{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YV3TSBGYV42HY7OQDD3NWMNQQR","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":"3eea9cb3e31d183b0f8442ab6031c6866808dbc609d4c760b9871882537589fe","cross_cats_sorted":["math-ph","math.MP","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-21T16:27:38Z","title_canon_sha256":"05d55d9c03a6cebdf484f19ed5c583503895cb870f6c6fae835245b64c0ed0d0"},"schema_version":"1.0","source":{"id":"1711.07881","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07881","created_at":"2026-07-05T10:09:37Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07881v2","created_at":"2026-07-05T10:09:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07881","created_at":"2026-07-05T10:09:37Z"},{"alias_kind":"pith_short_12","alias_value":"YV3TSBGYV42H","created_at":"2026-07-05T10:09:37Z"},{"alias_kind":"pith_short_16","alias_value":"YV3TSBGYV42HY7OQ","created_at":"2026-07-05T10:09:37Z"},{"alias_kind":"pith_short_8","alias_value":"YV3TSBGY","created_at":"2026-07-05T10:09:37Z"}],"graph_snapshots":[{"event_id":"sha256:093ad1564818da29f3d30936c78611d741fe1a952fa5285f9efd6b266921f2c9","target":"graph","created_at":"2026-07-05T10:09:37Z","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/1711.07881/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a periodic infinite chain of finite generalisations of the exceptional structures, including e8, the exceptional Jordan algebra (and pair), and the octonions. We demonstrate that the exceptional Jordan algebra is part of an infinite family of finite-dimensional matrix algebras (corresponding to a particular class of cubic Vinberg's T-algebras). Correspondingly, we prove that e8 is part of an infinite family of algebras (dubbed \"Magic Star\" algebras) that resemble lattice vertex algebras.","authors_text":"Alessio Marrani, Michael Rios, Piero Truini","cross_cats":["math-ph","math.MP","math.RA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-21T16:27:38Z","title":"The Magic Star of Exceptional Periodicity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07881","kind":"arxiv","version":2},"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":"sha256:2f1b3a7814f8fadfd7e8fa946aea40461c19682de993ddaf486ea2d5218e21c0","target":"record","created_at":"2026-07-05T10:09:37Z","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":"3eea9cb3e31d183b0f8442ab6031c6866808dbc609d4c760b9871882537589fe","cross_cats_sorted":["math-ph","math.MP","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-21T16:27:38Z","title_canon_sha256":"05d55d9c03a6cebdf484f19ed5c583503895cb870f6c6fae835245b64c0ed0d0"},"schema_version":"1.0","source":{"id":"1711.07881","kind":"arxiv","version":2}},"canonical_sha256":"c5773904d8af347c7dd018f6db31b08477d0744b4902c05d5ed0d402903c5b82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5773904d8af347c7dd018f6db31b08477d0744b4902c05d5ed0d402903c5b82","first_computed_at":"2026-07-05T10:09:37.587067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:09:37.587067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DnEkJuPxAhlxAZ4Z/l7yfz6oOV1grmHuHp7kpc4IVS8KwPKpDcV9yRSZ3bTK+djUEoowC3iK6mYSEclwsOu9Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:09:37.587491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.07881","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f1b3a7814f8fadfd7e8fa946aea40461c19682de993ddaf486ea2d5218e21c0","sha256:093ad1564818da29f3d30936c78611d741fe1a952fa5285f9efd6b266921f2c9"],"state_sha256":"7b0c438272e311a23b548fe17715688a5feb722b7d978527388a9a9dcda5ba4e"}