{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LWCHOOI75XKFN4SZ6FHWBIPP6T","short_pith_number":"pith:LWCHOOI7","canonical_record":{"source":{"id":"1605.04241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-05-08T21:24:06Z","cross_cats_sorted":[],"title_canon_sha256":"daa329bf29b8c33ce36e79d1a8dc256c4f5ad1c5b2fdfd16492908463223c05e","abstract_canon_sha256":"55420909f9def7f1afeaee46ff5f3af9b8131110d238aae2fc80fb68c2ba8540"},"schema_version":"1.0"},"canonical_sha256":"5d8477391fedd456f259f14f60a1eff4f6bf66bb6d38ab274261fea89f437449","source":{"kind":"arxiv","id":"1605.04241","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04241","created_at":"2026-05-18T01:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04241v1","created_at":"2026-05-18T01:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04241","created_at":"2026-05-18T01:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"LWCHOOI75XKF","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LWCHOOI75XKFN4SZ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LWCHOOI7","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LWCHOOI75XKFN4SZ6FHWBIPP6T","target":"record","payload":{"canonical_record":{"source":{"id":"1605.04241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-05-08T21:24:06Z","cross_cats_sorted":[],"title_canon_sha256":"daa329bf29b8c33ce36e79d1a8dc256c4f5ad1c5b2fdfd16492908463223c05e","abstract_canon_sha256":"55420909f9def7f1afeaee46ff5f3af9b8131110d238aae2fc80fb68c2ba8540"},"schema_version":"1.0"},"canonical_sha256":"5d8477391fedd456f259f14f60a1eff4f6bf66bb6d38ab274261fea89f437449","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:53.925035Z","signature_b64":"yTdcCU1DJ6Wrz1w9Tu8S8vYw4JR7UltSg4ZGmGLaBm7uJay7V0Qe1chCz74EWa/6UDgqRyDRT7dv08bNgiusCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d8477391fedd456f259f14f60a1eff4f6bf66bb6d38ab274261fea89f437449","last_reissued_at":"2026-05-18T01:14:53.924506Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:53.924506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.04241","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":"2026-05-18T01:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DusNrf9+9q1XnBXbtqQA0JmrPuIztQRcZSSnn2a2oOSaahN/eLxMnbh2M/eOn8qpA+mGA/V8UE+CVPaAMotxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T09:47:20.383016Z"},"content_sha256":"41df3d774f39ed0c035ee82766239c04915178911557c28d0aef2376e04fcf7a","schema_version":"1.0","event_id":"sha256:41df3d774f39ed0c035ee82766239c04915178911557c28d0aef2376e04fcf7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LWCHOOI75XKFN4SZ6FHWBIPP6T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Power Transmittance of a Laterally Shifted Gaussian Beam through a Circular Aperture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Syed Azer Reza, Tariq Shamim Khwaja","submitted_at":"2016-05-08T21:24:06Z","abstract_excerpt":"Gaussian beams are often used in optical systems. The fundamental Gaussian TEM00 mode is the most common of the Gaussian modes present in various optical devices, systems and equipment. Within an optical system, it is common that this Gaussian TEM00 beam passes through a circular aperture of a finite diameter. Such circular apertures include irises, spatial filters, circular Photo-Detectors (PDs) and optical mounts with circular rims. The magnitude of optical power passing through a finite-sized circular aperture is well-documented for cases where the Gaussian beam passes through the center of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04241","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":"2026-05-18T01:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uYM47XgjxDNmvxg/gQFaRN/hOOg+d6RhUdVhvJrCy4OjXC3xH3Fhc2k5oBH2XeOjYb10TRgPVD/wkP0qUo6xCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T09:47:20.383380Z"},"content_sha256":"644c77d205b1a0078737f62a8d859768aca8f516cc1b7ce11fdeb50fb73ce51d","schema_version":"1.0","event_id":"sha256:644c77d205b1a0078737f62a8d859768aca8f516cc1b7ce11fdeb50fb73ce51d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LWCHOOI75XKFN4SZ6FHWBIPP6T/bundle.json","state_url":"https://pith.science/pith/LWCHOOI75XKFN4SZ6FHWBIPP6T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LWCHOOI75XKFN4SZ6FHWBIPP6T/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":"2026-06-27T09:47:20Z","links":{"resolver":"https://pith.science/pith/LWCHOOI75XKFN4SZ6FHWBIPP6T","bundle":"https://pith.science/pith/LWCHOOI75XKFN4SZ6FHWBIPP6T/bundle.json","state":"https://pith.science/pith/LWCHOOI75XKFN4SZ6FHWBIPP6T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LWCHOOI75XKFN4SZ6FHWBIPP6T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LWCHOOI75XKFN4SZ6FHWBIPP6T","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":"55420909f9def7f1afeaee46ff5f3af9b8131110d238aae2fc80fb68c2ba8540","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-05-08T21:24:06Z","title_canon_sha256":"daa329bf29b8c33ce36e79d1a8dc256c4f5ad1c5b2fdfd16492908463223c05e"},"schema_version":"1.0","source":{"id":"1605.04241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04241","created_at":"2026-05-18T01:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04241v1","created_at":"2026-05-18T01:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04241","created_at":"2026-05-18T01:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"LWCHOOI75XKF","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LWCHOOI75XKFN4SZ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LWCHOOI7","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:644c77d205b1a0078737f62a8d859768aca8f516cc1b7ce11fdeb50fb73ce51d","target":"graph","created_at":"2026-05-18T01:14:53Z","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":"Gaussian beams are often used in optical systems. The fundamental Gaussian TEM00 mode is the most common of the Gaussian modes present in various optical devices, systems and equipment. Within an optical system, it is common that this Gaussian TEM00 beam passes through a circular aperture of a finite diameter. Such circular apertures include irises, spatial filters, circular Photo-Detectors (PDs) and optical mounts with circular rims. The magnitude of optical power passing through a finite-sized circular aperture is well-documented for cases where the Gaussian beam passes through the center of","authors_text":"Syed Azer Reza, Tariq Shamim Khwaja","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-05-08T21:24:06Z","title":"Power Transmittance of a Laterally Shifted Gaussian Beam through a Circular Aperture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04241","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":"sha256:41df3d774f39ed0c035ee82766239c04915178911557c28d0aef2376e04fcf7a","target":"record","created_at":"2026-05-18T01:14:53Z","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":"55420909f9def7f1afeaee46ff5f3af9b8131110d238aae2fc80fb68c2ba8540","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-05-08T21:24:06Z","title_canon_sha256":"daa329bf29b8c33ce36e79d1a8dc256c4f5ad1c5b2fdfd16492908463223c05e"},"schema_version":"1.0","source":{"id":"1605.04241","kind":"arxiv","version":1}},"canonical_sha256":"5d8477391fedd456f259f14f60a1eff4f6bf66bb6d38ab274261fea89f437449","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d8477391fedd456f259f14f60a1eff4f6bf66bb6d38ab274261fea89f437449","first_computed_at":"2026-05-18T01:14:53.924506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:53.924506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yTdcCU1DJ6Wrz1w9Tu8S8vYw4JR7UltSg4ZGmGLaBm7uJay7V0Qe1chCz74EWa/6UDgqRyDRT7dv08bNgiusCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:53.925035Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41df3d774f39ed0c035ee82766239c04915178911557c28d0aef2376e04fcf7a","sha256:644c77d205b1a0078737f62a8d859768aca8f516cc1b7ce11fdeb50fb73ce51d"],"state_sha256":"67473964d98fcde4491701978af51e43a20faba48143c60e3ef7b966bef8c4ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ynLvEpMYXwau/ibN5sdiw7kemjjcREaC8n7bzf/2fDaJSjehoQw4Y0tVWlK00isdnjYw4mxSEI5uFhsmgLWMCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T09:47:20.385394Z","bundle_sha256":"4bcd1a940c2e0d1cb169035d522a9342955872db1236cd30f9ac4d55e9fdf44f"}}