{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UIVPADG7QWGYFNA2YYVHJ6ZMBD","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":"1972fe60e2b5a9e1131daa0ac78a6ee12fe3131e96802706d6509159cbb4987d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-07T20:35:16Z","title_canon_sha256":"d4eb15ac8defdf5491bc7a4a79805800c69751c48d828c7737ddb0117fcc0e52"},"schema_version":"1.0","source":{"id":"1908.03563","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03563","created_at":"2026-07-04T23:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03563v1","created_at":"2026-07-04T23:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03563","created_at":"2026-07-04T23:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"UIVPADG7QWGY","created_at":"2026-07-04T23:52:40Z"},{"alias_kind":"pith_short_16","alias_value":"UIVPADG7QWGYFNA2","created_at":"2026-07-04T23:52:40Z"},{"alias_kind":"pith_short_8","alias_value":"UIVPADG7","created_at":"2026-07-04T23:52:40Z"}],"graph_snapshots":[{"event_id":"sha256:68f040021f76a2662ca8a47e2ff231bcaacb84158754d4a0747daaf0aa4d2ddb","target":"graph","created_at":"2026-07-04T23:52:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.03563/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By an additive action on an algebraic variety $X$ we mean a regular effective action $\\mathbb{G}_a^n\\times X\\to X$ with an open orbit of the commutative unipotent group $\\mathbb{G}_a^n$. In this paper, we give a classification of additive actions on complete toric surfaces.","authors_text":"Sergey Dzhunusov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-07T20:35:16Z","title":"Additive actions on complete toric surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03563","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":"sha256:4955c6b8263924efa18e8176bd690ec6a840c6e87d6df137a19e87ac4ddcdbea","target":"record","created_at":"2026-07-04T23:52:40Z","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":"1972fe60e2b5a9e1131daa0ac78a6ee12fe3131e96802706d6509159cbb4987d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-07T20:35:16Z","title_canon_sha256":"d4eb15ac8defdf5491bc7a4a79805800c69751c48d828c7737ddb0117fcc0e52"},"schema_version":"1.0","source":{"id":"1908.03563","kind":"arxiv","version":1}},"canonical_sha256":"a22af00cdf858d82b41ac62a74fb2c08f3c1c2748061637527caed49c256f818","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a22af00cdf858d82b41ac62a74fb2c08f3c1c2748061637527caed49c256f818","first_computed_at":"2026-07-04T23:52:40.920434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:52:40.920434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/NkK0Z8K2jzzDZoBzza5J073jnhwqDaIPV+BjqbNN704yqpTy9irQNkWZVvTh6Aoax2sJ5FAj4HBpXeQiTGzCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:52:40.920868Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.03563","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4955c6b8263924efa18e8176bd690ec6a840c6e87d6df137a19e87ac4ddcdbea","sha256:68f040021f76a2662ca8a47e2ff231bcaacb84158754d4a0747daaf0aa4d2ddb"],"state_sha256":"53eab2da86ccb97acc52cb37a97a2c697128749dda2aac2544e9fb7d9f543438"}