{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AL34CPXZSQ43K6ASPI3U5E6THA","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":"ef3c52aa62b65d1319b31c1c3d37e268fa0530a8344edb65dd0ff5d82566c2d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-01T10:17:42Z","title_canon_sha256":"bab891cb255f994e7643b5e8fe61cb60c1caacfc480d6a50b0dd001c4fd2d15e"},"schema_version":"1.0","source":{"id":"1612.00191","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00191","created_at":"2026-05-18T00:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00191v1","created_at":"2026-05-18T00:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00191","created_at":"2026-05-18T00:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"AL34CPXZSQ43","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AL34CPXZSQ43K6AS","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AL34CPXZ","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:c75a85b298fc3fc298a4897bc43cd49e7e2f3a469ca2f606d50ec3a0d37b3d06","target":"graph","created_at":"2026-05-18T00:56:05Z","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 the classification of the maximal infinite algebraic subgroups of the real Cremona group of the plane up to conjugacy and present a parametrisation space of each conjugacy class. Moreover, we show that the real plane Cremona group is not generated by a countable union of its infinite algebraic subgroups.","authors_text":"Maria Fernanda Robayo, Susanna Zimmermann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-01T10:17:42Z","title":"Infinite algebraic subgroups of the real Cremona group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00191","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:f18b553708a61ca101a95c457b26f4f8603b4f7a357754e278e91de6b9a986a0","target":"record","created_at":"2026-05-18T00:56:05Z","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":"ef3c52aa62b65d1319b31c1c3d37e268fa0530a8344edb65dd0ff5d82566c2d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-01T10:17:42Z","title_canon_sha256":"bab891cb255f994e7643b5e8fe61cb60c1caacfc480d6a50b0dd001c4fd2d15e"},"schema_version":"1.0","source":{"id":"1612.00191","kind":"arxiv","version":1}},"canonical_sha256":"02f7c13ef99439b578127a374e93d338066c7db69ef907c025037d3a8f215835","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02f7c13ef99439b578127a374e93d338066c7db69ef907c025037d3a8f215835","first_computed_at":"2026-05-18T00:56:05.799529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:05.799529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YYjV/lYQXbNRQY6m8SdOsO+Adr4ABy2e8c5ewaJTb6lpxv1d7B5rwDM0uNdJCXz2vCszo+t8ch4tvtZ5yTwnAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:05.800254Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.00191","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f18b553708a61ca101a95c457b26f4f8603b4f7a357754e278e91de6b9a986a0","sha256:c75a85b298fc3fc298a4897bc43cd49e7e2f3a469ca2f606d50ec3a0d37b3d06"],"state_sha256":"4216948a86867d4067fdc10a9c4558c671a08b71356b2eb26e782a69ec669d00"}