{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:B6IYTK23XD54EHGQ7K4DYHBF72","short_pith_number":"pith:B6IYTK23","canonical_record":{"source":{"id":"2606.20228","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-06-18T13:40:37Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"3175ac29d59109a827f55c123fdca942c51e8515682b88172e82ea0e2be625f0","abstract_canon_sha256":"f8585172192cae9e5306f4b387e9d6f805f950d07a05355efbe5e561b4c1fe4e"},"schema_version":"1.0"},"canonical_sha256":"0f9189ab5bb8fbc21cd0fab83c1c25feb5b1f16321918b80f8f30266b7b2c0cd","source":{"kind":"arxiv","id":"2606.20228","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.20228","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"2606.20228v1","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.20228","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"B6IYTK23XD54","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"pith_short_16","alias_value":"B6IYTK23XD54EHGQ","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"pith_short_8","alias_value":"B6IYTK23","created_at":"2026-06-19T16:13:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:B6IYTK23XD54EHGQ7K4DYHBF72","target":"record","payload":{"canonical_record":{"source":{"id":"2606.20228","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-06-18T13:40:37Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"3175ac29d59109a827f55c123fdca942c51e8515682b88172e82ea0e2be625f0","abstract_canon_sha256":"f8585172192cae9e5306f4b387e9d6f805f950d07a05355efbe5e561b4c1fe4e"},"schema_version":"1.0"},"canonical_sha256":"0f9189ab5bb8fbc21cd0fab83c1c25feb5b1f16321918b80f8f30266b7b2c0cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:13:06.398743Z","signature_b64":"DaWHPSZcq6cHBgeVpvnUWgaQxh2pGDRYJoQHLg1PHarjlTfX2uzPyR1wBs18gALsxGEfuCKMlwbJWnzhXeRLDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f9189ab5bb8fbc21cd0fab83c1c25feb5b1f16321918b80f8f30266b7b2c0cd","last_reissued_at":"2026-06-19T16:13:06.398359Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:13:06.398359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.20228","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":"2026-06-19T16:13:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4UjQPtd+Vdxv0wKWukyglVCZmzO1xG5u5GX+EF3dvnS+0GlVFEdOu5mKzq8FXGao09E2uS2Em9EtfzxutD9UCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T13:47:49.786881Z"},"content_sha256":"285d92cb4007e2bdd443123dc3ade4e73438ad922ad23793d0ecfa8a9ca9c5ba","schema_version":"1.0","event_id":"sha256:285d92cb4007e2bdd443123dc3ade4e73438ad922ad23793d0ecfa8a9ca9c5ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:B6IYTK23XD54EHGQ7K4DYHBF72","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wild automorphisms and compound isotriviality","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.AG","authors_text":"Jason Bell, Rahim Moosa","submitted_at":"2026-06-18T13:40:37Z","abstract_excerpt":"Inspired by the model theory of difference fields in characteristic zero, a class of automorphisms of an algebraic variety, here called compound fundamental isotrivial, is introduced. These are algebraic dynamical systems that are built up via a finite sequence of equivariant fibrations from (possibly nonautonomous) algebraic dynamics which trivialise after base extension over themselves. Every wild automorphism of an abelian variety is compound fundamental isotrivial. Conversely, it is shown that the only irreducible projective varieties admitting a wild automorphism that is compound fundamen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.20228","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.20228/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-19T16:13:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N2G1su/n32WHh2SatERbpXDfJLW4LMpckq80DW00gfXjUdSYY4WMav/IzfkvKXbeXtf/XQrcUrHVZ6CTXSqcCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T13:47:49.787266Z"},"content_sha256":"fa0f007aff9b79aea1d07a580d36f7bff03a73ea006420b5460ece9fec4a0695","schema_version":"1.0","event_id":"sha256:fa0f007aff9b79aea1d07a580d36f7bff03a73ea006420b5460ece9fec4a0695"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B6IYTK23XD54EHGQ7K4DYHBF72/bundle.json","state_url":"https://pith.science/pith/B6IYTK23XD54EHGQ7K4DYHBF72/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B6IYTK23XD54EHGQ7K4DYHBF72/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":"2026-06-21T13:47:49Z","links":{"resolver":"https://pith.science/pith/B6IYTK23XD54EHGQ7K4DYHBF72","bundle":"https://pith.science/pith/B6IYTK23XD54EHGQ7K4DYHBF72/bundle.json","state":"https://pith.science/pith/B6IYTK23XD54EHGQ7K4DYHBF72/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B6IYTK23XD54EHGQ7K4DYHBF72/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:B6IYTK23XD54EHGQ7K4DYHBF72","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":"f8585172192cae9e5306f4b387e9d6f805f950d07a05355efbe5e561b4c1fe4e","cross_cats_sorted":["math.LO"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-06-18T13:40:37Z","title_canon_sha256":"3175ac29d59109a827f55c123fdca942c51e8515682b88172e82ea0e2be625f0"},"schema_version":"1.0","source":{"id":"2606.20228","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.20228","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"2606.20228v1","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.20228","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"B6IYTK23XD54","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"pith_short_16","alias_value":"B6IYTK23XD54EHGQ","created_at":"2026-06-19T16:13:06Z"},{"alias_kind":"pith_short_8","alias_value":"B6IYTK23","created_at":"2026-06-19T16:13:06Z"}],"graph_snapshots":[{"event_id":"sha256:fa0f007aff9b79aea1d07a580d36f7bff03a73ea006420b5460ece9fec4a0695","target":"graph","created_at":"2026-06-19T16:13:06Z","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/2606.20228/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inspired by the model theory of difference fields in characteristic zero, a class of automorphisms of an algebraic variety, here called compound fundamental isotrivial, is introduced. These are algebraic dynamical systems that are built up via a finite sequence of equivariant fibrations from (possibly nonautonomous) algebraic dynamics which trivialise after base extension over themselves. Every wild automorphism of an abelian variety is compound fundamental isotrivial. Conversely, it is shown that the only irreducible projective varieties admitting a wild automorphism that is compound fundamen","authors_text":"Jason Bell, Rahim Moosa","cross_cats":["math.LO"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-06-18T13:40:37Z","title":"Wild automorphisms and compound isotriviality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.20228","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":"sha256:285d92cb4007e2bdd443123dc3ade4e73438ad922ad23793d0ecfa8a9ca9c5ba","target":"record","created_at":"2026-06-19T16:13:06Z","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":"f8585172192cae9e5306f4b387e9d6f805f950d07a05355efbe5e561b4c1fe4e","cross_cats_sorted":["math.LO"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-06-18T13:40:37Z","title_canon_sha256":"3175ac29d59109a827f55c123fdca942c51e8515682b88172e82ea0e2be625f0"},"schema_version":"1.0","source":{"id":"2606.20228","kind":"arxiv","version":1}},"canonical_sha256":"0f9189ab5bb8fbc21cd0fab83c1c25feb5b1f16321918b80f8f30266b7b2c0cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f9189ab5bb8fbc21cd0fab83c1c25feb5b1f16321918b80f8f30266b7b2c0cd","first_computed_at":"2026-06-19T16:13:06.398359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:13:06.398359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DaWHPSZcq6cHBgeVpvnUWgaQxh2pGDRYJoQHLg1PHarjlTfX2uzPyR1wBs18gALsxGEfuCKMlwbJWnzhXeRLDQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:13:06.398743Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.20228","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:285d92cb4007e2bdd443123dc3ade4e73438ad922ad23793d0ecfa8a9ca9c5ba","sha256:fa0f007aff9b79aea1d07a580d36f7bff03a73ea006420b5460ece9fec4a0695"],"state_sha256":"1da36c01fba8b22104309c555574c665f6a6508461333e5c2ccacbbcecda60ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g2fny3FMrBSYYMkJhripVWD4eqJzkNiwPswjAM5eprE1jR6FO+FmiECHELemwKdk4UXnAftI39WlwBFODDy0Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T13:47:49.789325Z","bundle_sha256":"0b4d59a9f33778999254bdb84c7b880dfd4f26adf22bed38c7bcced0007e5d36"}}