{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:PP4NBG4ROEYDBMWUXFGEIBCO25","short_pith_number":"pith:PP4NBG4R","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"},"canonical_sha256":"7bf8d09b91713030b2d4b94c44044ed753aa670c6c3da8fd61de33d80a8762e7","source":{"kind":"arxiv","id":"2608.05781","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.05781","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"2608.05781v1","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05781","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"PP4NBG4ROEYD","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"pith_short_16","alias_value":"PP4NBG4ROEYDBMWU","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"pith_short_8","alias_value":"PP4NBG4R","created_at":"2026-08-07T00:52:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:PP4NBG4ROEYDBMWUXFGEIBCO25","target":"record","payload":{"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"},"canonical_sha256":"7bf8d09b91713030b2d4b94c44044ed753aa670c6c3da8fd61de33d80a8762e7","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"},"source_kind":"arxiv","source_id":"2608.05781","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":"2026-08-07T00:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O56A/UiMB4wgBRskGEprW3YtbYPOj/fRnlcDSLu8okZ9WLCAPEaphThH82sFUtpoZIraEo41vMTBktaBHqxNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:00:49.186993Z"},"content_sha256":"70922ece3b7afedb9b23881040e27b045f79c3577b45dc08ad79edaaf1717051","schema_version":"1.0","event_id":"sha256:70922ece3b7afedb9b23881040e27b045f79c3577b45dc08ad79edaaf1717051"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:PP4NBG4ROEYDBMWUXFGEIBCO25","target":"graph","payload":{"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 $\\text{AME}(17,13)$. 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 $\\mathbb{Z}_3^2$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05781","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.05781/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-08-07T00:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lyaHmgaeykGQhtY7bMXfKJKtpHV6IImybgJK1EIG3U71v1cXol1AHD73RPW6fnxIdegYcLZISHZJMt3VKNJyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:00:49.187787Z"},"content_sha256":"1c55fe184c63d795c0651aad475d96161c61ca640346d64c04056a16059f4a75","schema_version":"1.0","event_id":"sha256:1c55fe184c63d795c0651aad475d96161c61ca640346d64c04056a16059f4a75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PP4NBG4ROEYDBMWUXFGEIBCO25/bundle.json","state_url":"https://pith.science/pith/PP4NBG4ROEYDBMWUXFGEIBCO25/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PP4NBG4ROEYDBMWUXFGEIBCO25/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":"2026-08-11T21:00:49Z","links":{"resolver":"https://pith.science/pith/PP4NBG4ROEYDBMWUXFGEIBCO25","bundle":"https://pith.science/pith/PP4NBG4ROEYDBMWUXFGEIBCO25/bundle.json","state":"https://pith.science/pith/PP4NBG4ROEYDBMWUXFGEIBCO25/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PP4NBG4ROEYDBMWUXFGEIBCO25/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PP4NBG4ROEYDBMWUXFGEIBCO25","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":"5db5b241a4441d940892c89bd2a0c917dc390fbf5cb0497a9868b7a7d0fdf5b6","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-06T09:15:58Z","title_canon_sha256":"68dc755c36ddaf0e60439152d0834e8f292675b120cba25736026382c943680c"},"schema_version":"1.0","source":{"id":"2608.05781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.05781","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"2608.05781v1","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05781","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"PP4NBG4ROEYD","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"pith_short_16","alias_value":"PP4NBG4ROEYDBMWU","created_at":"2026-08-07T00:52:44Z"},{"alias_kind":"pith_short_8","alias_value":"PP4NBG4R","created_at":"2026-08-07T00:52:44Z"}],"graph_snapshots":[{"event_id":"sha256:1c55fe184c63d795c0651aad475d96161c61ca640346d64c04056a16059f4a75","target":"graph","created_at":"2026-08-07T00:52:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.05781/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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 $\\text{AME}(17,13)$. 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 $\\mathbb{Z}_3^2$ ","authors_text":"Samuel Bevins, Yunus Bidav","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-06T09:15:58Z","title":"Symmetry-guided construction and exact certification of absolutely maximally entangled states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05781","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":"sha256:70922ece3b7afedb9b23881040e27b045f79c3577b45dc08ad79edaaf1717051","target":"record","created_at":"2026-08-07T00:52:44Z","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":"5db5b241a4441d940892c89bd2a0c917dc390fbf5cb0497a9868b7a7d0fdf5b6","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-06T09:15:58Z","title_canon_sha256":"68dc755c36ddaf0e60439152d0834e8f292675b120cba25736026382c943680c"},"schema_version":"1.0","source":{"id":"2608.05781","kind":"arxiv","version":1}},"canonical_sha256":"7bf8d09b91713030b2d4b94c44044ed753aa670c6c3da8fd61de33d80a8762e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bf8d09b91713030b2d4b94c44044ed753aa670c6c3da8fd61de33d80a8762e7","first_computed_at":"2026-08-07T00:52:44.539869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-07T00:52:44.539869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GUJ+nOJqTMfppcQphl25M8hoiIdgI4UZBPfwgOhIZDNqevrkX46wLSiibTYdATzF9i18lfpZi8yehvel0PFJDg==","signature_status":"signed_v1","signed_at":"2026-08-07T00:52:44.541678Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.05781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70922ece3b7afedb9b23881040e27b045f79c3577b45dc08ad79edaaf1717051","sha256:1c55fe184c63d795c0651aad475d96161c61ca640346d64c04056a16059f4a75"],"state_sha256":"213ec582e2346046b672cf9f5dc9c5b1b033e77bb7ce984ab7da7cd10575024a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sqP2eGY4VfJ0opgw8a1LVdb7O8Hk66qTQ4/83dW4HZajhG2+8CnNRcBw4hdOQfAUFjtkDL9/HRtS1xM1t4yUDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:00:49.191907Z","bundle_sha256":"0adb4f5fe15273673ed685f4704a5df7029408e4ff4413ebd3e177dfb1582b86"}}