{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:U2Z26YNV53VYFTPO3KWWKWEMW6","short_pith_number":"pith:U2Z26YNV","canonical_record":{"source":{"id":"1310.3618","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-10-14T10:23:48Z","cross_cats_sorted":[],"title_canon_sha256":"a4a6ab20fc5e1c061b8337f26b905e325a00977e79c6ab115b0c09d3c2876b35","abstract_canon_sha256":"c5062bd8c66684ccf15d07f29a7b9f572600b13985bab73cb67b3b72821d2dde"},"schema_version":"1.0"},"canonical_sha256":"a6b3af61b5eeeb82cdeedaad65588cb78aa3eeb24a14482e45c42118f48ecabc","source":{"kind":"arxiv","id":"1310.3618","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3618","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3618v2","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3618","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"pith_short_12","alias_value":"U2Z26YNV53VY","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U2Z26YNV53VYFTPO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U2Z26YNV","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:U2Z26YNV53VYFTPO3KWWKWEMW6","target":"record","payload":{"canonical_record":{"source":{"id":"1310.3618","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-10-14T10:23:48Z","cross_cats_sorted":[],"title_canon_sha256":"a4a6ab20fc5e1c061b8337f26b905e325a00977e79c6ab115b0c09d3c2876b35","abstract_canon_sha256":"c5062bd8c66684ccf15d07f29a7b9f572600b13985bab73cb67b3b72821d2dde"},"schema_version":"1.0"},"canonical_sha256":"a6b3af61b5eeeb82cdeedaad65588cb78aa3eeb24a14482e45c42118f48ecabc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:13.913655Z","signature_b64":"ZotZP8RT1ey57LNY+Zpvv1PKCbzJpz5OqlmdpFRIHeFJ5l9fJlObaeskWh2KIJSRufQu6JlQYf2lzsU6MVN7BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6b3af61b5eeeb82cdeedaad65588cb78aa3eeb24a14482e45c42118f48ecabc","last_reissued_at":"2026-05-18T03:10:13.912952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:13.912952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.3618","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":"2026-05-18T03:10:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3KCwzdkBGyy4C9DYb5rw3AXRlyuBEJfon1pRt8G+0v0LeUeSrjGiUgFJsdTLacaNc86BztMRiZbb4LLA72cmAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T02:25:17.980207Z"},"content_sha256":"76ef61b7ad00922233b345e1d2ba59c07212cbc866dd6806bd16c97281ffa5d3","schema_version":"1.0","event_id":"sha256:76ef61b7ad00922233b345e1d2ba59c07212cbc866dd6806bd16c97281ffa5d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:U2Z26YNV53VYFTPO3KWWKWEMW6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Waves statistics for generalized one-dimensional Nonlinear Schrodinger Equation with saturated nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"D.S. Agafontsev","submitted_at":"2013-10-14T10:23:48Z","abstract_excerpt":"We measure spectra, spatial correlation functions and probability density functions (PDFs) for waves amplitudes for generalized one-dimensional nonlinear Schrodinger (NLS) equation of focusing type with saturated nonlinearity. All additional terms beyond the classical NLS equation are small. As initial conditions we use perturbed by weak noise modulationally unstable condensate. On the PDFs we observe power-law region for small and medium amplitudes followed by intermediate region and then Rayleigh far tail. Power-law region appears starting from some critical levels of average amplitude and c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3618","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":""},"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":"2026-05-18T03:10:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6JBCZkZLKix7xlYeIsua8X2/1Y62CKkb0UpV/7Fxq+sAJWeVRkK1zFwaWWInaIkzkjVVsReQi3W1K6HnHrzNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T02:25:17.980562Z"},"content_sha256":"b7c429baf922c9f370b10eb581f83170956d3a4736697ae093c30b5ecd6a058c","schema_version":"1.0","event_id":"sha256:b7c429baf922c9f370b10eb581f83170956d3a4736697ae093c30b5ecd6a058c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U2Z26YNV53VYFTPO3KWWKWEMW6/bundle.json","state_url":"https://pith.science/pith/U2Z26YNV53VYFTPO3KWWKWEMW6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U2Z26YNV53VYFTPO3KWWKWEMW6/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":"2026-06-24T02:25:17Z","links":{"resolver":"https://pith.science/pith/U2Z26YNV53VYFTPO3KWWKWEMW6","bundle":"https://pith.science/pith/U2Z26YNV53VYFTPO3KWWKWEMW6/bundle.json","state":"https://pith.science/pith/U2Z26YNV53VYFTPO3KWWKWEMW6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U2Z26YNV53VYFTPO3KWWKWEMW6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:U2Z26YNV53VYFTPO3KWWKWEMW6","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":"c5062bd8c66684ccf15d07f29a7b9f572600b13985bab73cb67b3b72821d2dde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-10-14T10:23:48Z","title_canon_sha256":"a4a6ab20fc5e1c061b8337f26b905e325a00977e79c6ab115b0c09d3c2876b35"},"schema_version":"1.0","source":{"id":"1310.3618","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3618","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3618v2","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3618","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"pith_short_12","alias_value":"U2Z26YNV53VY","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U2Z26YNV53VYFTPO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U2Z26YNV","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:b7c429baf922c9f370b10eb581f83170956d3a4736697ae093c30b5ecd6a058c","target":"graph","created_at":"2026-05-18T03:10:13Z","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 measure spectra, spatial correlation functions and probability density functions (PDFs) for waves amplitudes for generalized one-dimensional nonlinear Schrodinger (NLS) equation of focusing type with saturated nonlinearity. All additional terms beyond the classical NLS equation are small. As initial conditions we use perturbed by weak noise modulationally unstable condensate. On the PDFs we observe power-law region for small and medium amplitudes followed by intermediate region and then Rayleigh far tail. Power-law region appears starting from some critical levels of average amplitude and c","authors_text":"D.S. Agafontsev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-10-14T10:23:48Z","title":"Waves statistics for generalized one-dimensional Nonlinear Schrodinger Equation with saturated nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3618","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":"sha256:76ef61b7ad00922233b345e1d2ba59c07212cbc866dd6806bd16c97281ffa5d3","target":"record","created_at":"2026-05-18T03:10:13Z","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":"c5062bd8c66684ccf15d07f29a7b9f572600b13985bab73cb67b3b72821d2dde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-10-14T10:23:48Z","title_canon_sha256":"a4a6ab20fc5e1c061b8337f26b905e325a00977e79c6ab115b0c09d3c2876b35"},"schema_version":"1.0","source":{"id":"1310.3618","kind":"arxiv","version":2}},"canonical_sha256":"a6b3af61b5eeeb82cdeedaad65588cb78aa3eeb24a14482e45c42118f48ecabc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6b3af61b5eeeb82cdeedaad65588cb78aa3eeb24a14482e45c42118f48ecabc","first_computed_at":"2026-05-18T03:10:13.912952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:13.912952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZotZP8RT1ey57LNY+Zpvv1PKCbzJpz5OqlmdpFRIHeFJ5l9fJlObaeskWh2KIJSRufQu6JlQYf2lzsU6MVN7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:13.913655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.3618","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76ef61b7ad00922233b345e1d2ba59c07212cbc866dd6806bd16c97281ffa5d3","sha256:b7c429baf922c9f370b10eb581f83170956d3a4736697ae093c30b5ecd6a058c"],"state_sha256":"ff97a8d920e1e05a2af715c019b8009da703902ad3205574dc32d9ba75c87ad0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uQT8fojmG10NBOrFUAkhhPjz7Msatlj1BrSEOxWYt7moihqYKtnT0PPbHBL0jyppdClN/xPXe871lOPHx2ySBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T02:25:17.982480Z","bundle_sha256":"f78cdb7885dcfe0fba65b1de73dbf91c7834956d7ee6eddeb51b691a55439e0e"}}