{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IZOIH23WJFXSLVVR7UP2DVTEGB","short_pith_number":"pith:IZOIH23W","canonical_record":{"source":{"id":"1607.04386","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-07-15T06:15:14Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"d351b1bb894fe44fa7440e5a6cf284e22b6dad7a04a38d8f93c6f05028e338c7","abstract_canon_sha256":"d7f0d78a7d0aea758b56bf7b694c484b1492af7ff0ccac8200b24cca1e2e0f80"},"schema_version":"1.0"},"canonical_sha256":"465c83eb76496f25d6b1fd1fa1d664304a80d619483554c88b2594dba983d6aa","source":{"kind":"arxiv","id":"1607.04386","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04386","created_at":"2026-05-18T01:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04386v1","created_at":"2026-05-18T01:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04386","created_at":"2026-05-18T01:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"IZOIH23WJFXS","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IZOIH23WJFXSLVVR","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IZOIH23W","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IZOIH23WJFXSLVVR7UP2DVTEGB","target":"record","payload":{"canonical_record":{"source":{"id":"1607.04386","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-07-15T06:15:14Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"d351b1bb894fe44fa7440e5a6cf284e22b6dad7a04a38d8f93c6f05028e338c7","abstract_canon_sha256":"d7f0d78a7d0aea758b56bf7b694c484b1492af7ff0ccac8200b24cca1e2e0f80"},"schema_version":"1.0"},"canonical_sha256":"465c83eb76496f25d6b1fd1fa1d664304a80d619483554c88b2594dba983d6aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:16.122001Z","signature_b64":"9sm63qfWQbmyxTKmRY2So6+GF4ud4VI3nsSu6YGAwd8WkWVf6Odd5yg5UqLty5p2sn+P643sWWgvdzNBgpoJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"465c83eb76496f25d6b1fd1fa1d664304a80d619483554c88b2594dba983d6aa","last_reissued_at":"2026-05-18T01:08:16.121383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:16.121383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.04386","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":"2026-05-18T01:08:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ssflKtrtmzNf6a1xffMp+OrlgnYsKtl1Ea2zCAoX19+bpAiX4cUk3q/be8/sYYH3hgkmaAWC1LrOkuRVrD80Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:00:33.512194Z"},"content_sha256":"ff2784954f829d678540ed30fbcb170671e8afa50d97a5158c2e8f9ed7c1843d","schema_version":"1.0","event_id":"sha256:ff2784954f829d678540ed30fbcb170671e8afa50d97a5158c2e8f9ed7c1843d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IZOIH23WJFXSLVVR7UP2DVTEGB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An analysis of spatiotemporal localized solutions in the variable coefficients (3+1)-dimensional nonlinear Schr\\\"{o}dinger equation with six different forms of dispersion parameters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.SI","authors_text":"K. Manikandan, M. Senthilvelan","submitted_at":"2016-07-15T06:15:14Z","abstract_excerpt":"We construct spatiotemporal localized envelope solutions of a (3+1)-dimensional nonlinear Schr\\\"{o}dinger equation with varying coefficients such as dispersion, nonlinearity and gain parameters through similarity transformation technique. The obtained localized rational solutions can serve as prototypes of rogue waves in different branches of science. We investigate the characteristics of constructed localized solutions in detail when it propagates through six different dispersion profiles, namely constant, linear, Gaussian, hyperbolic, logarithm and exponential. We also obtain expressions for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04386","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":"2026-05-18T01:08:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hsrvBe3NlJlybAP88WLTIpj5w76s4BlZhqHWMc1u5JBsYzIHOZGeCppWkydn63AkR7/g/nr+XgWxMHvoAnazCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:00:33.512791Z"},"content_sha256":"9ec6954383975a7d37d8282e97bafc59c560d1ac21140ae06131015bf5651a12","schema_version":"1.0","event_id":"sha256:9ec6954383975a7d37d8282e97bafc59c560d1ac21140ae06131015bf5651a12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IZOIH23WJFXSLVVR7UP2DVTEGB/bundle.json","state_url":"https://pith.science/pith/IZOIH23WJFXSLVVR7UP2DVTEGB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IZOIH23WJFXSLVVR7UP2DVTEGB/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":"2026-06-23T17:00:33Z","links":{"resolver":"https://pith.science/pith/IZOIH23WJFXSLVVR7UP2DVTEGB","bundle":"https://pith.science/pith/IZOIH23WJFXSLVVR7UP2DVTEGB/bundle.json","state":"https://pith.science/pith/IZOIH23WJFXSLVVR7UP2DVTEGB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IZOIH23WJFXSLVVR7UP2DVTEGB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IZOIH23WJFXSLVVR7UP2DVTEGB","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":"d7f0d78a7d0aea758b56bf7b694c484b1492af7ff0ccac8200b24cca1e2e0f80","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-07-15T06:15:14Z","title_canon_sha256":"d351b1bb894fe44fa7440e5a6cf284e22b6dad7a04a38d8f93c6f05028e338c7"},"schema_version":"1.0","source":{"id":"1607.04386","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04386","created_at":"2026-05-18T01:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04386v1","created_at":"2026-05-18T01:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04386","created_at":"2026-05-18T01:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"IZOIH23WJFXS","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IZOIH23WJFXSLVVR","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IZOIH23W","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:9ec6954383975a7d37d8282e97bafc59c560d1ac21140ae06131015bf5651a12","target":"graph","created_at":"2026-05-18T01:08:16Z","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 construct spatiotemporal localized envelope solutions of a (3+1)-dimensional nonlinear Schr\\\"{o}dinger equation with varying coefficients such as dispersion, nonlinearity and gain parameters through similarity transformation technique. The obtained localized rational solutions can serve as prototypes of rogue waves in different branches of science. We investigate the characteristics of constructed localized solutions in detail when it propagates through six different dispersion profiles, namely constant, linear, Gaussian, hyperbolic, logarithm and exponential. We also obtain expressions for","authors_text":"K. Manikandan, M. Senthilvelan","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-07-15T06:15:14Z","title":"An analysis of spatiotemporal localized solutions in the variable coefficients (3+1)-dimensional nonlinear Schr\\\"{o}dinger equation with six different forms of dispersion parameters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04386","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:ff2784954f829d678540ed30fbcb170671e8afa50d97a5158c2e8f9ed7c1843d","target":"record","created_at":"2026-05-18T01:08:16Z","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":"d7f0d78a7d0aea758b56bf7b694c484b1492af7ff0ccac8200b24cca1e2e0f80","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-07-15T06:15:14Z","title_canon_sha256":"d351b1bb894fe44fa7440e5a6cf284e22b6dad7a04a38d8f93c6f05028e338c7"},"schema_version":"1.0","source":{"id":"1607.04386","kind":"arxiv","version":1}},"canonical_sha256":"465c83eb76496f25d6b1fd1fa1d664304a80d619483554c88b2594dba983d6aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"465c83eb76496f25d6b1fd1fa1d664304a80d619483554c88b2594dba983d6aa","first_computed_at":"2026-05-18T01:08:16.121383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:16.121383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9sm63qfWQbmyxTKmRY2So6+GF4ud4VI3nsSu6YGAwd8WkWVf6Odd5yg5UqLty5p2sn+P643sWWgvdzNBgpoJCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:16.122001Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.04386","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff2784954f829d678540ed30fbcb170671e8afa50d97a5158c2e8f9ed7c1843d","sha256:9ec6954383975a7d37d8282e97bafc59c560d1ac21140ae06131015bf5651a12"],"state_sha256":"6b49c61ceaae5e38ecf055e4ff6ad9e99dfbf195f05300d4fcd324647afc6ba1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xIiwblzlCo13viWm/KmveckXlpHubCucUfBRntnaEu2vJL3jkldlEUqe0blaP0XzS2c2egTyMJ2Kg1dNycUNCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:00:33.514760Z","bundle_sha256":"1b12c7829127cbd331e3dcd173849294653f22cf307261c21edea0226fe8f99f"}}