{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2JT7TRI5E24OCBXED32VVHMEHY","short_pith_number":"pith:2JT7TRI5","canonical_record":{"source":{"id":"1410.0901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-03T16:28:48Z","cross_cats_sorted":[],"title_canon_sha256":"a9cec1756a8833f817871248dec9ca6bdd16f575048917cace605f4e176be8fa","abstract_canon_sha256":"df5727bc6e8fa2aeaf3a1c4b17933556cfa2ac22b0338d167ffd0eaa589286c5"},"schema_version":"1.0"},"canonical_sha256":"d267f9c51d26b8e106e41ef55a9d843e38f84d739ed5643358a141756bb929c5","source":{"kind":"arxiv","id":"1410.0901","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0901","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0901v1","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0901","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"pith_short_12","alias_value":"2JT7TRI5E24O","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2JT7TRI5E24OCBXE","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2JT7TRI5","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2JT7TRI5E24OCBXED32VVHMEHY","target":"record","payload":{"canonical_record":{"source":{"id":"1410.0901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-03T16:28:48Z","cross_cats_sorted":[],"title_canon_sha256":"a9cec1756a8833f817871248dec9ca6bdd16f575048917cace605f4e176be8fa","abstract_canon_sha256":"df5727bc6e8fa2aeaf3a1c4b17933556cfa2ac22b0338d167ffd0eaa589286c5"},"schema_version":"1.0"},"canonical_sha256":"d267f9c51d26b8e106e41ef55a9d843e38f84d739ed5643358a141756bb929c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:09.525073Z","signature_b64":"vRdVsiemrfKtzEPUycDDe/a8cyNDqCHvYf3xF/2JVYqDcjYtW2ZoxwszmpytWZkVdhDj0ZmmQ4QGGV+LhdSzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d267f9c51d26b8e106e41ef55a9d843e38f84d739ed5643358a141756bb929c5","last_reissued_at":"2026-05-18T02:41:09.524688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:09.524688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.0901","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":"2026-05-18T02:41:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"maMFRVZYV1bZAg3o831IgKG/6vUHc5teZ3f+X0zk5wCPGZO6bSQChA5MLAdsURTpgnYQ+iczUJBJ0KW46UE1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:38:20.080245Z"},"content_sha256":"0edcb6f3057bb140e3134c42399b7466bf676b1e0914993398a6388c4442ccb7","schema_version":"1.0","event_id":"sha256:0edcb6f3057bb140e3134c42399b7466bf676b1e0914993398a6388c4442ccb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2JT7TRI5E24OCBXED32VVHMEHY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The affine automorphism group of A^3 is not a maximal subgroup of the tame automorphism group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Drew Lewis, Eric Edo","submitted_at":"2014-10-03T16:28:48Z","abstract_excerpt":"We construct explicitly a family of proper subgroups of the tame automorphism group of affine three-space (in any characteristic) which are generated by the affine subgroup and a non-affine tame automorphism. One important corollary is the titular result that settles negatively the open question (in characteristic zero) of whether the affine subgroup is a maximal subgroup of the tame automorphism group. We also prove that all groups of this family have the structure of an amalgamated free product of the affine group and a finite group over their intersection."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0901","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":"2026-05-18T02:41:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DovJ75u7tUgmMEgYzap+Z9uDLrqFL7XiApvknPUQk4SrVZcSvLkzFODR7JJhY022kaKXfwSu4WWepWQiVYkcAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:38:20.080607Z"},"content_sha256":"cddd8ad2e5598b43907d611b34931b22ebcae376aa9670ea37353515a3aaf963","schema_version":"1.0","event_id":"sha256:cddd8ad2e5598b43907d611b34931b22ebcae376aa9670ea37353515a3aaf963"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2JT7TRI5E24OCBXED32VVHMEHY/bundle.json","state_url":"https://pith.science/pith/2JT7TRI5E24OCBXED32VVHMEHY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2JT7TRI5E24OCBXED32VVHMEHY/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":"2026-05-30T13:38:20Z","links":{"resolver":"https://pith.science/pith/2JT7TRI5E24OCBXED32VVHMEHY","bundle":"https://pith.science/pith/2JT7TRI5E24OCBXED32VVHMEHY/bundle.json","state":"https://pith.science/pith/2JT7TRI5E24OCBXED32VVHMEHY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2JT7TRI5E24OCBXED32VVHMEHY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2JT7TRI5E24OCBXED32VVHMEHY","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":"df5727bc6e8fa2aeaf3a1c4b17933556cfa2ac22b0338d167ffd0eaa589286c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-03T16:28:48Z","title_canon_sha256":"a9cec1756a8833f817871248dec9ca6bdd16f575048917cace605f4e176be8fa"},"schema_version":"1.0","source":{"id":"1410.0901","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0901","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0901v1","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0901","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"pith_short_12","alias_value":"2JT7TRI5E24O","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2JT7TRI5E24OCBXE","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2JT7TRI5","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:cddd8ad2e5598b43907d611b34931b22ebcae376aa9670ea37353515a3aaf963","target":"graph","created_at":"2026-05-18T02:41:09Z","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 construct explicitly a family of proper subgroups of the tame automorphism group of affine three-space (in any characteristic) which are generated by the affine subgroup and a non-affine tame automorphism. One important corollary is the titular result that settles negatively the open question (in characteristic zero) of whether the affine subgroup is a maximal subgroup of the tame automorphism group. We also prove that all groups of this family have the structure of an amalgamated free product of the affine group and a finite group over their intersection.","authors_text":"Drew Lewis, Eric Edo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-03T16:28:48Z","title":"The affine automorphism group of A^3 is not a maximal subgroup of the tame automorphism group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0901","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":"sha256:0edcb6f3057bb140e3134c42399b7466bf676b1e0914993398a6388c4442ccb7","target":"record","created_at":"2026-05-18T02:41:09Z","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":"df5727bc6e8fa2aeaf3a1c4b17933556cfa2ac22b0338d167ffd0eaa589286c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-03T16:28:48Z","title_canon_sha256":"a9cec1756a8833f817871248dec9ca6bdd16f575048917cace605f4e176be8fa"},"schema_version":"1.0","source":{"id":"1410.0901","kind":"arxiv","version":1}},"canonical_sha256":"d267f9c51d26b8e106e41ef55a9d843e38f84d739ed5643358a141756bb929c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d267f9c51d26b8e106e41ef55a9d843e38f84d739ed5643358a141756bb929c5","first_computed_at":"2026-05-18T02:41:09.524688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:09.524688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vRdVsiemrfKtzEPUycDDe/a8cyNDqCHvYf3xF/2JVYqDcjYtW2ZoxwszmpytWZkVdhDj0ZmmQ4QGGV+LhdSzAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:09.525073Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0901","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0edcb6f3057bb140e3134c42399b7466bf676b1e0914993398a6388c4442ccb7","sha256:cddd8ad2e5598b43907d611b34931b22ebcae376aa9670ea37353515a3aaf963"],"state_sha256":"a9a07f89d3548ef7ef6dbc7008a74f0c683cc3f4a88673a7cce6b2d3729fd873"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h4ltRLpFAUSb4o/elJHouvFvQT8H+EPG1gs5PcYDlUZLQrK5uy2xReTQiErT0m+/U5GVutfzn67DuiUzohCYDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:38:20.082823Z","bundle_sha256":"27da5d61577a499d10c8c73c3c738b6c72c3a9de2e72e04f76197689bff37781"}}