{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:OTOGAWW57KZPYCHTZFIO7MSPGW","short_pith_number":"pith:OTOGAWW5","canonical_record":{"source":{"id":"1402.0688","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T10:56:01Z","cross_cats_sorted":[],"title_canon_sha256":"9fa0ff5a5c5ef6e8277c51b3669f094d0eb0b5b37607979a3272149bc99b11c9","abstract_canon_sha256":"12470b6a4e36e444e493d2914d47de07462215543158071f9c646c7b187b2376"},"schema_version":"1.0"},"canonical_sha256":"74dc605addfab2fc08f3c950efb24f35904c039a3d7501552aababd5b680b177","source":{"kind":"arxiv","id":"1402.0688","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0688","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0688v3","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0688","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"pith_short_12","alias_value":"OTOGAWW57KZP","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"OTOGAWW57KZPYCHT","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"OTOGAWW5","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:OTOGAWW57KZPYCHTZFIO7MSPGW","target":"record","payload":{"canonical_record":{"source":{"id":"1402.0688","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T10:56:01Z","cross_cats_sorted":[],"title_canon_sha256":"9fa0ff5a5c5ef6e8277c51b3669f094d0eb0b5b37607979a3272149bc99b11c9","abstract_canon_sha256":"12470b6a4e36e444e493d2914d47de07462215543158071f9c646c7b187b2376"},"schema_version":"1.0"},"canonical_sha256":"74dc605addfab2fc08f3c950efb24f35904c039a3d7501552aababd5b680b177","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:05.466534Z","signature_b64":"HY2QYV8xgmTdDnoJcLNWal/XhPXMziSc6MSFkOPeqGpGMoWRd8lv+JnQ7JpGGU7BArVzrjmyFgzqNJ816fxSAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74dc605addfab2fc08f3c950efb24f35904c039a3d7501552aababd5b680b177","last_reissued_at":"2026-05-18T02:55:05.465944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:05.465944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.0688","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jXxPq6Mdpusaj3RJqjgKIrAxaxXux2LiRX+d5blRUKK3oGpmbQV2QhIFOl4TM3m+z4SG1hvrRGrqkFb6VFhODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T09:29:15.437332Z"},"content_sha256":"466c1482f8ca2b2d3a0d54a70005f30e0f96958de0edb1742cf2599a42f1bbb2","schema_version":"1.0","event_id":"sha256:466c1482f8ca2b2d3a0d54a70005f30e0f96958de0edb1742cf2599a42f1bbb2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:OTOGAWW57KZPYCHTZFIO7MSPGW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Sub-Schawlow-Townes Laser Linewidths Via Material Dispersion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"A. Douglas Stone, Jason Cornelius Pillay, Natsume Yuki, Y. D. Chong","submitted_at":"2014-02-04T10:56:01Z","abstract_excerpt":"A recent S matrix-based theory of the quantum-limited linewidth, which is applicable to general lasers, including spatially non-uniform laser cavities operating above threshold, is analyzed in various limits. For broadband gain, a simple interpretation of the Petermann and bad-cavity factors is presented in terms of geometric relations between the zeros and poles of the S matrix. When there is substantial dispersion, on the frequency scale of the cavity lifetime, the theory yields a generalization of the bad-cavity factor, which was previously derived for spatially uniform one-dimensional lase"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0688","kind":"arxiv","version":3},"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":"2026-05-18T02:55:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KQUr2r2xx+RkbEOwgrXF+sfHeJ2myoRH2XxSTgJsIkqsWf5g4uHdn/DfRXa5dh9RXdIa2lBgr20C1ifv5bNjAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T09:29:15.437690Z"},"content_sha256":"3e9bc588bce2b6aaab1b58db6003aa473d78884460942d81acdc156d1ca599d8","schema_version":"1.0","event_id":"sha256:3e9bc588bce2b6aaab1b58db6003aa473d78884460942d81acdc156d1ca599d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OTOGAWW57KZPYCHTZFIO7MSPGW/bundle.json","state_url":"https://pith.science/pith/OTOGAWW57KZPYCHTZFIO7MSPGW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OTOGAWW57KZPYCHTZFIO7MSPGW/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":"2026-05-20T09:29:15Z","links":{"resolver":"https://pith.science/pith/OTOGAWW57KZPYCHTZFIO7MSPGW","bundle":"https://pith.science/pith/OTOGAWW57KZPYCHTZFIO7MSPGW/bundle.json","state":"https://pith.science/pith/OTOGAWW57KZPYCHTZFIO7MSPGW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OTOGAWW57KZPYCHTZFIO7MSPGW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OTOGAWW57KZPYCHTZFIO7MSPGW","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":"12470b6a4e36e444e493d2914d47de07462215543158071f9c646c7b187b2376","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T10:56:01Z","title_canon_sha256":"9fa0ff5a5c5ef6e8277c51b3669f094d0eb0b5b37607979a3272149bc99b11c9"},"schema_version":"1.0","source":{"id":"1402.0688","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0688","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0688v3","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0688","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"pith_short_12","alias_value":"OTOGAWW57KZP","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"OTOGAWW57KZPYCHT","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"OTOGAWW5","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:3e9bc588bce2b6aaab1b58db6003aa473d78884460942d81acdc156d1ca599d8","target":"graph","created_at":"2026-05-18T02:55:05Z","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":"A recent S matrix-based theory of the quantum-limited linewidth, which is applicable to general lasers, including spatially non-uniform laser cavities operating above threshold, is analyzed in various limits. For broadband gain, a simple interpretation of the Petermann and bad-cavity factors is presented in terms of geometric relations between the zeros and poles of the S matrix. When there is substantial dispersion, on the frequency scale of the cavity lifetime, the theory yields a generalization of the bad-cavity factor, which was previously derived for spatially uniform one-dimensional lase","authors_text":"A. Douglas Stone, Jason Cornelius Pillay, Natsume Yuki, Y. D. Chong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T10:56:01Z","title":"Generalized Sub-Schawlow-Townes Laser Linewidths Via Material Dispersion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0688","kind":"arxiv","version":3},"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":"sha256:466c1482f8ca2b2d3a0d54a70005f30e0f96958de0edb1742cf2599a42f1bbb2","target":"record","created_at":"2026-05-18T02:55:05Z","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":"12470b6a4e36e444e493d2914d47de07462215543158071f9c646c7b187b2376","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T10:56:01Z","title_canon_sha256":"9fa0ff5a5c5ef6e8277c51b3669f094d0eb0b5b37607979a3272149bc99b11c9"},"schema_version":"1.0","source":{"id":"1402.0688","kind":"arxiv","version":3}},"canonical_sha256":"74dc605addfab2fc08f3c950efb24f35904c039a3d7501552aababd5b680b177","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74dc605addfab2fc08f3c950efb24f35904c039a3d7501552aababd5b680b177","first_computed_at":"2026-05-18T02:55:05.465944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:05.465944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HY2QYV8xgmTdDnoJcLNWal/XhPXMziSc6MSFkOPeqGpGMoWRd8lv+JnQ7JpGGU7BArVzrjmyFgzqNJ816fxSAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:05.466534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.0688","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:466c1482f8ca2b2d3a0d54a70005f30e0f96958de0edb1742cf2599a42f1bbb2","sha256:3e9bc588bce2b6aaab1b58db6003aa473d78884460942d81acdc156d1ca599d8"],"state_sha256":"fd4bab9665eedf9a42e9003621dd0ba07cfdcfe8721632aa9284b9d3f2c7ee9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nukREynWMdfsZ1O4LMvXaEt9KRJY+AYPjcxKQWGyAxAoeCMvYw3iZWxVZold6tJdZhzSBN+LvKMCjaQ+czD0Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T09:29:15.439770Z","bundle_sha256":"a4b786039841f18d3d3c4eb6755466722d9d8556f1235130b634359c9031138b"}}