{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WYPR77WLXTGO4ATEJNLX2BYOSD","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":"84cc2932827f16066205db3b9f5659118f3222a151901375edf452545ecab70f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-08T08:04:04Z","title_canon_sha256":"2dc8e04b185e1507aaccaa8558114aa16a9f2878d73480dbe1042e192618f470"},"schema_version":"1.0","source":{"id":"1802.02735","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.02735","created_at":"2026-05-18T00:24:03Z"},{"alias_kind":"arxiv_version","alias_value":"1802.02735v1","created_at":"2026-05-18T00:24:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02735","created_at":"2026-05-18T00:24:03Z"},{"alias_kind":"pith_short_12","alias_value":"WYPR77WLXTGO","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WYPR77WLXTGO4ATE","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WYPR77WL","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:0a02f67cda22a13cf0326ce9a8891b7e1abcc8c3723b1508742bb9fd4d0f681a","target":"graph","created_at":"2026-05-18T00:24:03Z","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":"We give a presentation of the plane Cremona group over an algebraically closed field with respect to the generators given by the Theorem of Noether and Castelnuovo. This presentation is particularly simple and can be used for explicit calculations.","authors_text":"Christian Urech, Susanna Zimmermann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-08T08:04:04Z","title":"A new presentation of the plane Cremona group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02735","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":"sha256:08ca66a13263f08b99b274adf4d97dc1481965b0ac98a8e67d9de0d3c107c03b","target":"record","created_at":"2026-05-18T00:24:03Z","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":"84cc2932827f16066205db3b9f5659118f3222a151901375edf452545ecab70f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-08T08:04:04Z","title_canon_sha256":"2dc8e04b185e1507aaccaa8558114aa16a9f2878d73480dbe1042e192618f470"},"schema_version":"1.0","source":{"id":"1802.02735","kind":"arxiv","version":1}},"canonical_sha256":"b61f1ffecbbcccee02644b577d070e90e3f03740c76d0a9cd1e43da49cceedd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b61f1ffecbbcccee02644b577d070e90e3f03740c76d0a9cd1e43da49cceedd9","first_computed_at":"2026-05-18T00:24:03.220404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:03.220404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sgfqu2RlDMQwzRP0nwO0430AftyUfc2nuLPlycC/bdq7rkpIGMtlQQ2xeQ6YGg9ZzrZqGpL2rBwTKUKXdvD0Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:03.221103Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.02735","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08ca66a13263f08b99b274adf4d97dc1481965b0ac98a8e67d9de0d3c107c03b","sha256:0a02f67cda22a13cf0326ce9a8891b7e1abcc8c3723b1508742bb9fd4d0f681a"],"state_sha256":"00e579f5edc962092527d13816433064040f0007228aa89bc6391d2193082fb5"}