{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:URTJ2NZ6AITASQRZ2UHQONYNV3","short_pith_number":"pith:URTJ2NZ6","canonical_record":{"source":{"id":"0903.2902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-03-17T05:23:11Z","cross_cats_sorted":[],"title_canon_sha256":"b4daf086dd090004cf65d3edd88ef906f08df6123a405491b4b628da29ca82f6","abstract_canon_sha256":"d8fb7e58ccbd61440ba40e4a9e73f91952ab356c3c0a37250e4f424e33d7db15"},"schema_version":"1.0"},"canonical_sha256":"a4669d373e0226094239d50f07370daef7e8d3fb2d584c279d25cf3417789573","source":{"kind":"arxiv","id":"0903.2902","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2902","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2902v1","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2902","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"pith_short_12","alias_value":"URTJ2NZ6AITA","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"pith_short_16","alias_value":"URTJ2NZ6AITASQRZ","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"pith_short_8","alias_value":"URTJ2NZ6","created_at":"2026-07-04T15:47:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:URTJ2NZ6AITASQRZ2UHQONYNV3","target":"record","payload":{"canonical_record":{"source":{"id":"0903.2902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-03-17T05:23:11Z","cross_cats_sorted":[],"title_canon_sha256":"b4daf086dd090004cf65d3edd88ef906f08df6123a405491b4b628da29ca82f6","abstract_canon_sha256":"d8fb7e58ccbd61440ba40e4a9e73f91952ab356c3c0a37250e4f424e33d7db15"},"schema_version":"1.0"},"canonical_sha256":"a4669d373e0226094239d50f07370daef7e8d3fb2d584c279d25cf3417789573","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:47:02.620825Z","signature_b64":"IOxdNHMyQPAJv5kGdh5OzymlzT4OTm4vigbOxwHw9zOsvrwvkiWmuv+e0BzjwvrF2IXoAxPEP5TeWMBOFN3EBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4669d373e0226094239d50f07370daef7e8d3fb2d584c279d25cf3417789573","last_reissued_at":"2026-07-04T15:47:02.620376Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:47:02.620376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.2902","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":"2026-07-04T15:47:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VKWhjZSlLlqW9BgoakLK2amM7WWoeMSgoFXzphDdtSTz5cywYm9jwt5PFBeC6X/JSXKAV98bM4P/JiRb+H3fCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:49:25.596520Z"},"content_sha256":"b77b6aab3d417dd12f96455e038d29e144a303300c239297b5cee1486a7ffaa1","schema_version":"1.0","event_id":"sha256:b77b6aab3d417dd12f96455e038d29e144a303300c239297b5cee1486a7ffaa1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:URTJ2NZ6AITASQRZ2UHQONYNV3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coating thermal noise of a finite-size cylindrical mirror","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kazuhiro Yamamoto, Kentaro Somiya","submitted_at":"2009-03-17T05:23:11Z","abstract_excerpt":"Thermal noise of a mirror is one of the limiting noise sources in the high precision measurement such as gravitational-wave detection, and the modeling of thermal noise has been developed and refined over a decade. In this paper, we present a derivation of coating thermal noise of a finite-size cylindrical mirror based on the fluctuation-dissipation theorem. The result agrees to a previous result with an infinite-size mirror in the limit of large thickness, and also agrees to an independent result based on the mode expansion with a thin-mirror approximation. Our study will play an important ro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2902","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0903.2902/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":"2026-07-04T15:47:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rw0rzIN56HVwPow6qgqc++92lSl5mkVkLOPXlbm2kVFlRI+d6YyIy2TqFTxA5HELCwfyUuwKzLo2J0f9cFc2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:49:25.597021Z"},"content_sha256":"bb7bec5259b569ae7746f5de691a8ca6699853e909426e7241f90cd8887c2d77","schema_version":"1.0","event_id":"sha256:bb7bec5259b569ae7746f5de691a8ca6699853e909426e7241f90cd8887c2d77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/URTJ2NZ6AITASQRZ2UHQONYNV3/bundle.json","state_url":"https://pith.science/pith/URTJ2NZ6AITASQRZ2UHQONYNV3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/URTJ2NZ6AITASQRZ2UHQONYNV3/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":"2026-08-12T17:49:25Z","links":{"resolver":"https://pith.science/pith/URTJ2NZ6AITASQRZ2UHQONYNV3","bundle":"https://pith.science/pith/URTJ2NZ6AITASQRZ2UHQONYNV3/bundle.json","state":"https://pith.science/pith/URTJ2NZ6AITASQRZ2UHQONYNV3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/URTJ2NZ6AITASQRZ2UHQONYNV3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:URTJ2NZ6AITASQRZ2UHQONYNV3","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":"d8fb7e58ccbd61440ba40e4a9e73f91952ab356c3c0a37250e4f424e33d7db15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-03-17T05:23:11Z","title_canon_sha256":"b4daf086dd090004cf65d3edd88ef906f08df6123a405491b4b628da29ca82f6"},"schema_version":"1.0","source":{"id":"0903.2902","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2902","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2902v1","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2902","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"pith_short_12","alias_value":"URTJ2NZ6AITA","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"pith_short_16","alias_value":"URTJ2NZ6AITASQRZ","created_at":"2026-07-04T15:47:02Z"},{"alias_kind":"pith_short_8","alias_value":"URTJ2NZ6","created_at":"2026-07-04T15:47:02Z"}],"graph_snapshots":[{"event_id":"sha256:bb7bec5259b569ae7746f5de691a8ca6699853e909426e7241f90cd8887c2d77","target":"graph","created_at":"2026-07-04T15:47:02Z","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/0903.2902/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Thermal noise of a mirror is one of the limiting noise sources in the high precision measurement such as gravitational-wave detection, and the modeling of thermal noise has been developed and refined over a decade. In this paper, we present a derivation of coating thermal noise of a finite-size cylindrical mirror based on the fluctuation-dissipation theorem. The result agrees to a previous result with an infinite-size mirror in the limit of large thickness, and also agrees to an independent result based on the mode expansion with a thin-mirror approximation. Our study will play an important ro","authors_text":"Kazuhiro Yamamoto, Kentaro Somiya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-03-17T05:23:11Z","title":"Coating thermal noise of a finite-size cylindrical mirror"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2902","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:b77b6aab3d417dd12f96455e038d29e144a303300c239297b5cee1486a7ffaa1","target":"record","created_at":"2026-07-04T15:47:02Z","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":"d8fb7e58ccbd61440ba40e4a9e73f91952ab356c3c0a37250e4f424e33d7db15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-03-17T05:23:11Z","title_canon_sha256":"b4daf086dd090004cf65d3edd88ef906f08df6123a405491b4b628da29ca82f6"},"schema_version":"1.0","source":{"id":"0903.2902","kind":"arxiv","version":1}},"canonical_sha256":"a4669d373e0226094239d50f07370daef7e8d3fb2d584c279d25cf3417789573","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4669d373e0226094239d50f07370daef7e8d3fb2d584c279d25cf3417789573","first_computed_at":"2026-07-04T15:47:02.620376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:47:02.620376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IOxdNHMyQPAJv5kGdh5OzymlzT4OTm4vigbOxwHw9zOsvrwvkiWmuv+e0BzjwvrF2IXoAxPEP5TeWMBOFN3EBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:47:02.620825Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.2902","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b77b6aab3d417dd12f96455e038d29e144a303300c239297b5cee1486a7ffaa1","sha256:bb7bec5259b569ae7746f5de691a8ca6699853e909426e7241f90cd8887c2d77"],"state_sha256":"20683d7fe526fe5d07276247bf25eb14809e9b9d95962c8262090757e950bad8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"siaZB/6C/eDewn269UlTASwhrqrirQDwoO95/Py+pukpa2e2pplPEitc7y9hkqBrrJWDjUhttoyyqNHaJbd1CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T17:49:25.606394Z","bundle_sha256":"b71860f5fedeb1628cfe81a7c6910c7300de5749648f9e72d200fc7a30857c39"}}