{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:A434J4JFI2DXFZB5TK5NTRNON5","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":"a1de6b23505cb9e80d3d4612803cd5385d3e894021aeb48a2325ac3146b09bbc","cross_cats_sorted":["physics.atom-ph","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-11T00:13:21Z","title_canon_sha256":"4568222f9c703f95a09a7f879cd69518d407c8f534a9cf1aaba46b779fc9ac1f"},"schema_version":"1.0","source":{"id":"1708.03413","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03413","created_at":"2026-05-18T00:28:35Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03413v1","created_at":"2026-05-18T00:28:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03413","created_at":"2026-05-18T00:28:35Z"},{"alias_kind":"pith_short_12","alias_value":"A434J4JFI2DX","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"A434J4JFI2DXFZB5","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"A434J4JF","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:6b1d4a4ec9d205d85127dd7c5f084c981c841e16bad4c27ad84e327ac79b7fa3","target":"graph","created_at":"2026-05-18T00:28:35Z","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":"Two-dimensional atomic arrays exhibit a number of intriguing quantum optical phenomena, including subradiance, nearly perfect reflection of radiation and long-lived topological edge states. Studies of emission and scattering of photons in such lattices require complete treatment of the radiation pattern from individual atoms, including long-range interactions. We describe a systematic approach to perform the calculations of collective energy shifts and decay rates in the presence of such long-range interactions for arbitrary two-dimensional atomic lattices. As applications of our method, we in","authors_text":"Darrick E. Chang, Hannes Pichler, Janos Perczel, Johannes Borregaard, Mikhail D. Lukin, Peter Zoller, Susanne F. Yelin","cross_cats":["physics.atom-ph","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-11T00:13:21Z","title":"Photonic Band Structure of Two-dimensional Atomic Lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03413","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":"sha256:6d6f2bc9294b838aa8be1bd8f319680b6be10bd79ad0c070fadaaaaa63e8aa7d","target":"record","created_at":"2026-05-18T00:28:35Z","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":"a1de6b23505cb9e80d3d4612803cd5385d3e894021aeb48a2325ac3146b09bbc","cross_cats_sorted":["physics.atom-ph","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-11T00:13:21Z","title_canon_sha256":"4568222f9c703f95a09a7f879cd69518d407c8f534a9cf1aaba46b779fc9ac1f"},"schema_version":"1.0","source":{"id":"1708.03413","kind":"arxiv","version":1}},"canonical_sha256":"0737c4f125468772e43d9abad9c5ae6f7e10b330914a34f88799b70d32ca9742","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0737c4f125468772e43d9abad9c5ae6f7e10b330914a34f88799b70d32ca9742","first_computed_at":"2026-05-18T00:28:35.215673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:35.215673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Zw2MjT6ckGLuLStM2iDJzcJH8ssDpxLpE5oOeAqr/+9umU1jZ96Eh31K7WK1nTwsjJpBjM1GfiPwKGcpla5CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:35.216621Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03413","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d6f2bc9294b838aa8be1bd8f319680b6be10bd79ad0c070fadaaaaa63e8aa7d","sha256:6b1d4a4ec9d205d85127dd7c5f084c981c841e16bad4c27ad84e327ac79b7fa3"],"state_sha256":"ed4a53899ef932a76fcd2d28cd0a5210d3df73884709100340497e62ac23172a"}