7b9163745"},"schema_version":"1.0"},"canonical_sha256":"d9d8fe927f808991c1a79f22d7f338f6f692dff90787ab723e2f98af7b7ce035","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:10.748622Z","signature_b64":"6bodQ0PpDIbPaDnKDlfjgQX45weS/Byw+XKtu4IEjLzCAlH2AD3O7pBlbgFGqetkRpn1fhlvBVIuuNlgzb5zCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9d8fe927f808991c1a79f22d7f338f6f692dff90787ab723e2f98af7b7ce035","last_reissued_at":"2026-05-18T00:34:10.747878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:10.747878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.3561","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DAfJgaSEsJrGR4+EpxbDUx6HFksJs7bGoHO0gaERVyIhvS3FaA+HcPxdhIDiGR3/okd1M6W4nf6fwaXxvtMQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:54:52.908837Z"},"content_sha256":"67a636b7b2ebaeed7c51867719bf449ed28479323a3e439c04dea7c82a1f8b3c","schema_version":"1.0","event_id":"sha256:67a636b7b2ebaeed7c51867719bf449ed28479323a3e439c04dea7c82a1f8b3c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3HMP5ET7QCEZDQNHT4RNP4ZY63","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CR-continuation of arc-analytic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Janusz Adamus","submitted_at":"2014-01-15T12:31:22Z","abstract_excerpt":"Given a set E in a complex space and a point p in E, there is a unique smallest complex-analytic germ containing the germ of E at p, called the holomorphic closure of E at p. We study the holomorphic closure of semialgebraic arc-symmetric sets. Our main application concerns CR-continuation of semialgebraic arc-analytic mappings: A mapping f on a real-analytic CR manifold M which is semialgebraic arc-analytic and CR on a non-empty open subset of M is CR on the whole M."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3561","kind":"arxiv","version":2},"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":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"96LQhJI/Wqqh/qfWuKbSRkRhZgjYEv3grS5t7uguY6Av56/73NuC/xLtxNPrUu/RP7gDWkIiAs0N3jjDFNgSBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:54:52.909512Z"},"content_sha256":"aa02304c2bf1a26eaead0ea758200ebe46246b40956a613ffd7a7942385dcdee","schema_version":"1.0","event_id":"sha256:aa02304c2bf1a26eaead0ea758200ebe46246b40956a613ffd7a7942385dcdee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3HMP5ET7QCEZDQNHT4RNP4ZY63/bundle.json","state_url":"https://pith.science/pith/3HMP5ET7QCEZDQNHT4RNP4ZY63/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3HMP5ET7QCEZDQNHT4RNP4ZY63/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":"2026-05-27T18:54:52Z","links":{"resolver":"https://pith.science/pith/3HMP5ET7QCEZDQNHT4RNP4ZY63","bundle":"https://pith.science/pith/3HMP5ET7QCEZDQNHT4RNP4ZY63/bundle.json","state":"https://pith.science/pith/3HMP5ET7QCEZDQNHT4RNP4ZY63/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3HMP5ET7QCEZDQNHT4RNP4ZY63/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3HMP5ET7QCEZDQNHT4RNP4ZY63","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":"dd99a2acda2392739b9844a4c6ca0fc3a9a92f540bc289c0696703e7b9163745","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-15T12:31:22Z","title_canon_sha256":"5324bc8ae479123fedf9754f8d586057bb369829f0dd6a6aba7289fad959c6aa"},"schema_version":"1.0","source":{"id":"1401.3561","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3561","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3561v2","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3561","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"3HMP5ET7QCEZ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3HMP5ET7QCEZDQNH","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3HMP5ET7","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:aa02304c2bf1a26eaead0ea758200ebe46246b40956a613ffd7a7942385dcdee","target":"graph","created_at":"2026-05-18T00:34:10Z","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":"Given a set E in a complex space and a point p in E, there is a unique smallest complex-analytic germ containing the germ of E at p, called the holomorphic closure of E at p. We study the holomorphic closure of semialgebraic arc-symmetric sets. Our main application concerns CR-continuation of semialgebraic arc-analytic mappings: A mapping f on a real-analytic CR manifold M which is semialgebraic arc-analytic and CR on a non-empty open subset of M is CR on the whole M.","authors_text":"Janusz Adamus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-15T12:31:22Z","title":"CR-continuation of arc-analytic maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3561","kind":"arxiv","version":2},"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":"sha256:67a636b7b2ebaeed7c51867719bf449ed28479323a3e439c04dea7c82a1f8b3c","target":"record","created_at":"2026-05-18T00:34:10Z","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":"dd99a2acda2392739b9844a4c6ca0fc3a9a92f540bc289c0696703e7b9163745","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-15T12:31:22Z","title_canon_sha256":"5324bc8ae479123fedf9754f8d586057bb369829f0dd6a6aba7289fad959c6aa"},"schema_version":"1.0","source":{"id":"1401.3561","kind":"arxiv","version":2}},"canonical_sha256":"d9d8fe927f808991c1a79f22d7f338f6f692dff90787ab723e2f98af7b7ce035","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9d8fe927f808991c1a79f22d7f338f6f692dff90787ab723e2f98af7b7ce035","first_computed_at":"2026-05-18T00:34:10.747878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:10.747878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6bodQ0PpDIbPaDnKDlfjgQX45weS/Byw+XKtu4IEjLzCAlH2AD3O7pBlbgFGqetkRpn1fhlvBVIuuNlgzb5zCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:10.748622Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3561","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67a636b7b2ebaeed7c51867719bf449ed28479323a3e439c04dea7c82a1f8b3c","sha256:aa02304c2bf1a26eaead0ea758200ebe46246b40956a613ffd7a7942385dcdee"],"state_sha256":"1534a8e78fbaffdf57661ffe6a5a2dc79fe63f5c1b34f5f16f8bc2343cfb4bf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h4Vcz+ugKzDQ9eRoN8MhYoKVRwHQt9JDe66n8pqCWC1ENVtL3L4Rd5uLuF9O70s6zn/aYZd0FMXl5JhifpcVDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:54:52.912913Z","bundle_sha256":"234c3c2ebad58559e4321f39fb0f528adce50a4444e83164fed01b36518f66bd"}}