{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UABB5KJXRUSAS3QTKROPVUKJBW","short_pith_number":"pith:UABB5KJX","schema_version":"1.0","canonical_sha256":"a0021ea9378d24096e13545cfad1490da9e503734ebf31361380bf7ffae94f38","source":{"kind":"arxiv","id":"1805.12119","version":3},"attestation_state":"computed","paper":{"title":"A combinatorial characterization of finite groups of prime exponent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ramesh Prasad Panda","submitted_at":"2018-05-30T17:58:52Z","abstract_excerpt":"The power graph of a group $G$ is a simple and undirected graph with vertex set $G$ and two distinct vertices are adjacent if one is a power of the other. In this article, we characterize (non-cyclic) finite groups of prime exponent and finite elementary abelian $2$-groups (of rank at least $2$) in terms of their power graphs."},"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":"1805.12119","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-05-30T17:58:52Z","cross_cats_sorted":[],"title_canon_sha256":"1204843b077b324bba2cb174ce53a1b7ba75f807b90fc31d820fe5374ee70075","abstract_canon_sha256":"1e4447ef0c731cb351697f36943f35f8647b802ec8996df9f16020a8609b920f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:59.654006Z","signature_b64":"gRzX4Rwq1nWGXVEjyIBBoX5iRumCQ0zQDVNCdaMgZ4unpc15cobJOqskx6UEsC9Tz5427KmsgsFSv5ftZiDaAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0021ea9378d24096e13545cfad1490da9e503734ebf31361380bf7ffae94f38","last_reissued_at":"2026-05-17T23:50:59.653338Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:59.653338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A combinatorial characterization of finite groups of prime exponent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ramesh Prasad Panda","submitted_at":"2018-05-30T17:58:52Z","abstract_excerpt":"The power graph of a group $G$ is a simple and undirected graph with vertex set $G$ and two distinct vertices are adjacent if one is a power of the other. In this article, we characterize (non-cyclic) finite groups of prime exponent and finite elementary abelian $2$-groups (of rank at least $2$) in terms of their power graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.12119","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1805.12119","created_at":"2026-05-17T23:50:59.653451+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.12119v3","created_at":"2026-05-17T23:50:59.653451+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.12119","created_at":"2026-05-17T23:50:59.653451+00:00"},{"alias_kind":"pith_short_12","alias_value":"UABB5KJXRUSA","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"UABB5KJXRUSAS3QT","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"UABB5KJX","created_at":"2026-05-18T12:32:56.356000+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/UABB5KJXRUSAS3QTKROPVUKJBW","json":"https://pith.science/pith/UABB5KJXRUSAS3QTKROPVUKJBW.json","graph_json":"https://pith.science/api/pith-number/UABB5KJXRUSAS3QTKROPVUKJBW/graph.json","events_json":"https://pith.science/api/pith-number/UABB5KJXRUSAS3QTKROPVUKJBW/events.json","paper":"https://pith.science/paper/UABB5KJX"},"agent_actions":{"view_html":"https://pith.science/pith/UABB5KJXRUSAS3QTKROPVUKJBW","download_json":"https://pith.science/pith/UABB5KJXRUSAS3QTKROPVUKJBW.json","view_paper":"https://pith.science/paper/UABB5KJX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.12119&json=true","fetch_graph":"https://pith.science/api/pith-number/UABB5KJXRUSAS3QTKROPVUKJBW/graph.json","fetch_events":"https://pith.science/api/pith-number/UABB5KJXRUSAS3QTKROPVUKJBW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UABB5KJXRUSAS3QTKROPVUKJBW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UABB5KJXRUSAS3QTKROPVUKJBW/action/storage_attestation","attest_author":"https://pith.science/pith/UABB5KJXRUSAS3QTKROPVUKJBW/action/author_attestation","sign_citation":"https://pith.science/pith/UABB5KJXRUSAS3QTKROPVUKJBW/action/citation_signature","submit_replication":"https://pith.science/pith/UABB5KJXRUSAS3QTKROPVUKJBW/action/replication_record"}},"created_at":"2026-05-17T23:50:59.653451+00:00","updated_at":"2026-05-17T23:50:59.653451+00:00"}