{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6HT7Z7G4UH4ECLIN6PIDTGIYNO","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":"bbee2389f99fdb1133fee178569b113a2148c533825cf8ace4ec825e8f0c9b88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-12T19:34:12Z","title_canon_sha256":"0c23f71cb7a8f575761715d19742f6e8c06997934411e510ba4d78849eb1462a"},"schema_version":"1.0","source":{"id":"1303.2992","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2992","created_at":"2026-05-18T02:45:49Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2992v3","created_at":"2026-05-18T02:45:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2992","created_at":"2026-05-18T02:45:49Z"},{"alias_kind":"pith_short_12","alias_value":"6HT7Z7G4UH4E","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6HT7Z7G4UH4ECLIN","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6HT7Z7G4","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:8435ae84a323c83fe9fd12f1ac3465d508f5ee5c1bee95f32067c33139aad2cc","target":"graph","created_at":"2026-05-18T02:45:49Z","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":"We present an ab-initio treatment of the steady-state of lasers with injected signals that describes a regime, valid for micro lasers, in which the locking transition is dominated by cross-saturation and spatial hole-burning. The theory goes beyond standard approaches and treats multimode lasing with injected signals and finds the possibility of partially locked states and as well as repulsion of the free-running frequencies from the injected signal. The theory agrees well with exact integration of the full wave and matter equations for the system. It can also describe accurately complex moder","authors_text":"A. Douglas Stone, Alexander Cerjan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-12T19:34:12Z","title":"Steady state Ab-initio Theory of Lasers with Injected Signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2992","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:b1e01bb4ee5b552b1550359a3a2b1c150734043c00e5c91d9dfe4979b160a9f9","target":"record","created_at":"2026-05-18T02:45:49Z","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":"bbee2389f99fdb1133fee178569b113a2148c533825cf8ace4ec825e8f0c9b88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-12T19:34:12Z","title_canon_sha256":"0c23f71cb7a8f575761715d19742f6e8c06997934411e510ba4d78849eb1462a"},"schema_version":"1.0","source":{"id":"1303.2992","kind":"arxiv","version":3}},"canonical_sha256":"f1e7fcfcdca1f8412d0df3d03999186b83f401b957411b62e45b6ddf8d89a220","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1e7fcfcdca1f8412d0df3d03999186b83f401b957411b62e45b6ddf8d89a220","first_computed_at":"2026-05-18T02:45:49.814745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:49.814745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lgAbSsEHxfQglzMcbACBH2JpTninet2GcpYlFpklKCWNrZ7bnbi8eh68EA7Gb22sguPDPHyyaTpKkIJiFKDnCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:49.815169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2992","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1e01bb4ee5b552b1550359a3a2b1c150734043c00e5c91d9dfe4979b160a9f9","sha256:8435ae84a323c83fe9fd12f1ac3465d508f5ee5c1bee95f32067c33139aad2cc"],"state_sha256":"f836f38f806a67ae16fac65334670aa010e001aef5093f5bae0af25eb9edacdd"}