{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:54JUNOQ3O64VSHA7PZTQZWJRHB","short_pith_number":"pith:54JUNOQ3","schema_version":"1.0","canonical_sha256":"ef1346ba1b77b9591c1f7e670cd93138594f11735cdc701c0a6d1f178db886af","source":{"kind":"arxiv","id":"1504.00161","version":1},"attestation_state":"computed","paper":{"title":"New infinite families of directed strongly regular graphs via equitable partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"\\v{S}tefan Gy\\\"urki","submitted_at":"2015-04-01T09:32:42Z","abstract_excerpt":"In this paper we introduce a construction of directed strongly regular graphs from smaller ones using equitable partitions. Each equitable partition of a single DSRG satisfying several conditions leads to an infinite family of directed strongly regular graphs. We construct in this way dozens of infinite families. For order at most 110, we confirm the existence of DSRGs for 30 previously open parameter sets."},"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":"1504.00161","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-04-01T09:32:42Z","cross_cats_sorted":[],"title_canon_sha256":"775f34a582989e9fd2d59d0e7b80b245749222f65ec1523a1cf351b73bd65f65","abstract_canon_sha256":"703dc52859b118c72c8b65d6f454da467a4d59ad36897730a1d6c53dc6a44e98"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:44.403716Z","signature_b64":"lJijNPpyB2zizI2EfnAmLVbzIWQauPF4BF7x7uTsMIFNq4hvjKvfMOwLJ7kxs94lL0IJ5khklGjEjmljbKhwDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef1346ba1b77b9591c1f7e670cd93138594f11735cdc701c0a6d1f178db886af","last_reissued_at":"2026-05-18T02:19:44.403244Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:44.403244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New infinite families of directed strongly regular graphs via equitable partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"\\v{S}tefan Gy\\\"urki","submitted_at":"2015-04-01T09:32:42Z","abstract_excerpt":"In this paper we introduce a construction of directed strongly regular graphs from smaller ones using equitable partitions. Each equitable partition of a single DSRG satisfying several conditions leads to an infinite family of directed strongly regular graphs. We construct in this way dozens of infinite families. For order at most 110, we confirm the existence of DSRGs for 30 previously open parameter sets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00161","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":""},"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":"1504.00161","created_at":"2026-05-18T02:19:44.403311+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.00161v1","created_at":"2026-05-18T02:19:44.403311+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00161","created_at":"2026-05-18T02:19:44.403311+00:00"},{"alias_kind":"pith_short_12","alias_value":"54JUNOQ3O64V","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"54JUNOQ3O64VSHA7","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"54JUNOQ3","created_at":"2026-05-18T12:29:05.191682+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/54JUNOQ3O64VSHA7PZTQZWJRHB","json":"https://pith.science/pith/54JUNOQ3O64VSHA7PZTQZWJRHB.json","graph_json":"https://pith.science/api/pith-number/54JUNOQ3O64VSHA7PZTQZWJRHB/graph.json","events_json":"https://pith.science/api/pith-number/54JUNOQ3O64VSHA7PZTQZWJRHB/events.json","paper":"https://pith.science/paper/54JUNOQ3"},"agent_actions":{"view_html":"https://pith.science/pith/54JUNOQ3O64VSHA7PZTQZWJRHB","download_json":"https://pith.science/pith/54JUNOQ3O64VSHA7PZTQZWJRHB.json","view_paper":"https://pith.science/paper/54JUNOQ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.00161&json=true","fetch_graph":"https://pith.science/api/pith-number/54JUNOQ3O64VSHA7PZTQZWJRHB/graph.json","fetch_events":"https://pith.science/api/pith-number/54JUNOQ3O64VSHA7PZTQZWJRHB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/54JUNOQ3O64VSHA7PZTQZWJRHB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/54JUNOQ3O64VSHA7PZTQZWJRHB/action/storage_attestation","attest_author":"https://pith.science/pith/54JUNOQ3O64VSHA7PZTQZWJRHB/action/author_attestation","sign_citation":"https://pith.science/pith/54JUNOQ3O64VSHA7PZTQZWJRHB/action/citation_signature","submit_replication":"https://pith.science/pith/54JUNOQ3O64VSHA7PZTQZWJRHB/action/replication_record"}},"created_at":"2026-05-18T02:19:44.403311+00:00","updated_at":"2026-05-18T02:19:44.403311+00:00"}