{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:UE3AEUDYSUNVINFKZD4YKMWJYW","short_pith_number":"pith:UE3AEUDY","canonical_record":{"source":{"id":"0806.2254","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-06-13T02:30:09Z","cross_cats_sorted":[],"title_canon_sha256":"e468c39e243c843c5e78123f9a7119c809bea217f3d8677ab593d8ebba9e9fe9","abstract_canon_sha256":"5b351a410fef1cb9bae7b08cd256736879fcfbb669541b01aa232eb7f2314d50"},"schema_version":"1.0"},"canonical_sha256":"a136025078951b5434aac8f98532c9c5a6e8189347ced8a45678b343f99d7516","source":{"kind":"arxiv","id":"0806.2254","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.2254","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"0806.2254v2","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.2254","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"UE3AEUDYSUNV","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"UE3AEUDYSUNVINFK","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"UE3AEUDY","created_at":"2026-07-04T15:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:UE3AEUDYSUNVINFKZD4YKMWJYW","target":"record","payload":{"canonical_record":{"source":{"id":"0806.2254","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-06-13T02:30:09Z","cross_cats_sorted":[],"title_canon_sha256":"e468c39e243c843c5e78123f9a7119c809bea217f3d8677ab593d8ebba9e9fe9","abstract_canon_sha256":"5b351a410fef1cb9bae7b08cd256736879fcfbb669541b01aa232eb7f2314d50"},"schema_version":"1.0"},"canonical_sha256":"a136025078951b5434aac8f98532c9c5a6e8189347ced8a45678b343f99d7516","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:30:15.857016Z","signature_b64":"ofTWinBnscQYuHN/rBEDX0bfWu2Xt7VhoGh9fuJ5aQAmPCzqiYAcWBT3ypOvvOBARYB/cOKerT0pjaKO0FxpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a136025078951b5434aac8f98532c9c5a6e8189347ced8a45678b343f99d7516","last_reissued_at":"2026-07-04T15:30:15.856668Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:30:15.856668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.2254","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mKmoh0KO+3KQ4QANVHjhffgo1J+NC2ZLbyCdu2sA2NMFNYoxxpnLZHKfgBZiLsAymOX6OewO3xE3gjb+mZLYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:11:10.741851Z"},"content_sha256":"e48f2bf8f99c4fe9dfebef13bf9043d6c3969ddff042ec124b85f357c76eea27","schema_version":"1.0","event_id":"sha256:e48f2bf8f99c4fe9dfebef13bf9043d6c3969ddff042ec124b85f357c76eea27"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:UE3AEUDYSUNVINFKZD4YKMWJYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Light Beams and Mirror Shapes for Future LIGO Interferometers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mihai Bondarescu, Oleg Kogan, Yanbei Chen","submitted_at":"2008-06-13T02:30:09Z","abstract_excerpt":"We report the results of a recent search for the lowest value of thermal noise that can be achieved in LIGO by changing the shape of mirrors, while fixing the mirror radius and maintaining a low diffractional loss. The result of this minimization is a beam with thermal noise a factor of 2.32 (in power) lower than previously considered Mesa Beams and a factor of 5.45 (in power) lower than the Gaussian beams employed in the current baseline design. Mirrors that confine these beams have been found to be roughly conical in shape, with an average slope approximately equal to the mirror radius divid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.2254","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0806.2254/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T2x0YJsSP0BylWxJoeMr23XKDFh+R9a+c+Xg2feorUPmDuioQ3lJgMa8FswQYYr4B8EcHPuyv3LZKofWks2UBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:11:10.742347Z"},"content_sha256":"2705a061904f49bb082b21baa41c2513a2b266011e47f1a9c6476279ed91dca2","schema_version":"1.0","event_id":"sha256:2705a061904f49bb082b21baa41c2513a2b266011e47f1a9c6476279ed91dca2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UE3AEUDYSUNVINFKZD4YKMWJYW/bundle.json","state_url":"https://pith.science/pith/UE3AEUDYSUNVINFKZD4YKMWJYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UE3AEUDYSUNVINFKZD4YKMWJYW/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":"2026-08-04T22:11:10Z","links":{"resolver":"https://pith.science/pith/UE3AEUDYSUNVINFKZD4YKMWJYW","bundle":"https://pith.science/pith/UE3AEUDYSUNVINFKZD4YKMWJYW/bundle.json","state":"https://pith.science/pith/UE3AEUDYSUNVINFKZD4YKMWJYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UE3AEUDYSUNVINFKZD4YKMWJYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:UE3AEUDYSUNVINFKZD4YKMWJYW","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":"5b351a410fef1cb9bae7b08cd256736879fcfbb669541b01aa232eb7f2314d50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-06-13T02:30:09Z","title_canon_sha256":"e468c39e243c843c5e78123f9a7119c809bea217f3d8677ab593d8ebba9e9fe9"},"schema_version":"1.0","source":{"id":"0806.2254","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.2254","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"0806.2254v2","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.2254","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"UE3AEUDYSUNV","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"UE3AEUDYSUNVINFK","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"UE3AEUDY","created_at":"2026-07-04T15:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:2705a061904f49bb082b21baa41c2513a2b266011e47f1a9c6476279ed91dca2","target":"graph","created_at":"2026-07-04T15:30:15Z","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/0806.2254/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We report the results of a recent search for the lowest value of thermal noise that can be achieved in LIGO by changing the shape of mirrors, while fixing the mirror radius and maintaining a low diffractional loss. The result of this minimization is a beam with thermal noise a factor of 2.32 (in power) lower than previously considered Mesa Beams and a factor of 5.45 (in power) lower than the Gaussian beams employed in the current baseline design. Mirrors that confine these beams have been found to be roughly conical in shape, with an average slope approximately equal to the mirror radius divid","authors_text":"Mihai Bondarescu, Oleg Kogan, Yanbei Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-06-13T02:30:09Z","title":"Optimal Light Beams and Mirror Shapes for Future LIGO Interferometers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.2254","kind":"arxiv","version":2},"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:e48f2bf8f99c4fe9dfebef13bf9043d6c3969ddff042ec124b85f357c76eea27","target":"record","created_at":"2026-07-04T15:30:15Z","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":"5b351a410fef1cb9bae7b08cd256736879fcfbb669541b01aa232eb7f2314d50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-06-13T02:30:09Z","title_canon_sha256":"e468c39e243c843c5e78123f9a7119c809bea217f3d8677ab593d8ebba9e9fe9"},"schema_version":"1.0","source":{"id":"0806.2254","kind":"arxiv","version":2}},"canonical_sha256":"a136025078951b5434aac8f98532c9c5a6e8189347ced8a45678b343f99d7516","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a136025078951b5434aac8f98532c9c5a6e8189347ced8a45678b343f99d7516","first_computed_at":"2026-07-04T15:30:15.856668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:30:15.856668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ofTWinBnscQYuHN/rBEDX0bfWu2Xt7VhoGh9fuJ5aQAmPCzqiYAcWBT3ypOvvOBARYB/cOKerT0pjaKO0FxpAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:30:15.857016Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.2254","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e48f2bf8f99c4fe9dfebef13bf9043d6c3969ddff042ec124b85f357c76eea27","sha256:2705a061904f49bb082b21baa41c2513a2b266011e47f1a9c6476279ed91dca2"],"state_sha256":"7c7048ff479a389684067a8a685f8ac4ee4c37e332c61ff6a277785a1dcda7f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B275E2JQQ4/v3LWwO/G6Y9WA9YHbrwnMKHZZI9NRThbAXRG0mmrtjRj8QnWKzE1qv7F+vFZkY8AJ8xlwaFBDDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T22:11:10.746477Z","bundle_sha256":"72bf47f9c725f6e972fc1b964d81f7421e31507f0a6c725f8b488ab2ad9f3875"}}