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An integer additive set-indexer (IASI) of a graph $G$ is an injective function $f:V(G)\\to \\mathcal{P}(\\mathbb{N}_0)$ such that the induced function $f^+:E(G) \\to \\mathcal{P}(\\mathbb{N}_0)$ defined by $f^+ (uv) = f(u)+ f(v)$ is also injective, where $f(u)+f(v)$ is the sum set of $f(u)$ and $f(v)$. An integer additive set-indexer $f$ is said to be a weak integer additive set-indexer (weak IASI) if $|f^+(uv)|=\\max(|f(u)|,|f(v)|)~\\forall ~ uv\\in E(G)$. The minimum number of singleton se"},"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":"1505.04854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2015-05-19T02:37:25Z","cross_cats_sorted":[],"title_canon_sha256":"e77cd9f3dae3b9b812c42c1896fbda7a8b87847bbc73c6df852bf3368db2b432","abstract_canon_sha256":"825a32d4716131fd1d134f530c3fd3547a92204eacfa98d98ff0ac54580679ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:59.361834Z","signature_b64":"jTYCYHSXdSSMYZkhjJLvs6t4vlp8pJ7cQgfh4h+duH7drUt2rWgDKr34RO31HNwuJiY1tnaxYnZdEVBIOXj5Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a832570196f4df07c90455bbbf0a43a740cad8b8cc73de46580bb74420498ddf","last_reissued_at":"2026-05-18T02:03:59.361071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:59.361071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Sparing Number of the Edge-Corona of Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"K. A. Germina, K. P. Chithra, N. K. Sudev","submitted_at":"2015-05-19T02:37:25Z","abstract_excerpt":"Let $\\mathbb{N}_0$ be the set of all non-negative integers and $\\mathcal{P}(\\mathbb{N}_0)$ be its the power set. An integer additive set-indexer (IASI) of a graph $G$ is an injective function $f:V(G)\\to \\mathcal{P}(\\mathbb{N}_0)$ such that the induced function $f^+:E(G) \\to \\mathcal{P}(\\mathbb{N}_0)$ defined by $f^+ (uv) = f(u)+ f(v)$ is also injective, where $f(u)+f(v)$ is the sum set of $f(u)$ and $f(v)$. An integer additive set-indexer $f$ is said to be a weak integer additive set-indexer (weak IASI) if $|f^+(uv)|=\\max(|f(u)|,|f(v)|)~\\forall ~ uv\\in E(G)$. 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