{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:NDTKTXRVWL2S2YYCUXUHWUW7TX","short_pith_number":"pith:NDTKTXRV","schema_version":"1.0","canonical_sha256":"68e6a9de35b2f52d6302a5e87b52df9dd719dde2e7f128b2e5b643149a557906","source":{"kind":"arxiv","id":"2208.07782","version":1},"attestation_state":"computed","paper":{"title":"A characterization of finite groups by certain Galois conjugacy class of irreducible characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Dongfang Yang, Yu Zeng","submitted_at":"2022-08-16T14:51:32Z","abstract_excerpt":"We classify the finite groups $G$ which satisfies the condition that every complex irreducible character,whose degree's square doesn't divide the index of its kernel in $G$, lies in the same Galois conjugacy class."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2208.07782","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2022-08-16T14:51:32Z","cross_cats_sorted":[],"title_canon_sha256":"c4a96a22a689f4f2c0d15382a9390a158a5dea6311edd3f30e83264cb5091423","abstract_canon_sha256":"32af0eea1e55ff8fcb5b00ad1d1b69da7fe98bb246c47b12c99f7216169b4e92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:49:08.895177Z","signature_b64":"LqSfI18Nn/xD5zFPsKImg/9m0VJyDcQXwhh/efkoCptq51DkRbdzGYjyBPHrV+Ft5YIs6qmV8H3rlDGS8K7sBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68e6a9de35b2f52d6302a5e87b52df9dd719dde2e7f128b2e5b643149a557906","last_reissued_at":"2026-07-05T04:49:08.894764Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:49:08.894764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A characterization of finite groups by certain Galois conjugacy class of irreducible characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Dongfang Yang, Yu Zeng","submitted_at":"2022-08-16T14:51:32Z","abstract_excerpt":"We classify the finite groups $G$ which satisfies the condition that every complex irreducible character,whose degree's square doesn't divide the index of its kernel in $G$, lies in the same Galois conjugacy class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.07782","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/2208.07782/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2208.07782","created_at":"2026-07-05T04:49:08.894824+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.07782v1","created_at":"2026-07-05T04:49:08.894824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.07782","created_at":"2026-07-05T04:49:08.894824+00:00"},{"alias_kind":"pith_short_12","alias_value":"NDTKTXRVWL2S","created_at":"2026-07-05T04:49:08.894824+00:00"},{"alias_kind":"pith_short_16","alias_value":"NDTKTXRVWL2S2YYC","created_at":"2026-07-05T04:49:08.894824+00:00"},{"alias_kind":"pith_short_8","alias_value":"NDTKTXRV","created_at":"2026-07-05T04:49:08.894824+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NDTKTXRVWL2S2YYCUXUHWUW7TX","json":"https://pith.science/pith/NDTKTXRVWL2S2YYCUXUHWUW7TX.json","graph_json":"https://pith.science/api/pith-number/NDTKTXRVWL2S2YYCUXUHWUW7TX/graph.json","events_json":"https://pith.science/api/pith-number/NDTKTXRVWL2S2YYCUXUHWUW7TX/events.json","paper":"https://pith.science/paper/NDTKTXRV"},"agent_actions":{"view_html":"https://pith.science/pith/NDTKTXRVWL2S2YYCUXUHWUW7TX","download_json":"https://pith.science/pith/NDTKTXRVWL2S2YYCUXUHWUW7TX.json","view_paper":"https://pith.science/paper/NDTKTXRV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.07782&json=true","fetch_graph":"https://pith.science/api/pith-number/NDTKTXRVWL2S2YYCUXUHWUW7TX/graph.json","fetch_events":"https://pith.science/api/pith-number/NDTKTXRVWL2S2YYCUXUHWUW7TX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NDTKTXRVWL2S2YYCUXUHWUW7TX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NDTKTXRVWL2S2YYCUXUHWUW7TX/action/storage_attestation","attest_author":"https://pith.science/pith/NDTKTXRVWL2S2YYCUXUHWUW7TX/action/author_attestation","sign_citation":"https://pith.science/pith/NDTKTXRVWL2S2YYCUXUHWUW7TX/action/citation_signature","submit_replication":"https://pith.science/pith/NDTKTXRVWL2S2YYCUXUHWUW7TX/action/replication_record"}},"created_at":"2026-07-05T04:49:08.894824+00:00","updated_at":"2026-07-05T04:49:08.894824+00:00"}