{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EZNSOFJ7EYHHAGRXANQGUWBRJS","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":"8c93ab954c3ce96a0de02b8b199a8f7424fcb29a0bd78042423a5adc53dbd852","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-03T19:17:38Z","title_canon_sha256":"364362e0ebc4f4a0505846acfa41a9c55dc41d6799588303de878b2435aea94a"},"schema_version":"1.0","source":{"id":"1404.1050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1050","created_at":"2026-05-18T01:43:42Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1050v1","created_at":"2026-05-18T01:43:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1050","created_at":"2026-05-18T01:43:42Z"},{"alias_kind":"pith_short_12","alias_value":"EZNSOFJ7EYHH","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EZNSOFJ7EYHHAGRX","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EZNSOFJ7","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:4eadb7ce132f30cdcd76e4259fbab2f2f7458f4a8f2fa3ae64a96bfedaf4d287","target":"graph","created_at":"2026-05-18T01:43:42Z","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 propose to combine multiple laser beams into a single diffraction-limited beam by the beam self-focusing (collapse) in the Kerr medium. The beams with the total power above critical are first combined in the near field and then propagated in the optical fiber/waveguide with the Kerr nonlinearity. Random fluctuations during propagation eventually trigger strong self-focusing event and produce diffraction-limited beam carrying the critical power.","authors_text":"Natalia Vladimirova, Pavel M. Lushnikov","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-03T19:17:38Z","title":"Nonlinear combining of laser beams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1050","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":"sha256:32fbfa1f7bf4a12a5191134fee8752e9bdd0b23839f2a260869f9b6ba9cc8356","target":"record","created_at":"2026-05-18T01:43:42Z","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":"8c93ab954c3ce96a0de02b8b199a8f7424fcb29a0bd78042423a5adc53dbd852","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-03T19:17:38Z","title_canon_sha256":"364362e0ebc4f4a0505846acfa41a9c55dc41d6799588303de878b2435aea94a"},"schema_version":"1.0","source":{"id":"1404.1050","kind":"arxiv","version":1}},"canonical_sha256":"265b27153f260e701a3703606a58314cacf2b11da29371baca4d12629270b9bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"265b27153f260e701a3703606a58314cacf2b11da29371baca4d12629270b9bb","first_computed_at":"2026-05-18T01:43:42.472965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:42.472965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DMmK52EQz7F2TH/yHnEXLUccIoO4Qj8jLDhkOU6heyZFmiwivn/vzrQs1le1ucQPnS9qlntVVNjMOOhpG7H6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:42.473409Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32fbfa1f7bf4a12a5191134fee8752e9bdd0b23839f2a260869f9b6ba9cc8356","sha256:4eadb7ce132f30cdcd76e4259fbab2f2f7458f4a8f2fa3ae64a96bfedaf4d287"],"state_sha256":"9703e6a121566dd1e7a6fc13b19c29f171661e7f8e716f785106743456d2dff1"}