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E(G)}f(xy)$ over all edges $xy$ is a bijection from $V$ to $\\{0,\\pm 1,\\pm 2...,\\pm \\frac{p-1}{2}\\}$ when $p$ is odd and from $V$ to $\\{\\pm 1,\\pm 2,...,\\pm \\frac{p}{2}\\}$ when $p$ is even. \\indent We prove that all paths $P_n$ except $P_2$ and $P_4$ are super edge-graceful."},"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":"0804.3640","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.CO","submitted_at":"2008-04-23T05:02:06Z","cross_cats_sorted":[],"title_canon_sha256":"5cd71d96538a7faea99ea0876b0dab676bbafdc8e8ffdef883ea841c7c7424a3","abstract_canon_sha256":"53955852cb05c882238dcd6aa685b5a977982865eee7bb161cd081a241ee9a28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:38.526999Z","signature_b64":"S1R/0vrELoele629548KKe6JSVM7lhti7Qo/1kmOYTkwDrEn4ttpM5srnzz9ayqsfSSUOSliHHzj89mLs/l3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c564b3ec270f8ede0fb92fef0f24cf2936b5904d1b5303ea4214bbddc3c1191","last_reissued_at":"2026-05-18T03:58:38.526536Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:38.526536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Super edge-graceful paths","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Dalibor Froncek, Sylwia Cichacz, Wenjie Xu","submitted_at":"2008-04-23T05:02:06Z","abstract_excerpt":"A graph $G(V,E)$ of order $|V|=p$ and size $|E|=q$ is called super edge-graceful if there is a bijection $f$ from $E$ to $\\{0,\\pm 1,\\pm 2,...,\\pm \\frac{q-1}{2}\\}$ when $q$ is odd and from $E$ to $\\{\\pm 1,\\pm 2,...,\\pm \\frac{q}{2}\\}$ when $q$ is even such that the induced vertex labeling $f^*$ defined by $f^*(x) = \\sum_{xy\\in E(G)}f(xy)$ over all edges $xy$ is a bijection from $V$ to $\\{0,\\pm 1,\\pm 2...,\\pm \\frac{p-1}{2}\\}$ when $p$ is odd and from $V$ to $\\{\\pm 1,\\pm 2,...,\\pm \\frac{p}{2}\\}$ when $p$ is even. \\indent We prove that all paths $P_n$ except $P_2$ and $P_4$ are super 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