{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NCM4KKBT5KFHYSIHB6DQGBEGSC","short_pith_number":"pith:NCM4KKBT","canonical_record":{"source":{"id":"1110.1666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-10-07T22:00:11Z","cross_cats_sorted":["cond-mat.quant-gas","physics.optics"],"title_canon_sha256":"757e0e9e9bd8f5623a3d09e3908b957658f4e08af82415d291b2d74bd32d8d6f","abstract_canon_sha256":"46f0c789a25f279002d0937c7daea9c01dd7267626490c0c823ee1eda8da7999"},"schema_version":"1.0"},"canonical_sha256":"6899c52833ea8a7c49070f87030486908125d7e52bebba5f24f99add4940d79f","source":{"kind":"arxiv","id":"1110.1666","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1666","created_at":"2026-05-18T02:00:16Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1666v1","created_at":"2026-05-18T02:00:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1666","created_at":"2026-05-18T02:00:16Z"},{"alias_kind":"pith_short_12","alias_value":"NCM4KKBT5KFH","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NCM4KKBT5KFHYSIH","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NCM4KKBT","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NCM4KKBT5KFHYSIHB6DQGBEGSC","target":"record","payload":{"canonical_record":{"source":{"id":"1110.1666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-10-07T22:00:11Z","cross_cats_sorted":["cond-mat.quant-gas","physics.optics"],"title_canon_sha256":"757e0e9e9bd8f5623a3d09e3908b957658f4e08af82415d291b2d74bd32d8d6f","abstract_canon_sha256":"46f0c789a25f279002d0937c7daea9c01dd7267626490c0c823ee1eda8da7999"},"schema_version":"1.0"},"canonical_sha256":"6899c52833ea8a7c49070f87030486908125d7e52bebba5f24f99add4940d79f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:16.229387Z","signature_b64":"sPMo9M/N6WwtSApFKD3fp4OCPLUCIu+64xzjrX7V7Eo26kSPB8Me38DAYe/qIs3GiV2U1sW7334RwUF7JsNmDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6899c52833ea8a7c49070f87030486908125d7e52bebba5f24f99add4940d79f","last_reissued_at":"2026-05-18T02:00:16.228943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:16.228943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.1666","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":"2026-05-18T02:00:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oQMwQQCnPbs8k1RAVC7vv1LX83xG6pFLR+28Bo/HpNZnFaR8v4WwmSdOqYol9UIzQH0+TGCTko9CFinVTtA7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:47:14.070006Z"},"content_sha256":"9c3d61f8b55a955a3131ee3c850dbb1529fbb5f7529b27ece461d95fcf9d6fee","schema_version":"1.0","event_id":"sha256:9c3d61f8b55a955a3131ee3c850dbb1529fbb5f7529b27ece461d95fcf9d6fee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NCM4KKBT5KFHYSIHB6DQGBEGSC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of bright solitons and soliton arrays in the nonlinear Schrodinger equation with a combination of random and harmonic potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","physics.optics"],"primary_cat":"nlin.PS","authors_text":"Boris A. Malomed, Panayotis G. Kevrekidis, Qian-Yong Chen","submitted_at":"2011-10-07T22:00:11Z","abstract_excerpt":"We report results of systematic simulations of the dynamics of solitons in the framework of the one-dimensional nonlinear Schr\\\"{o}dinger equation (NLSE), which includes the harmonic-oscillator (HO) potential and a random potential. The equation models experimentally relevant spatially disordered settings in Bose-Einstein condensates (BECs) and nonlinear optics. First, the generation of soliton arrays from a broad initial quasi-uniform state by the modulational instability (MI) is considered, following a sudden switch of the nonlinearity from repulsive to attractive. Then, we study oscillation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1666","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":""},"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":"2026-05-18T02:00:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oc3jdwF1ZhbmvCWU/BmMRyTLGVT4FCnenHjhquFFo+QcQRRAHS96e0+6hFWuhYem/VdcpT1IUCwo0yLJEUMtDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:47:14.070733Z"},"content_sha256":"8d97fd13f70e144aab4ba89f79065d17a579c52d2b8f68cc53309ff1fa500126","schema_version":"1.0","event_id":"sha256:8d97fd13f70e144aab4ba89f79065d17a579c52d2b8f68cc53309ff1fa500126"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCM4KKBT5KFHYSIHB6DQGBEGSC/bundle.json","state_url":"https://pith.science/pith/NCM4KKBT5KFHYSIHB6DQGBEGSC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCM4KKBT5KFHYSIHB6DQGBEGSC/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":"2026-06-06T21:47:14Z","links":{"resolver":"https://pith.science/pith/NCM4KKBT5KFHYSIHB6DQGBEGSC","bundle":"https://pith.science/pith/NCM4KKBT5KFHYSIHB6DQGBEGSC/bundle.json","state":"https://pith.science/pith/NCM4KKBT5KFHYSIHB6DQGBEGSC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCM4KKBT5KFHYSIHB6DQGBEGSC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NCM4KKBT5KFHYSIHB6DQGBEGSC","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":"46f0c789a25f279002d0937c7daea9c01dd7267626490c0c823ee1eda8da7999","cross_cats_sorted":["cond-mat.quant-gas","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-10-07T22:00:11Z","title_canon_sha256":"757e0e9e9bd8f5623a3d09e3908b957658f4e08af82415d291b2d74bd32d8d6f"},"schema_version":"1.0","source":{"id":"1110.1666","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1666","created_at":"2026-05-18T02:00:16Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1666v1","created_at":"2026-05-18T02:00:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1666","created_at":"2026-05-18T02:00:16Z"},{"alias_kind":"pith_short_12","alias_value":"NCM4KKBT5KFH","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NCM4KKBT5KFHYSIH","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NCM4KKBT","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:8d97fd13f70e144aab4ba89f79065d17a579c52d2b8f68cc53309ff1fa500126","target":"graph","created_at":"2026-05-18T02:00:16Z","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 report results of systematic simulations of the dynamics of solitons in the framework of the one-dimensional nonlinear Schr\\\"{o}dinger equation (NLSE), which includes the harmonic-oscillator (HO) potential and a random potential. The equation models experimentally relevant spatially disordered settings in Bose-Einstein condensates (BECs) and nonlinear optics. First, the generation of soliton arrays from a broad initial quasi-uniform state by the modulational instability (MI) is considered, following a sudden switch of the nonlinearity from repulsive to attractive. Then, we study oscillation","authors_text":"Boris A. Malomed, Panayotis G. Kevrekidis, Qian-Yong Chen","cross_cats":["cond-mat.quant-gas","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-10-07T22:00:11Z","title":"Dynamics of bright solitons and soliton arrays in the nonlinear Schrodinger equation with a combination of random and harmonic potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1666","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":"sha256:9c3d61f8b55a955a3131ee3c850dbb1529fbb5f7529b27ece461d95fcf9d6fee","target":"record","created_at":"2026-05-18T02:00:16Z","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":"46f0c789a25f279002d0937c7daea9c01dd7267626490c0c823ee1eda8da7999","cross_cats_sorted":["cond-mat.quant-gas","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-10-07T22:00:11Z","title_canon_sha256":"757e0e9e9bd8f5623a3d09e3908b957658f4e08af82415d291b2d74bd32d8d6f"},"schema_version":"1.0","source":{"id":"1110.1666","kind":"arxiv","version":1}},"canonical_sha256":"6899c52833ea8a7c49070f87030486908125d7e52bebba5f24f99add4940d79f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6899c52833ea8a7c49070f87030486908125d7e52bebba5f24f99add4940d79f","first_computed_at":"2026-05-18T02:00:16.228943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:16.228943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sPMo9M/N6WwtSApFKD3fp4OCPLUCIu+64xzjrX7V7Eo26kSPB8Me38DAYe/qIs3GiV2U1sW7334RwUF7JsNmDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:16.229387Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1666","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c3d61f8b55a955a3131ee3c850dbb1529fbb5f7529b27ece461d95fcf9d6fee","sha256:8d97fd13f70e144aab4ba89f79065d17a579c52d2b8f68cc53309ff1fa500126"],"state_sha256":"50cc075cb739a947ed4be274f590224b2d626dc5d0a95917f54957b5a1724d57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+73v6gWJW63s/4AAnWJidfQjME1+QQYD6iUWAm/nD3gKt4DYtv52h7iNS4Q9FYJh9K74lTukP28AH1FhTNi7Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T21:47:14.074488Z","bundle_sha256":"037587b554c048b89e3f0cad8b336e9d0a948afeb9a1f59da9a71ea034d2060d"}}