{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CFI4SK4K5AI3QHHSLVV6MQCQL4","short_pith_number":"pith:CFI4SK4K","canonical_record":{"source":{"id":"1501.06315","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-01-26T10:29:55Z","cross_cats_sorted":[],"title_canon_sha256":"bd204f14ab8afd3c7a92cf33fa36f5d1811628c28c6547b385d5c06baa8d6f1e","abstract_canon_sha256":"f76fd5f2e1b89d4ed1881b13ce42c96af8879888be9ec78edf2a681ce74c7209"},"schema_version":"1.0"},"canonical_sha256":"1151c92b8ae811b81cf25d6be640505f146ed40ea10874e586a4a0cba072317a","source":{"kind":"arxiv","id":"1501.06315","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06315","created_at":"2026-05-18T02:28:41Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06315v1","created_at":"2026-05-18T02:28:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06315","created_at":"2026-05-18T02:28:41Z"},{"alias_kind":"pith_short_12","alias_value":"CFI4SK4K5AI3","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CFI4SK4K5AI3QHHS","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CFI4SK4K","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CFI4SK4K5AI3QHHSLVV6MQCQL4","target":"record","payload":{"canonical_record":{"source":{"id":"1501.06315","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-01-26T10:29:55Z","cross_cats_sorted":[],"title_canon_sha256":"bd204f14ab8afd3c7a92cf33fa36f5d1811628c28c6547b385d5c06baa8d6f1e","abstract_canon_sha256":"f76fd5f2e1b89d4ed1881b13ce42c96af8879888be9ec78edf2a681ce74c7209"},"schema_version":"1.0"},"canonical_sha256":"1151c92b8ae811b81cf25d6be640505f146ed40ea10874e586a4a0cba072317a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:41.768186Z","signature_b64":"d5+3VK61rjEGEpPzUJ4l2wDijQPhqHKZQYp3+ZAQXptSlCurLGJGgtiRw/8x8g6KsvRMTeuwe9gmZtoXEBhMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1151c92b8ae811b81cf25d6be640505f146ed40ea10874e586a4a0cba072317a","last_reissued_at":"2026-05-18T02:28:41.767640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:41.767640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.06315","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:28:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l3eHnpPG8SpdaHTcnO6OAsMJwSRHUuJJ6oRnu5sztTjrBeWEwKpwQxwXL9B/iuAwPBbMiGUlOre1Y/mEGz9VAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:28:06.121481Z"},"content_sha256":"46dce261ed76512cb6b7e887d3f00db3c3d21c44b1f98ae683cc7ddb92637973","schema_version":"1.0","event_id":"sha256:46dce261ed76512cb6b7e887d3f00db3c3d21c44b1f98ae683cc7ddb92637973"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CFI4SK4K5AI3QHHSLVV6MQCQL4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On circular-arc graphs with association schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Amir Rahnamai Barghi, Fatemeh Raei Barandagh","submitted_at":"2015-01-26T10:29:55Z","abstract_excerpt":"In this paper, we give a characterization of the class of all circular-arc graphs whose schemes are association. Moreover, all association schemes which are the scheme of a circular-arc graph are characterized, specially it is proved that they are Schurian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06315","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:28:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zl1LM6XdreknTFCWYyUHYtGrm4RWmROyKS35+ghZ17Isqt1wLLxA911riacfrVsa9dUzOphyUNe5pOtjNujcAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:28:06.121839Z"},"content_sha256":"55067d07cda3ed692c5178b3470590cfe0b182b6b6d086e95f0843e827aa069d","schema_version":"1.0","event_id":"sha256:55067d07cda3ed692c5178b3470590cfe0b182b6b6d086e95f0843e827aa069d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CFI4SK4K5AI3QHHSLVV6MQCQL4/bundle.json","state_url":"https://pith.science/pith/CFI4SK4K5AI3QHHSLVV6MQCQL4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CFI4SK4K5AI3QHHSLVV6MQCQL4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T19:28:06Z","links":{"resolver":"https://pith.science/pith/CFI4SK4K5AI3QHHSLVV6MQCQL4","bundle":"https://pith.science/pith/CFI4SK4K5AI3QHHSLVV6MQCQL4/bundle.json","state":"https://pith.science/pith/CFI4SK4K5AI3QHHSLVV6MQCQL4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CFI4SK4K5AI3QHHSLVV6MQCQL4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CFI4SK4K5AI3QHHSLVV6MQCQL4","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":"f76fd5f2e1b89d4ed1881b13ce42c96af8879888be9ec78edf2a681ce74c7209","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-01-26T10:29:55Z","title_canon_sha256":"bd204f14ab8afd3c7a92cf33fa36f5d1811628c28c6547b385d5c06baa8d6f1e"},"schema_version":"1.0","source":{"id":"1501.06315","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06315","created_at":"2026-05-18T02:28:41Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06315v1","created_at":"2026-05-18T02:28:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06315","created_at":"2026-05-18T02:28:41Z"},{"alias_kind":"pith_short_12","alias_value":"CFI4SK4K5AI3","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CFI4SK4K5AI3QHHS","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CFI4SK4K","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:55067d07cda3ed692c5178b3470590cfe0b182b6b6d086e95f0843e827aa069d","target":"graph","created_at":"2026-05-18T02:28:41Z","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":"In this paper, we give a characterization of the class of all circular-arc graphs whose schemes are association. Moreover, all association schemes which are the scheme of a circular-arc graph are characterized, specially it is proved that they are Schurian.","authors_text":"Amir Rahnamai Barghi, Fatemeh Raei Barandagh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-01-26T10:29:55Z","title":"On circular-arc graphs with association schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06315","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":"sha256:46dce261ed76512cb6b7e887d3f00db3c3d21c44b1f98ae683cc7ddb92637973","target":"record","created_at":"2026-05-18T02:28:41Z","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":"f76fd5f2e1b89d4ed1881b13ce42c96af8879888be9ec78edf2a681ce74c7209","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-01-26T10:29:55Z","title_canon_sha256":"bd204f14ab8afd3c7a92cf33fa36f5d1811628c28c6547b385d5c06baa8d6f1e"},"schema_version":"1.0","source":{"id":"1501.06315","kind":"arxiv","version":1}},"canonical_sha256":"1151c92b8ae811b81cf25d6be640505f146ed40ea10874e586a4a0cba072317a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1151c92b8ae811b81cf25d6be640505f146ed40ea10874e586a4a0cba072317a","first_computed_at":"2026-05-18T02:28:41.767640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:41.767640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d5+3VK61rjEGEpPzUJ4l2wDijQPhqHKZQYp3+ZAQXptSlCurLGJGgtiRw/8x8g6KsvRMTeuwe9gmZtoXEBhMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:41.768186Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06315","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46dce261ed76512cb6b7e887d3f00db3c3d21c44b1f98ae683cc7ddb92637973","sha256:55067d07cda3ed692c5178b3470590cfe0b182b6b6d086e95f0843e827aa069d"],"state_sha256":"5c5a873307e8faf823eb81b1655607f11047abd433add2e002cfff57575a8287"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8JeqBGBv6ZUZKqggof3m97wJu+ODhjT6hsbS/iKGuRpg2PPJr0ZeT65kgqEPFICRHnJChmAfNxE95AjpIt3xCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T19:28:06.123751Z","bundle_sha256":"dd4770f226bcc2cb643d8006bdffb87943a664d031dcef5f665392ebd45ec5a2"}}