{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4OMZACVRO4MCFCFAV4DARUBNX5","short_pith_number":"pith:4OMZACVR","canonical_record":{"source":{"id":"1808.05023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-15T10:13:23Z","cross_cats_sorted":[],"title_canon_sha256":"beea1f56e9dc460f7735f89bdb8c3552a3f38e239dacdf8fb148c17e80836fb6","abstract_canon_sha256":"905b408d65ca6738576ccc51c0439a46026abdbf15e0d68669e813f9b7a45ab1"},"schema_version":"1.0"},"canonical_sha256":"e399900ab177182288a0af0608d02dbf7567df24b9d5f11d023bd427d22fba44","source":{"kind":"arxiv","id":"1808.05023","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05023","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05023v1","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05023","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"pith_short_12","alias_value":"4OMZACVRO4MC","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4OMZACVRO4MCFCFA","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4OMZACVR","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4OMZACVRO4MCFCFAV4DARUBNX5","target":"record","payload":{"canonical_record":{"source":{"id":"1808.05023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-15T10:13:23Z","cross_cats_sorted":[],"title_canon_sha256":"beea1f56e9dc460f7735f89bdb8c3552a3f38e239dacdf8fb148c17e80836fb6","abstract_canon_sha256":"905b408d65ca6738576ccc51c0439a46026abdbf15e0d68669e813f9b7a45ab1"},"schema_version":"1.0"},"canonical_sha256":"e399900ab177182288a0af0608d02dbf7567df24b9d5f11d023bd427d22fba44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:01.866198Z","signature_b64":"EC5EssAtJE2c/9mcQNOZwrCYjNncp/vM40QZxuWSoLBkP+4np7Q8+eVoDzIgUebqJt7UnlquXzqqjpY6q52qDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e399900ab177182288a0af0608d02dbf7567df24b9d5f11d023bd427d22fba44","last_reissued_at":"2026-05-18T00:08:01.865434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:01.865434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.05023","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fUbUTdCvkXtW5jz/frxHl3LYKEmT3Y6YtJChOxCxbIe6dWFb+QIzqu2NolruB7L1w1TS1X9VtWU2iTtqWlH9Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:24:42.436096Z"},"content_sha256":"75fc3b1012a88891c2b11ca9171638d0a305240a26969a626976a58c4aa7d580","schema_version":"1.0","event_id":"sha256:75fc3b1012a88891c2b11ca9171638d0a305240a26969a626976a58c4aa7d580"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4OMZACVRO4MCFCFAV4DARUBNX5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"G-birational superrigidity of del Pezzo surfaces of degree 2 and 3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Lucas das Dores, Mirko Mauri","submitted_at":"2018-08-15T10:13:23Z","abstract_excerpt":"Any minimal Del Pezzo G-surface S of degree smaller than 3 is G-birationally rigid. We classify those which are G-birationally superrigid and for those which fail to be so, we describe the equations of a set of generators for the infinite group of G-birational automorphisms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05023","kind":"arxiv","version":1},"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":"2026-05-18T00:08:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LLL/hxIxnNlUNPrQh4+9zQLJejY8GDka5DwDXdE8I5v/Ga26AZVxfa898gNaq3T1mXCKXoTBRSzFwWX1oChIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:24:42.436984Z"},"content_sha256":"825a598d8daf1fa1d5b5954039ac178814ff30e0ff766735f04dc44bb97f466f","schema_version":"1.0","event_id":"sha256:825a598d8daf1fa1d5b5954039ac178814ff30e0ff766735f04dc44bb97f466f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4OMZACVRO4MCFCFAV4DARUBNX5/bundle.json","state_url":"https://pith.science/pith/4OMZACVRO4MCFCFAV4DARUBNX5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4OMZACVRO4MCFCFAV4DARUBNX5/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":"2026-06-08T19:24:42Z","links":{"resolver":"https://pith.science/pith/4OMZACVRO4MCFCFAV4DARUBNX5","bundle":"https://pith.science/pith/4OMZACVRO4MCFCFAV4DARUBNX5/bundle.json","state":"https://pith.science/pith/4OMZACVRO4MCFCFAV4DARUBNX5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4OMZACVRO4MCFCFAV4DARUBNX5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4OMZACVRO4MCFCFAV4DARUBNX5","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":"905b408d65ca6738576ccc51c0439a46026abdbf15e0d68669e813f9b7a45ab1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-15T10:13:23Z","title_canon_sha256":"beea1f56e9dc460f7735f89bdb8c3552a3f38e239dacdf8fb148c17e80836fb6"},"schema_version":"1.0","source":{"id":"1808.05023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05023","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05023v1","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05023","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"pith_short_12","alias_value":"4OMZACVRO4MC","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4OMZACVRO4MCFCFA","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4OMZACVR","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:825a598d8daf1fa1d5b5954039ac178814ff30e0ff766735f04dc44bb97f466f","target":"graph","created_at":"2026-05-18T00:08:01Z","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":"Any minimal Del Pezzo G-surface S of degree smaller than 3 is G-birationally rigid. We classify those which are G-birationally superrigid and for those which fail to be so, we describe the equations of a set of generators for the infinite group of G-birational automorphisms.","authors_text":"Lucas das Dores, Mirko Mauri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-15T10:13:23Z","title":"G-birational superrigidity of del Pezzo surfaces of degree 2 and 3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05023","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":"sha256:75fc3b1012a88891c2b11ca9171638d0a305240a26969a626976a58c4aa7d580","target":"record","created_at":"2026-05-18T00:08:01Z","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":"905b408d65ca6738576ccc51c0439a46026abdbf15e0d68669e813f9b7a45ab1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-15T10:13:23Z","title_canon_sha256":"beea1f56e9dc460f7735f89bdb8c3552a3f38e239dacdf8fb148c17e80836fb6"},"schema_version":"1.0","source":{"id":"1808.05023","kind":"arxiv","version":1}},"canonical_sha256":"e399900ab177182288a0af0608d02dbf7567df24b9d5f11d023bd427d22fba44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e399900ab177182288a0af0608d02dbf7567df24b9d5f11d023bd427d22fba44","first_computed_at":"2026-05-18T00:08:01.865434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:01.865434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EC5EssAtJE2c/9mcQNOZwrCYjNncp/vM40QZxuWSoLBkP+4np7Q8+eVoDzIgUebqJt7UnlquXzqqjpY6q52qDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:01.866198Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.05023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75fc3b1012a88891c2b11ca9171638d0a305240a26969a626976a58c4aa7d580","sha256:825a598d8daf1fa1d5b5954039ac178814ff30e0ff766735f04dc44bb97f466f"],"state_sha256":"391eb6eee57b70158087679efaf73a3ece817e178ff9b97a3be6950cf3171280"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dr7CGjpenBfZ4nCYRM5pHqJbBLqM9RF+SRf4XKGihp/Mxp72XRc4qlXxRbVvGsSpdb/KX09mNGh0LNKTUtV3Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:24:42.440676Z","bundle_sha256":"23955edf438f9e068b4a3a1d7763ddf482bad5fefc3bb812b19ad43bbfab813b"}}