{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CJY5ZSXAYZOYTZKSDXBIAV2KIP","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":"15383a69759b4e526090839f61a46cd6faf75f6f33419d4624cdf44b5ab0502a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-07-03T20:55:41Z","title_canon_sha256":"f86932aaea6c017287f5e404512ed72381d90e06b50fa25fe3f0ebf8472944e1"},"schema_version":"1.0","source":{"id":"1507.01027","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.01027","created_at":"2026-05-18T01:37:18Z"},{"alias_kind":"arxiv_version","alias_value":"1507.01027v1","created_at":"2026-05-18T01:37:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01027","created_at":"2026-05-18T01:37:18Z"},{"alias_kind":"pith_short_12","alias_value":"CJY5ZSXAYZOY","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CJY5ZSXAYZOYTZKS","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CJY5ZSXA","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:1adc4c5f9c16eb964ee49aa951b902db1bfefe344d85f53ad779c2021ada52f6","target":"graph","created_at":"2026-05-18T01:37:18Z","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":"A non-complete graph $\\Gamma$ is said to be $(G,2)$-distance transitive if $G$ is a subgroup of the automorphism group of $\\Gamma$ that is transitive on the vertex set of $\\Gamma$, and for any vertex $u$ of $\\Gamma$, the stabilizer $G_u$ is transitive on the sets of vertices at distance 1 and 2 from $u$. This paper investigates the family of $(G,2)$-distance transitive graphs that are not $(G,2)$-arc transitive. Our main result is the classification of such graphs of valency not greater than 5.","authors_text":"Brian P. Corr, Csaba Schneider, Wei Jin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-07-03T20:55:41Z","title":"Finite 2-distance transitive graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01027","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":"sha256:70866f80cb0e4732c16928030242ec103ad12aad8f39de95ebba1d54c8c6d789","target":"record","created_at":"2026-05-18T01:37:18Z","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":"15383a69759b4e526090839f61a46cd6faf75f6f33419d4624cdf44b5ab0502a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-07-03T20:55:41Z","title_canon_sha256":"f86932aaea6c017287f5e404512ed72381d90e06b50fa25fe3f0ebf8472944e1"},"schema_version":"1.0","source":{"id":"1507.01027","kind":"arxiv","version":1}},"canonical_sha256":"1271dccae0c65d89e5521dc280574a43e280d47d6f4bdc7f18248c17800d1c22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1271dccae0c65d89e5521dc280574a43e280d47d6f4bdc7f18248c17800d1c22","first_computed_at":"2026-05-18T01:37:18.363810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:18.363810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"52LcXW8KefnALtDJC/2Fq7EV/dYnJlH37PNSuhnwnMESouvfmDkAA5x0PlY/tbPrg6m54HTLjTVVKULhrDM/AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:18.364509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.01027","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70866f80cb0e4732c16928030242ec103ad12aad8f39de95ebba1d54c8c6d789","sha256:1adc4c5f9c16eb964ee49aa951b902db1bfefe344d85f53ad779c2021ada52f6"],"state_sha256":"b338dc62cb2941a04556783183fe62d6f302e9a2dcc01225b5bd3ddc1140035b"}