{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:EOSZYLLIYUWSWV6TT3Z33ROGFC","short_pith_number":"pith:EOSZYLLI","schema_version":"1.0","canonical_sha256":"23a59c2d68c52d2b57d39ef3bdc5c6289e68261c146073bc7fd21d300a58085e","source":{"kind":"arxiv","id":"1908.01273","version":1},"attestation_state":"computed","paper":{"title":"Affine flag graphs and classification of a family of symmetric graphs with complete quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Sanming Zhou, Teng Fang, Yu Qing Chen","submitted_at":"2019-08-04T05:01:16Z","abstract_excerpt":"A graph $\\Gamma$ is $G$-symmetric if $G$ is a group of automorphisms of $\\Gamma$ which is transitive on the set of ordered pairs of adjacent vertices of $\\Gamma$. If $V(\\Gamma)$ admits a nontrivial $G$-invariant partition ${\\cal B}$ such that for blocks $B, C \\in {\\cal B}$ adjacent in the quotient graph $\\Gamma_{{\\cal B}}$ of $\\Gamma$ relative to ${\\cal B}$, exactly one vertex of $B$ has no neighbour in $C$, then $\\Gamma$ is called an almost multicover of $\\Gamma_{{\\cal B}}$. In this case an incidence structure with point set ${\\cal B}$ arises naturally, and it is a $(G, 2)$-point-transitive a"},"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":"1908.01273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-04T05:01:16Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"67b863eb3a496ef9d80ef7fb414f9efb081c155e7253591ded4575b32cb2c670","abstract_canon_sha256":"1134da54fd24e2b43e60f2faed5a65c8827fcca438aa88dc78eb0f465cc0ea5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:51:28.782979Z","signature_b64":"5+OSzBn5K0WH17fBKxGbgPtH3tMaKHpv5PZXO2PD4KGUnuYUkLJpbXw7355VaIeKgWgQS149eNlgzPUufd6MAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23a59c2d68c52d2b57d39ef3bdc5c6289e68261c146073bc7fd21d300a58085e","last_reissued_at":"2026-07-04T23:51:28.782554Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:51:28.782554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Affine flag graphs and classification of a family of symmetric graphs with complete quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Sanming Zhou, Teng Fang, Yu Qing Chen","submitted_at":"2019-08-04T05:01:16Z","abstract_excerpt":"A graph $\\Gamma$ is $G$-symmetric if $G$ is a group of automorphisms of $\\Gamma$ which is transitive on the set of ordered pairs of adjacent vertices of $\\Gamma$. If $V(\\Gamma)$ admits a nontrivial $G$-invariant partition ${\\cal B}$ such that for blocks $B, C \\in {\\cal B}$ adjacent in the quotient graph $\\Gamma_{{\\cal B}}$ of $\\Gamma$ relative to ${\\cal B}$, exactly one vertex of $B$ has no neighbour in $C$, then $\\Gamma$ is called an almost multicover of $\\Gamma_{{\\cal B}}$. In this case an incidence structure with point set ${\\cal B}$ arises naturally, and it is a $(G, 2)$-point-transitive a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01273","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/1908.01273/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":"1908.01273","created_at":"2026-07-04T23:51:28.782610+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.01273v1","created_at":"2026-07-04T23:51:28.782610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01273","created_at":"2026-07-04T23:51:28.782610+00:00"},{"alias_kind":"pith_short_12","alias_value":"EOSZYLLIYUWS","created_at":"2026-07-04T23:51:28.782610+00:00"},{"alias_kind":"pith_short_16","alias_value":"EOSZYLLIYUWSWV6T","created_at":"2026-07-04T23:51:28.782610+00:00"},{"alias_kind":"pith_short_8","alias_value":"EOSZYLLI","created_at":"2026-07-04T23:51:28.782610+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/EOSZYLLIYUWSWV6TT3Z33ROGFC","json":"https://pith.science/pith/EOSZYLLIYUWSWV6TT3Z33ROGFC.json","graph_json":"https://pith.science/api/pith-number/EOSZYLLIYUWSWV6TT3Z33ROGFC/graph.json","events_json":"https://pith.science/api/pith-number/EOSZYLLIYUWSWV6TT3Z33ROGFC/events.json","paper":"https://pith.science/paper/EOSZYLLI"},"agent_actions":{"view_html":"https://pith.science/pith/EOSZYLLIYUWSWV6TT3Z33ROGFC","download_json":"https://pith.science/pith/EOSZYLLIYUWSWV6TT3Z33ROGFC.json","view_paper":"https://pith.science/paper/EOSZYLLI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.01273&json=true","fetch_graph":"https://pith.science/api/pith-number/EOSZYLLIYUWSWV6TT3Z33ROGFC/graph.json","fetch_events":"https://pith.science/api/pith-number/EOSZYLLIYUWSWV6TT3Z33ROGFC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EOSZYLLIYUWSWV6TT3Z33ROGFC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EOSZYLLIYUWSWV6TT3Z33ROGFC/action/storage_attestation","attest_author":"https://pith.science/pith/EOSZYLLIYUWSWV6TT3Z33ROGFC/action/author_attestation","sign_citation":"https://pith.science/pith/EOSZYLLIYUWSWV6TT3Z33ROGFC/action/citation_signature","submit_replication":"https://pith.science/pith/EOSZYLLIYUWSWV6TT3Z33ROGFC/action/replication_record"}},"created_at":"2026-07-04T23:51:28.782610+00:00","updated_at":"2026-07-04T23:51:28.782610+00:00"}