{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7MCUOWW476K4MZGM5EKLLKHJMB","short_pith_number":"pith:7MCUOWW4","canonical_record":{"source":{"id":"1304.2549","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-09T12:23:27Z","cross_cats_sorted":[],"title_canon_sha256":"2a1228a6b0c1e62edb6443d6161a0db84d61d0bafb6581a4502e8b25647cff9a","abstract_canon_sha256":"ffd2fba808c85500f2307fd65548663d87dd955a547f2ee30b29ae87dc86f439"},"schema_version":"1.0"},"canonical_sha256":"fb05475adcff95c664cce914b5a8e9606d4158f8f2f7a176014ea07c76863132","source":{"kind":"arxiv","id":"1304.2549","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2549","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2549v2","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2549","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"pith_short_12","alias_value":"7MCUOWW476K4","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7MCUOWW476K4MZGM","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7MCUOWW4","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7MCUOWW476K4MZGM5EKLLKHJMB","target":"record","payload":{"canonical_record":{"source":{"id":"1304.2549","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-09T12:23:27Z","cross_cats_sorted":[],"title_canon_sha256":"2a1228a6b0c1e62edb6443d6161a0db84d61d0bafb6581a4502e8b25647cff9a","abstract_canon_sha256":"ffd2fba808c85500f2307fd65548663d87dd955a547f2ee30b29ae87dc86f439"},"schema_version":"1.0"},"canonical_sha256":"fb05475adcff95c664cce914b5a8e9606d4158f8f2f7a176014ea07c76863132","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:05.153075Z","signature_b64":"jsk1b8n9WyAq5a5b9syB/8CrA8f00zYDQ67IrcNgv/WAIjDNqdubDuOFZK+1dh75HOw9pn6hAh4b5kDIw8w9AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb05475adcff95c664cce914b5a8e9606d4158f8f2f7a176014ea07c76863132","last_reissued_at":"2026-05-18T00:57:05.152382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:05.152382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.2549","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a3QUS342xcNtQ2VpagUVXZAmXOlKI2XEQEYcejIYS3IAfAtg4BDWwjDslN/wYqC0rV7a9e481hzrR3VOsFa1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:21:52.245625Z"},"content_sha256":"fc7b236e6d050c495ecdbea725320fb0627d99025beddf4648ec0b6d6a38434d","schema_version":"1.0","event_id":"sha256:fc7b236e6d050c495ecdbea725320fb0627d99025beddf4648ec0b6d6a38434d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7MCUOWW476K4MZGM5EKLLKHJMB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Automorphisms of the plane preserving a curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Immanuel Stampfli, J\\'er\\'emy Blanc","submitted_at":"2013-04-09T12:23:27Z","abstract_excerpt":"We study the group of automorphisms of the affine plane preserving some given curve, over any field. The group is proven to be algebraic, except in the case where the curve is a bunch of parallel lines. Moreover, a classification of the groups of positive dimension occuring is also given in the case where the curve is geometrically irreducible and the field is perfect."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2549","kind":"arxiv","version":2},"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":"2026-05-18T00:57:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zIFhnwOpMUdU/2FXAkCoiARlBHcGfiHCrSP0tSFRby6FT5OYdzrDddVTR7utonujAOJSq3AanFCn0GIoEN9cBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:21:52.245965Z"},"content_sha256":"ce38bee8b1d028a947ec193fd98957e4b362b588a195ac7162d0080e00bdb765","schema_version":"1.0","event_id":"sha256:ce38bee8b1d028a947ec193fd98957e4b362b588a195ac7162d0080e00bdb765"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7MCUOWW476K4MZGM5EKLLKHJMB/bundle.json","state_url":"https://pith.science/pith/7MCUOWW476K4MZGM5EKLLKHJMB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7MCUOWW476K4MZGM5EKLLKHJMB/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":"2026-06-02T00:21:52Z","links":{"resolver":"https://pith.science/pith/7MCUOWW476K4MZGM5EKLLKHJMB","bundle":"https://pith.science/pith/7MCUOWW476K4MZGM5EKLLKHJMB/bundle.json","state":"https://pith.science/pith/7MCUOWW476K4MZGM5EKLLKHJMB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7MCUOWW476K4MZGM5EKLLKHJMB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7MCUOWW476K4MZGM5EKLLKHJMB","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":"ffd2fba808c85500f2307fd65548663d87dd955a547f2ee30b29ae87dc86f439","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-09T12:23:27Z","title_canon_sha256":"2a1228a6b0c1e62edb6443d6161a0db84d61d0bafb6581a4502e8b25647cff9a"},"schema_version":"1.0","source":{"id":"1304.2549","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2549","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2549v2","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2549","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"pith_short_12","alias_value":"7MCUOWW476K4","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7MCUOWW476K4MZGM","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7MCUOWW4","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:ce38bee8b1d028a947ec193fd98957e4b362b588a195ac7162d0080e00bdb765","target":"graph","created_at":"2026-05-18T00:57:05Z","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 study the group of automorphisms of the affine plane preserving some given curve, over any field. The group is proven to be algebraic, except in the case where the curve is a bunch of parallel lines. Moreover, a classification of the groups of positive dimension occuring is also given in the case where the curve is geometrically irreducible and the field is perfect.","authors_text":"Immanuel Stampfli, J\\'er\\'emy Blanc","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-09T12:23:27Z","title":"Automorphisms of the plane preserving a curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2549","kind":"arxiv","version":2},"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:fc7b236e6d050c495ecdbea725320fb0627d99025beddf4648ec0b6d6a38434d","target":"record","created_at":"2026-05-18T00:57:05Z","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":"ffd2fba808c85500f2307fd65548663d87dd955a547f2ee30b29ae87dc86f439","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-09T12:23:27Z","title_canon_sha256":"2a1228a6b0c1e62edb6443d6161a0db84d61d0bafb6581a4502e8b25647cff9a"},"schema_version":"1.0","source":{"id":"1304.2549","kind":"arxiv","version":2}},"canonical_sha256":"fb05475adcff95c664cce914b5a8e9606d4158f8f2f7a176014ea07c76863132","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb05475adcff95c664cce914b5a8e9606d4158f8f2f7a176014ea07c76863132","first_computed_at":"2026-05-18T00:57:05.152382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:05.152382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jsk1b8n9WyAq5a5b9syB/8CrA8f00zYDQ67IrcNgv/WAIjDNqdubDuOFZK+1dh75HOw9pn6hAh4b5kDIw8w9AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:05.153075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.2549","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc7b236e6d050c495ecdbea725320fb0627d99025beddf4648ec0b6d6a38434d","sha256:ce38bee8b1d028a947ec193fd98957e4b362b588a195ac7162d0080e00bdb765"],"state_sha256":"6c3f2292e60b3f1cc8f023486be0de3ecc33c279934d37d86d79bb27c0a4b5b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qp+xBY9jKKoA8L9FlFUcrLflwcfR7Vjm02m2d7R+T6Y2HxBhdr+h0XQQ7tIY8HqSfBTUqImuqNjl+Xx3+VWdCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:21:52.248828Z","bundle_sha256":"689e72b601bf82180f49929dddc9b602fa42f9943ee78d7691e805ad7cc087da"}}