{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:4CBLB6U5WV2N57LPNQ36OZT6TO","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":"c292d3e292c0a7e23be3b70c2e1441708d3a48a0a7492c3567a6f1406e67d677","cross_cats_sorted":["math.AC"],"license":"","primary_cat":"math.AG","submitted_at":"2007-11-25T11:44:37Z","title_canon_sha256":"52e4c3505b14c9d85c900b42e5502d55967f83a0c186209b72078517a0f4dec5"},"schema_version":"1.0","source":{"id":"0711.3894","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.3894","created_at":"2026-05-18T00:35:36Z"},{"alias_kind":"arxiv_version","alias_value":"0711.3894v1","created_at":"2026-05-18T00:35:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.3894","created_at":"2026-05-18T00:35:36Z"},{"alias_kind":"pith_short_12","alias_value":"4CBLB6U5WV2N","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"4CBLB6U5WV2N57LP","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"4CBLB6U5","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:c9ed683912b1b4d198c3480870867bf68e47e230143ba444281dc17c1985a850","target":"graph","created_at":"2026-05-18T00:35:36Z","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 non-zero constant Jacobian polynomial map $F=(P,Q):\\mathbb{C}^2 \\longrightarrow \\mathbb{C}^2$ has a polynomial inverse if the component $P$ is a simple polynomial, i.e. if, when $P$ extended to a morphism $p:X\\longrightarrow \\mathbb{P}^1$ of a compactification $X$ of $\\mathbb{C}^2$, the restriction of $p$ to each irreducible component $C$ of the compactification divisor $D = X-\\mathbb{C}^2$ is either degree 0 or 1.","authors_text":"Nguyen van Chau","cross_cats":["math.AC"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2007-11-25T11:44:37Z","title":"Plane Jacobian conjecture for simple polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.3894","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":"sha256:817a6499d341393ba99f520ea9a743b2fc3b4ad168e5833c1c7dc1ea43d444d3","target":"record","created_at":"2026-05-18T00:35:36Z","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":"c292d3e292c0a7e23be3b70c2e1441708d3a48a0a7492c3567a6f1406e67d677","cross_cats_sorted":["math.AC"],"license":"","primary_cat":"math.AG","submitted_at":"2007-11-25T11:44:37Z","title_canon_sha256":"52e4c3505b14c9d85c900b42e5502d55967f83a0c186209b72078517a0f4dec5"},"schema_version":"1.0","source":{"id":"0711.3894","kind":"arxiv","version":1}},"canonical_sha256":"e082b0fa9db574defd6f6c37e7667e9bab1100c39d4422b1b76b05b9b98c81e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e082b0fa9db574defd6f6c37e7667e9bab1100c39d4422b1b76b05b9b98c81e2","first_computed_at":"2026-05-18T00:35:36.554855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:36.554855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qrUx+PjwkM6m06An/4o+ih1CzYTrtZsoX/yhAVn8TcggcvqBb/k73N8F62jzsrBqbpJTtwD8dSfQS00EaG9/Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:36.555424Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.3894","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:817a6499d341393ba99f520ea9a743b2fc3b4ad168e5833c1c7dc1ea43d444d3","sha256:c9ed683912b1b4d198c3480870867bf68e47e230143ba444281dc17c1985a850"],"state_sha256":"791b51f9a37073b6bb5c6716221c9fc26e77b505349461f7da1bd79c0241c0b5"}