{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WPQYIGAXPAPCH33J4T4TTM47MP","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":"068719e417f8d5be18395f0c9484a76f093a95b6ab0db3f57a73477e08bcc553","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2024-03-24T04:46:49Z","title_canon_sha256":"3f6b3ee1217cfc7735fe75eeb7038e955f9fd7eb3d4d7c190abbf16418a5d58d"},"schema_version":"1.0","source":{"id":"2403.16010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.16010","created_at":"2026-07-05T08:43:09Z"},{"alias_kind":"arxiv_version","alias_value":"2403.16010v1","created_at":"2026-07-05T08:43:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.16010","created_at":"2026-07-05T08:43:09Z"},{"alias_kind":"pith_short_12","alias_value":"WPQYIGAXPAPC","created_at":"2026-07-05T08:43:09Z"},{"alias_kind":"pith_short_16","alias_value":"WPQYIGAXPAPCH33J","created_at":"2026-07-05T08:43:09Z"},{"alias_kind":"pith_short_8","alias_value":"WPQYIGAX","created_at":"2026-07-05T08:43:09Z"}],"graph_snapshots":[{"event_id":"sha256:d3057e6a7a8d7a21e783921892bee365333847ea8d251733ba2bad3419f28228","target":"graph","created_at":"2026-07-05T08:43:09Z","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/2403.16010/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Aperiodic crystals constitute a fascinating class of materials that includes incommensurate (IC) modulated structures and quasicrystals (QCs). Although these two categories share a common foundation in the concept of superspace, the relationship between them has remained enigmatic and largely unexplored. Here, we show \"any metallic-mean\" QCs, surpassing the confines of Penrose-like structures, and explore their connection with IC modulated structures. In contrast to periodic approximants of QCs, our work introduces the pivotal role of \"aperiodic approximants\", articulated through a series of $","authors_text":"Akihisa Koga, Atsushi Takano, Tomonari Dotera, Toranosuke Matsubara, Yushu Matsushita","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2024-03-24T04:46:49Z","title":"Aperiodic approximants bridging quasicrystals and modulated structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.16010","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":"sha256:940405ecc4dd6df6802aa8ceb5b44ddaca719b1c6675d09ff03a6c0f4963bdd7","target":"record","created_at":"2026-07-05T08:43:09Z","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":"068719e417f8d5be18395f0c9484a76f093a95b6ab0db3f57a73477e08bcc553","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2024-03-24T04:46:49Z","title_canon_sha256":"3f6b3ee1217cfc7735fe75eeb7038e955f9fd7eb3d4d7c190abbf16418a5d58d"},"schema_version":"1.0","source":{"id":"2403.16010","kind":"arxiv","version":1}},"canonical_sha256":"b3e1841817781e23ef69e4f939b39f63d798c0b5739c45cf036d72767bd261f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3e1841817781e23ef69e4f939b39f63d798c0b5739c45cf036d72767bd261f0","first_computed_at":"2026-07-05T08:43:09.517126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:43:09.517126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"beHa7OOuxEtzn5tN/mNJ+du9/YLaSKaSsyP5sRAXS2/pAKsBhlP9W6Ygn7CVvJLmPBV/HuKjrSd5QpOC/SAsBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:43:09.517615Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.16010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:940405ecc4dd6df6802aa8ceb5b44ddaca719b1c6675d09ff03a6c0f4963bdd7","sha256:d3057e6a7a8d7a21e783921892bee365333847ea8d251733ba2bad3419f28228"],"state_sha256":"61048ab7c6e3b3f8145ada3584c8c9ba88ba49a1212553157b104d91d2fb0767"}