{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:IWWMESJYE7LGX3EUGGQ7SMEKJI","short_pith_number":"pith:IWWMESJY","canonical_record":{"source":{"id":"1801.04897","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-15T18:12:30Z","cross_cats_sorted":[],"title_canon_sha256":"8495673ed38c5f3bfb2e026a10858097acfc4c0a7df3d18b62b6d6fafdca571e","abstract_canon_sha256":"f104e9e6cc01e057f4c102f1697c5e2c428e150756fdb87c6ee34069b0ccf669"},"schema_version":"1.0"},"canonical_sha256":"45acc2493827d66bec9431a1f9308a4a145fdb799a635c66ae5cfd01f585cf20","source":{"kind":"arxiv","id":"1801.04897","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04897","created_at":"2026-05-18T00:25:41Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04897v2","created_at":"2026-05-18T00:25:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04897","created_at":"2026-05-18T00:25:41Z"},{"alias_kind":"pith_short_12","alias_value":"IWWMESJYE7LG","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IWWMESJYE7LGX3EU","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IWWMESJY","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:IWWMESJYE7LGX3EUGGQ7SMEKJI","target":"record","payload":{"canonical_record":{"source":{"id":"1801.04897","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-15T18:12:30Z","cross_cats_sorted":[],"title_canon_sha256":"8495673ed38c5f3bfb2e026a10858097acfc4c0a7df3d18b62b6d6fafdca571e","abstract_canon_sha256":"f104e9e6cc01e057f4c102f1697c5e2c428e150756fdb87c6ee34069b0ccf669"},"schema_version":"1.0"},"canonical_sha256":"45acc2493827d66bec9431a1f9308a4a145fdb799a635c66ae5cfd01f585cf20","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:41.325302Z","signature_b64":"AKqyxU6ICMG0JCTCvF41G8aOitkyV/qk6Qr3kSH6eRAmdyqEqyABff9iWXm3zYHxqRe7Swi0w+lzyy4rxhxCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45acc2493827d66bec9431a1f9308a4a145fdb799a635c66ae5cfd01f585cf20","last_reissued_at":"2026-05-18T00:25:41.324622Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:41.324622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.04897","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":"2026-05-18T00:25:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i60L8Aw/iXhFC3SN0sJYadX5S//kbQIvAT1yEyKiaIX2edzkc0b9JaigHH8/5msAOogIbbR/R/85sJ2PRZOIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T10:20:55.363345Z"},"content_sha256":"8ec3058e750a97fd123f9b1eac230896e0b3ff467f5ed390ce25e5180005b3ea","schema_version":"1.0","event_id":"sha256:8ec3058e750a97fd123f9b1eac230896e0b3ff467f5ed390ce25e5180005b3ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:IWWMESJYE7LGX3EUGGQ7SMEKJI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Manakov model with gain/loss terms and $N$-soliton interactions: Effects of periodic potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"M. D. Todorov, V. S. Gerdjikov","submitted_at":"2018-01-15T18:12:30Z","abstract_excerpt":"We analyze the dynamical behavior of the N-soliton train in the adiabatic approximation of the perturbed nonlinear Schrodinger (NLS) equation and the Manakov model. The perturbations include the simultaneous by a periodic external potential, and linear and nonlinear gain/loss terms. We derive the corresponding perturbed complex Toda chain (PCTC) models for both NLS and Manakov model. We show that the soliton interactions dynamics for the PCTC models compares favorably to full numerical results of the original perturbed NLS and Manakov model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04897","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":"2026-05-18T00:25:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dDMsDKX8K8I1B0nonNferpeLy8x3izdv8Hk7mRs/rcldI/kUyC+3S/9VYhmCBpAtoGtD1QyE7dp9iG6LDw3IBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T10:20:55.363705Z"},"content_sha256":"1adee04f50b07897af9923a6f88adb0ebd758e401f8ced133fa267ef96822afe","schema_version":"1.0","event_id":"sha256:1adee04f50b07897af9923a6f88adb0ebd758e401f8ced133fa267ef96822afe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IWWMESJYE7LGX3EUGGQ7SMEKJI/bundle.json","state_url":"https://pith.science/pith/IWWMESJYE7LGX3EUGGQ7SMEKJI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IWWMESJYE7LGX3EUGGQ7SMEKJI/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":"2026-06-27T10:20:55Z","links":{"resolver":"https://pith.science/pith/IWWMESJYE7LGX3EUGGQ7SMEKJI","bundle":"https://pith.science/pith/IWWMESJYE7LGX3EUGGQ7SMEKJI/bundle.json","state":"https://pith.science/pith/IWWMESJYE7LGX3EUGGQ7SMEKJI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IWWMESJYE7LGX3EUGGQ7SMEKJI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IWWMESJYE7LGX3EUGGQ7SMEKJI","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":"f104e9e6cc01e057f4c102f1697c5e2c428e150756fdb87c6ee34069b0ccf669","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-15T18:12:30Z","title_canon_sha256":"8495673ed38c5f3bfb2e026a10858097acfc4c0a7df3d18b62b6d6fafdca571e"},"schema_version":"1.0","source":{"id":"1801.04897","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04897","created_at":"2026-05-18T00:25:41Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04897v2","created_at":"2026-05-18T00:25:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04897","created_at":"2026-05-18T00:25:41Z"},{"alias_kind":"pith_short_12","alias_value":"IWWMESJYE7LG","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IWWMESJYE7LGX3EU","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IWWMESJY","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:1adee04f50b07897af9923a6f88adb0ebd758e401f8ced133fa267ef96822afe","target":"graph","created_at":"2026-05-18T00:25:41Z","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 analyze the dynamical behavior of the N-soliton train in the adiabatic approximation of the perturbed nonlinear Schrodinger (NLS) equation and the Manakov model. The perturbations include the simultaneous by a periodic external potential, and linear and nonlinear gain/loss terms. We derive the corresponding perturbed complex Toda chain (PCTC) models for both NLS and Manakov model. We show that the soliton interactions dynamics for the PCTC models compares favorably to full numerical results of the original perturbed NLS and Manakov model.","authors_text":"M. D. Todorov, V. S. Gerdjikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-15T18:12:30Z","title":"Manakov model with gain/loss terms and $N$-soliton interactions: Effects of periodic potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04897","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":"sha256:8ec3058e750a97fd123f9b1eac230896e0b3ff467f5ed390ce25e5180005b3ea","target":"record","created_at":"2026-05-18T00:25:41Z","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":"f104e9e6cc01e057f4c102f1697c5e2c428e150756fdb87c6ee34069b0ccf669","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-15T18:12:30Z","title_canon_sha256":"8495673ed38c5f3bfb2e026a10858097acfc4c0a7df3d18b62b6d6fafdca571e"},"schema_version":"1.0","source":{"id":"1801.04897","kind":"arxiv","version":2}},"canonical_sha256":"45acc2493827d66bec9431a1f9308a4a145fdb799a635c66ae5cfd01f585cf20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45acc2493827d66bec9431a1f9308a4a145fdb799a635c66ae5cfd01f585cf20","first_computed_at":"2026-05-18T00:25:41.324622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:41.324622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AKqyxU6ICMG0JCTCvF41G8aOitkyV/qk6Qr3kSH6eRAmdyqEqyABff9iWXm3zYHxqRe7Swi0w+lzyy4rxhxCAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:41.325302Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.04897","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ec3058e750a97fd123f9b1eac230896e0b3ff467f5ed390ce25e5180005b3ea","sha256:1adee04f50b07897af9923a6f88adb0ebd758e401f8ced133fa267ef96822afe"],"state_sha256":"815de1dd6d1519e82e5e0188c71b2996f6d2c818b93e5ebbb59f36154794ad7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r446HyfjSElcKZmAR/7LCp7zJr97yCBRxgUpav9+39EYdV5rQ/jf3a5dm7yFDT3EENSJUuVxdOfsDzWkBmEvCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T10:20:55.365553Z","bundle_sha256":"94797051b1425e62a4d5ff8f7c2eb48d933e7825a8a8d6a051e52e250896edbc"}}