{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SGHBPZGJOOLGWBU7EKH6FGDK77","short_pith_number":"pith:SGHBPZGJ","canonical_record":{"source":{"id":"1611.06662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-11-21T06:16:04Z","cross_cats_sorted":["physics.data-an","quant-ph"],"title_canon_sha256":"9854801e780bff2a2633bf1f4ad2596faf45a4c7b512c15fbf00c42fb82d42b4","abstract_canon_sha256":"aa1dd4edf97e66cd6884773c9edccd04853d84dc0928824829834b9de7743ac6"},"schema_version":"1.0"},"canonical_sha256":"918e17e4c973966b069f228fe2986affe3ad0f9a16575fd490853b6a5bb543a7","source":{"kind":"arxiv","id":"1611.06662","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06662","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06662v1","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06662","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"pith_short_12","alias_value":"SGHBPZGJOOLG","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SGHBPZGJOOLGWBU7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SGHBPZGJ","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SGHBPZGJOOLGWBU7EKH6FGDK77","target":"record","payload":{"canonical_record":{"source":{"id":"1611.06662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-11-21T06:16:04Z","cross_cats_sorted":["physics.data-an","quant-ph"],"title_canon_sha256":"9854801e780bff2a2633bf1f4ad2596faf45a4c7b512c15fbf00c42fb82d42b4","abstract_canon_sha256":"aa1dd4edf97e66cd6884773c9edccd04853d84dc0928824829834b9de7743ac6"},"schema_version":"1.0"},"canonical_sha256":"918e17e4c973966b069f228fe2986affe3ad0f9a16575fd490853b6a5bb543a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:39.950602Z","signature_b64":"omPxnLzxD9lxBiiqhilF2X6jiJjhsYwwSPrUcPWQRYOgz4wkVZBCmwzrr/6KSs+99MKC45RwQi1HKGal0CjmBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"918e17e4c973966b069f228fe2986affe3ad0f9a16575fd490853b6a5bb543a7","last_reissued_at":"2026-05-18T00:02:39.949938Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:39.949938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.06662","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":"2026-05-18T00:02:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5dsmomHdtOZ3bFTkwSUy5+q0HMetxFT1r2CY+SnRNPJLjVurXyTeHwLWdYXYxBLGa6/azCKGetWR7sCG4k26Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:34:05.941917Z"},"content_sha256":"d65c122988c9fe751c4963817de07ac482dd4fa6383b827c7346f98a99e3934d","schema_version":"1.0","event_id":"sha256:d65c122988c9fe751c4963817de07ac482dd4fa6383b827c7346f98a99e3934d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SGHBPZGJOOLGWBU7EKH6FGDK77","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lattice topology dictates photon statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an","quant-ph"],"primary_cat":"physics.optics","authors_text":"Ayman F. Abouraddy, Bahaa E. A. Saleh, H. Esat Kondakci","submitted_at":"2016-11-21T06:16:04Z","abstract_excerpt":"Propagation of coherent light through a disordered network is accompanied by randomization and possible conversion into thermal light. Here, we show that network topology plays a decisive role in determining the statistics of the emerging field if the underlying lattice satisfies chiral symmetry. By examining one-dimensional arrays of randomly coupled waveguides arranged on linear and ring topologies, we are led to a remarkable prediction: the field circularity and the photon statistics in ring lattices are dictated by its parity -- whether the number of sites is even or odd, while the same qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06662","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":""},"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":"2026-05-18T00:02:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zztQSqlLX0mV2zUt3AtRl35lbSDDute/nRwzsE5dbkdAHGUjKfIfsOBKUr9s8AXROdruAmwlEECzUqJjV+sUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:34:05.942267Z"},"content_sha256":"2ad41727fbfaf1a245f679e6121ed3a91863ff8a58ff233d3fe9ae72441c89b1","schema_version":"1.0","event_id":"sha256:2ad41727fbfaf1a245f679e6121ed3a91863ff8a58ff233d3fe9ae72441c89b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGHBPZGJOOLGWBU7EKH6FGDK77/bundle.json","state_url":"https://pith.science/pith/SGHBPZGJOOLGWBU7EKH6FGDK77/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGHBPZGJOOLGWBU7EKH6FGDK77/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":"2026-06-04T08:34:05Z","links":{"resolver":"https://pith.science/pith/SGHBPZGJOOLGWBU7EKH6FGDK77","bundle":"https://pith.science/pith/SGHBPZGJOOLGWBU7EKH6FGDK77/bundle.json","state":"https://pith.science/pith/SGHBPZGJOOLGWBU7EKH6FGDK77/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGHBPZGJOOLGWBU7EKH6FGDK77/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SGHBPZGJOOLGWBU7EKH6FGDK77","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":"aa1dd4edf97e66cd6884773c9edccd04853d84dc0928824829834b9de7743ac6","cross_cats_sorted":["physics.data-an","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-11-21T06:16:04Z","title_canon_sha256":"9854801e780bff2a2633bf1f4ad2596faf45a4c7b512c15fbf00c42fb82d42b4"},"schema_version":"1.0","source":{"id":"1611.06662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06662","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06662v1","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06662","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"pith_short_12","alias_value":"SGHBPZGJOOLG","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SGHBPZGJOOLGWBU7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SGHBPZGJ","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:2ad41727fbfaf1a245f679e6121ed3a91863ff8a58ff233d3fe9ae72441c89b1","target":"graph","created_at":"2026-05-18T00:02:39Z","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":"Propagation of coherent light through a disordered network is accompanied by randomization and possible conversion into thermal light. Here, we show that network topology plays a decisive role in determining the statistics of the emerging field if the underlying lattice satisfies chiral symmetry. By examining one-dimensional arrays of randomly coupled waveguides arranged on linear and ring topologies, we are led to a remarkable prediction: the field circularity and the photon statistics in ring lattices are dictated by its parity -- whether the number of sites is even or odd, while the same qu","authors_text":"Ayman F. Abouraddy, Bahaa E. A. Saleh, H. Esat Kondakci","cross_cats":["physics.data-an","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-11-21T06:16:04Z","title":"Lattice topology dictates photon statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06662","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:d65c122988c9fe751c4963817de07ac482dd4fa6383b827c7346f98a99e3934d","target":"record","created_at":"2026-05-18T00:02:39Z","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":"aa1dd4edf97e66cd6884773c9edccd04853d84dc0928824829834b9de7743ac6","cross_cats_sorted":["physics.data-an","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-11-21T06:16:04Z","title_canon_sha256":"9854801e780bff2a2633bf1f4ad2596faf45a4c7b512c15fbf00c42fb82d42b4"},"schema_version":"1.0","source":{"id":"1611.06662","kind":"arxiv","version":1}},"canonical_sha256":"918e17e4c973966b069f228fe2986affe3ad0f9a16575fd490853b6a5bb543a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"918e17e4c973966b069f228fe2986affe3ad0f9a16575fd490853b6a5bb543a7","first_computed_at":"2026-05-18T00:02:39.949938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:39.949938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"omPxnLzxD9lxBiiqhilF2X6jiJjhsYwwSPrUcPWQRYOgz4wkVZBCmwzrr/6KSs+99MKC45RwQi1HKGal0CjmBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:39.950602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d65c122988c9fe751c4963817de07ac482dd4fa6383b827c7346f98a99e3934d","sha256:2ad41727fbfaf1a245f679e6121ed3a91863ff8a58ff233d3fe9ae72441c89b1"],"state_sha256":"02a8ee7c1321a4c8089fd4d07b5a2294a2d98bca9dfee0dd73b589edf621fd0a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UM+XXZdSuop/Ke1uTN03hNlgbQ23pbgCesxiCT8/pEkwvpmg/8uxa9FIwJH834pC2riQZg4MD+O/7TuaM7BaDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T08:34:05.944371Z","bundle_sha256":"773d6142ca17c572354d431f71f23f1cff9d76b89f13cf667114b980681ac63f"}}