{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:E5QDB3YEI5UOFXKFAIW7OEGXOM","short_pith_number":"pith:E5QDB3YE","schema_version":"1.0","canonical_sha256":"276030ef044768e2dd45022df710d773020b622fc2a64238e816e9723570260a","source":{"kind":"arxiv","id":"1608.00856","version":1},"attestation_state":"computed","paper":{"title":"On the Vertex In-Degrees of Certain Jaco-Type Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Johan Kok, K. A. Germina, K. P. Chithra, N. K. Sudev, U. Mary","submitted_at":"2016-08-01T15:50:02Z","abstract_excerpt":"The concepts of linear Jaco graphs and Jaco-type graphs have been introduced as certain types of directed graphs with specifically defined adjacency conditions. The distinct difference between a pure Jaco graph and a Jaco-type graph is that for a pure Jaco graph, the total vertex degree $d(v)$ is well-defined, while for a Jaco-type graph the vertex out-degree $d^+(v)$ is well-defined. Hence, in the case of pure Jaco graphs a challenge is to determine $d^-(v)$ and $d^+(v)$ respectively and for Jaco-type graphs a challenge is to determine $d^-(v)$. In this paper, the vertex in-degrees for Fibona"},"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":"1608.00856","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-08-01T15:50:02Z","cross_cats_sorted":[],"title_canon_sha256":"effb539493d58cde6824534f0a786f3a64b8bfaf6b2f0aae8dff48616a1df554","abstract_canon_sha256":"648a9b09f9d5400638a9d0626120b3b74f37a64402ff6c004c6131afbf9b1258"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:00.716601Z","signature_b64":"CGcE/lrofdv9EveN7s+sFKRL4hVe6KtuC7AWriW4GFFV+ha8QI8bBVNf3kEI6LGOZYFUag3adRC/zEFAX99yDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"276030ef044768e2dd45022df710d773020b622fc2a64238e816e9723570260a","last_reissued_at":"2026-05-18T01:10:00.715905Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:00.715905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Vertex In-Degrees of Certain Jaco-Type Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Johan Kok, K. A. Germina, K. P. Chithra, N. K. Sudev, U. Mary","submitted_at":"2016-08-01T15:50:02Z","abstract_excerpt":"The concepts of linear Jaco graphs and Jaco-type graphs have been introduced as certain types of directed graphs with specifically defined adjacency conditions. The distinct difference between a pure Jaco graph and a Jaco-type graph is that for a pure Jaco graph, the total vertex degree $d(v)$ is well-defined, while for a Jaco-type graph the vertex out-degree $d^+(v)$ is well-defined. Hence, in the case of pure Jaco graphs a challenge is to determine $d^-(v)$ and $d^+(v)$ respectively and for Jaco-type graphs a challenge is to determine $d^-(v)$. In this paper, the vertex in-degrees for Fibona"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00856","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":"1608.00856","created_at":"2026-05-18T01:10:00.716019+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.00856v1","created_at":"2026-05-18T01:10:00.716019+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00856","created_at":"2026-05-18T01:10:00.716019+00:00"},{"alias_kind":"pith_short_12","alias_value":"E5QDB3YEI5UO","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"E5QDB3YEI5UOFXKF","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"E5QDB3YE","created_at":"2026-05-18T12:30:12.583610+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/E5QDB3YEI5UOFXKFAIW7OEGXOM","json":"https://pith.science/pith/E5QDB3YEI5UOFXKFAIW7OEGXOM.json","graph_json":"https://pith.science/api/pith-number/E5QDB3YEI5UOFXKFAIW7OEGXOM/graph.json","events_json":"https://pith.science/api/pith-number/E5QDB3YEI5UOFXKFAIW7OEGXOM/events.json","paper":"https://pith.science/paper/E5QDB3YE"},"agent_actions":{"view_html":"https://pith.science/pith/E5QDB3YEI5UOFXKFAIW7OEGXOM","download_json":"https://pith.science/pith/E5QDB3YEI5UOFXKFAIW7OEGXOM.json","view_paper":"https://pith.science/paper/E5QDB3YE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.00856&json=true","fetch_graph":"https://pith.science/api/pith-number/E5QDB3YEI5UOFXKFAIW7OEGXOM/graph.json","fetch_events":"https://pith.science/api/pith-number/E5QDB3YEI5UOFXKFAIW7OEGXOM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E5QDB3YEI5UOFXKFAIW7OEGXOM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E5QDB3YEI5UOFXKFAIW7OEGXOM/action/storage_attestation","attest_author":"https://pith.science/pith/E5QDB3YEI5UOFXKFAIW7OEGXOM/action/author_attestation","sign_citation":"https://pith.science/pith/E5QDB3YEI5UOFXKFAIW7OEGXOM/action/citation_signature","submit_replication":"https://pith.science/pith/E5QDB3YEI5UOFXKFAIW7OEGXOM/action/replication_record"}},"created_at":"2026-05-18T01:10:00.716019+00:00","updated_at":"2026-05-18T01:10:00.716019+00:00"}