{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:STA2TO6WLEZNY5AVOHD2OYQEUZ","short_pith_number":"pith:STA2TO6W","canonical_record":{"source":{"id":"1208.4636","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-08-22T22:03:54Z","cross_cats_sorted":[],"title_canon_sha256":"ddd826becc4cd7841144f00e98ca7fea5274c57a6c4adedab4213c24f0325db5","abstract_canon_sha256":"2ee3c65c753e3f04bd5b01b748f81c7ccfbb7d77e29263300d0c9111d34bdcfc"},"schema_version":"1.0"},"canonical_sha256":"94c1a9bbd65932dc741571c7a76204a67d074cbe21ec67d4e34b5923c9702c36","source":{"kind":"arxiv","id":"1208.4636","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4636","created_at":"2026-05-18T02:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4636v2","created_at":"2026-05-18T02:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4636","created_at":"2026-05-18T02:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"STA2TO6WLEZN","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"STA2TO6WLEZNY5AV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"STA2TO6W","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:STA2TO6WLEZNY5AVOHD2OYQEUZ","target":"record","payload":{"canonical_record":{"source":{"id":"1208.4636","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-08-22T22:03:54Z","cross_cats_sorted":[],"title_canon_sha256":"ddd826becc4cd7841144f00e98ca7fea5274c57a6c4adedab4213c24f0325db5","abstract_canon_sha256":"2ee3c65c753e3f04bd5b01b748f81c7ccfbb7d77e29263300d0c9111d34bdcfc"},"schema_version":"1.0"},"canonical_sha256":"94c1a9bbd65932dc741571c7a76204a67d074cbe21ec67d4e34b5923c9702c36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:53.307242Z","signature_b64":"CIvXDsVR30IaBbAEBmOdSFZoUiYdJ58HB/Aza7Qhe+LyjUExQ8aMj5fc+qhdxt/HFbsE8NzhoAVm99Wg4wfxCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94c1a9bbd65932dc741571c7a76204a67d074cbe21ec67d4e34b5923c9702c36","last_reissued_at":"2026-05-18T02:57:53.306514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:53.306514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.4636","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":"2026-05-18T02:57:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rh5AkLui/FQd72D/k2P6c3HWU7omvZe/LrjhLW2xQ7yvf+Pvql+Loh8Fh8Gd/sN6mRCmz6t8Bylqf/isGlrLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:48:28.899512Z"},"content_sha256":"2d145179dc1d079978c990db628526ee18ece9e5ec7049aa8c1b34db5ce44371","schema_version":"1.0","event_id":"sha256:2d145179dc1d079978c990db628526ee18ece9e5ec7049aa8c1b34db5ce44371"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:STA2TO6WLEZNY5AVOHD2OYQEUZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-Dimensional Solvable Artin Representations Ramified at One Prime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jonah Leshin","submitted_at":"2012-08-22T22:03:54Z","abstract_excerpt":"We classify the possibilities for the fixed field of the kernel of an irreducible three-dimensional Artin representation of $\\Q$ with solvable image ramified at one prime by using the classification of the finite irreducible subgroups of $\\PGL_3(\\C)$. This allows us to bound the number of such representations with given Artin conductor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4636","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":"2026-05-18T02:57:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"86elrha8oeoaxdgh3ljz6gUZ9llH8zdb2ntRB19I68hZIoJLwnk9D0EoagyBT/nEOEP0lddWXwCQNhygtqupBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:48:28.900150Z"},"content_sha256":"3dc9d3b16b57b0723a96d587f0d5910e6fe48b5da1b6b8ebcc43c913b73c0201","schema_version":"1.0","event_id":"sha256:3dc9d3b16b57b0723a96d587f0d5910e6fe48b5da1b6b8ebcc43c913b73c0201"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/STA2TO6WLEZNY5AVOHD2OYQEUZ/bundle.json","state_url":"https://pith.science/pith/STA2TO6WLEZNY5AVOHD2OYQEUZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/STA2TO6WLEZNY5AVOHD2OYQEUZ/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":"2026-06-08T17:48:28Z","links":{"resolver":"https://pith.science/pith/STA2TO6WLEZNY5AVOHD2OYQEUZ","bundle":"https://pith.science/pith/STA2TO6WLEZNY5AVOHD2OYQEUZ/bundle.json","state":"https://pith.science/pith/STA2TO6WLEZNY5AVOHD2OYQEUZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/STA2TO6WLEZNY5AVOHD2OYQEUZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:STA2TO6WLEZNY5AVOHD2OYQEUZ","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":"2ee3c65c753e3f04bd5b01b748f81c7ccfbb7d77e29263300d0c9111d34bdcfc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-08-22T22:03:54Z","title_canon_sha256":"ddd826becc4cd7841144f00e98ca7fea5274c57a6c4adedab4213c24f0325db5"},"schema_version":"1.0","source":{"id":"1208.4636","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4636","created_at":"2026-05-18T02:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4636v2","created_at":"2026-05-18T02:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4636","created_at":"2026-05-18T02:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"STA2TO6WLEZN","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"STA2TO6WLEZNY5AV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"STA2TO6W","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:3dc9d3b16b57b0723a96d587f0d5910e6fe48b5da1b6b8ebcc43c913b73c0201","target":"graph","created_at":"2026-05-18T02:57:53Z","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 classify the possibilities for the fixed field of the kernel of an irreducible three-dimensional Artin representation of $\\Q$ with solvable image ramified at one prime by using the classification of the finite irreducible subgroups of $\\PGL_3(\\C)$. This allows us to bound the number of such representations with given Artin conductor.","authors_text":"Jonah Leshin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-08-22T22:03:54Z","title":"Three-Dimensional Solvable Artin Representations Ramified at One Prime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4636","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":"sha256:2d145179dc1d079978c990db628526ee18ece9e5ec7049aa8c1b34db5ce44371","target":"record","created_at":"2026-05-18T02:57:53Z","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":"2ee3c65c753e3f04bd5b01b748f81c7ccfbb7d77e29263300d0c9111d34bdcfc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-08-22T22:03:54Z","title_canon_sha256":"ddd826becc4cd7841144f00e98ca7fea5274c57a6c4adedab4213c24f0325db5"},"schema_version":"1.0","source":{"id":"1208.4636","kind":"arxiv","version":2}},"canonical_sha256":"94c1a9bbd65932dc741571c7a76204a67d074cbe21ec67d4e34b5923c9702c36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94c1a9bbd65932dc741571c7a76204a67d074cbe21ec67d4e34b5923c9702c36","first_computed_at":"2026-05-18T02:57:53.306514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:53.306514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CIvXDsVR30IaBbAEBmOdSFZoUiYdJ58HB/Aza7Qhe+LyjUExQ8aMj5fc+qhdxt/HFbsE8NzhoAVm99Wg4wfxCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:53.307242Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4636","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d145179dc1d079978c990db628526ee18ece9e5ec7049aa8c1b34db5ce44371","sha256:3dc9d3b16b57b0723a96d587f0d5910e6fe48b5da1b6b8ebcc43c913b73c0201"],"state_sha256":"666d8195872a1e05bcd9f7ce0f5392b912ccaf4d97497820a7b7bbd754f2dc3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GHzwiY1pWv/cWN3H3iwkpLTw9aGZz7I47JeIgFyTnFm+Z5sCmZx1Dh/a3BnFTsAk6NjBTSwDIKL9LIxvKam6BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:48:28.903915Z","bundle_sha256":"185ef9a81e9849f51224580e94bfa221eeeac2c711ad4d12f32eb974ba297795"}}