{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GGOXOGQHDVCLXTXK36YYMJ6PX4","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":"3074e698634cc806adeaec0f678684677dd332b82d56b390e31397158e23c76d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-10-08T23:40:52Z","title_canon_sha256":"01f380018433895405ea99bcd845223b6b1cabc0c320fac7287e50654e9958c2"},"schema_version":"1.0","source":{"id":"1610.02597","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02597","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02597v1","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02597","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"GGOXOGQHDVCL","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GGOXOGQHDVCLXTXK","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GGOXOGQH","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:95081811831e64f7850f073fca8387257a0877934c3b7c9780fcac095cd0de7c","target":"graph","created_at":"2026-05-18T00:34:35Z","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"},"paper":{"abstract_excerpt":"We establish a link between the fractional Schr\\\"odinger equation (FSE) and light propagation in the honeycomb lattice (HCL) - the Dirac-Weyl equation (DWE). The fractional Laplacian in FSE causes a modulation of the dispersion relation of the system, which in the limiting case becomes linear. In the HCL, the dispersion relation is already linear around the Dirac point, suggesting a possible connection with the FSE. Here, we demonstrate this connection by describing light propagation in both FSE and HCL, using DWE. Thus, we propagate Gaussian beams according to FSE, HCL around the Dirac point,","authors_text":"Da Zhang, Fuli Li, Milivoj R. Beli\\'c, Min Xiao, Noor Ahmed, Yanpeng Zhang, Yiqi Zhang, Zhaoyang Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-10-08T23:40:52Z","title":"Unveiling the link between fractional Schr\\\"odinger equation and light propagation in honeycomb lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02597","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":"sha256:25f64742f90afdc6ece1befe32a27f3560fa77ea5d4b355ec53ee88c53621ff1","target":"record","created_at":"2026-05-18T00:34:35Z","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":"3074e698634cc806adeaec0f678684677dd332b82d56b390e31397158e23c76d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-10-08T23:40:52Z","title_canon_sha256":"01f380018433895405ea99bcd845223b6b1cabc0c320fac7287e50654e9958c2"},"schema_version":"1.0","source":{"id":"1610.02597","kind":"arxiv","version":1}},"canonical_sha256":"319d771a071d44bbceeadfb18627cfbf1145be883800ed55208d6d3370996eb7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"319d771a071d44bbceeadfb18627cfbf1145be883800ed55208d6d3370996eb7","first_computed_at":"2026-05-18T00:34:35.292946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:35.292946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gq3BCxvZbO6bjA/hdrKOH2WNEw3dzLJOfzz1UIiQYla89tO5Tsio3+MzbBE3Cy5i6t/NGi3Vmr9gWjE2LheUAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:35.293399Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.02597","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25f64742f90afdc6ece1befe32a27f3560fa77ea5d4b355ec53ee88c53621ff1","sha256:95081811831e64f7850f073fca8387257a0877934c3b7c9780fcac095cd0de7c"],"state_sha256":"6dd835823a46a63500d931b736b7abd1cfcb7a460ab0c0ed8767236b4d6939d4"}