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Through the nonbinary stabilizer construction these codes define $\\text{AME}(12,5)$, $\\text{AME}(18,11)$, and $AMD(18,13)$ states, and one-party projection gives $\\text{AME}(17,11)$ and $\\text{AME}(17,13)$. The $[12,6,7]_{25}$ code, which is not monomially equivalent to a generalized Reed-Solomon code, is obtained by a systematic search without prescribed coordinate symmetry; its monomial-semilinear automorphism group acts with a regular $\\mathbb{Z}_3^2$ "},"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":"2608.05781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-06T09:15:58Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"68dc755c36ddaf0e60439152d0834e8f292675b120cba25736026382c943680c","abstract_canon_sha256":"5db5b241a4441d940892c89bd2a0c917dc390fbf5cb0497a9868b7a7d0fdf5b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T00:52:44.541678Z","signature_b64":"GUJ+nOJqTMfppcQphl25M8hoiIdgI4UZBPfwgOhIZDNqevrkX46wLSiibTYdATzF9i18lfpZi8yehvel0PFJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bf8d09b91713030b2d4b94c44044ed753aa670c6c3da8fd61de33d80a8762e7","last_reissued_at":"2026-08-07T00:52:44.539869Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T00:52:44.539869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry-guided construction and exact certification of absolutely maximally entangled states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Samuel Bevins, Yunus Bidav","submitted_at":"2026-08-06T09:15:58Z","abstract_excerpt":"We construct Hermitian self-dual maximum-distance-separable codes with parameters $[12,6,7]_{25}$, $[18,9,10]_{121}$, and $[18,9,10]_{169}$. Through the nonbinary stabilizer construction these codes define $\\text{AME}(12,5)$, $\\text{AME}(18,11)$, and $AMD(18,13)$ states, and one-party projection gives $\\text{AME}(17,11)$ and $\\text{AME}(17,13)$. 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