{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:BAP6JZPOEPCUFMHEEJZOORSFZF","short_pith_number":"pith:BAP6JZPO","canonical_record":{"source":{"id":"nlin/0602060","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.PS","submitted_at":"2006-02-27T12:29:19Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"98e4746a0324d4edf2227a962ec29d54c6e6d3ed6047100576c28e7744c84b29","abstract_canon_sha256":"d7489a204fc31d947ba6499f32eea2f06abe37f7d04f77b88622a24276998679"},"schema_version":"1.0"},"canonical_sha256":"081fe4e5ee23c542b0e42272e74645c96b261c299879a83ce26179963b22199b","source":{"kind":"arxiv","id":"nlin/0602060","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0602060","created_at":"2026-05-18T03:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0602060v2","created_at":"2026-05-18T03:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0602060","created_at":"2026-05-18T03:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"BAP6JZPOEPCU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"BAP6JZPOEPCUFMHE","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"BAP6JZPO","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:BAP6JZPOEPCUFMHEEJZOORSFZF","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0602060","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.PS","submitted_at":"2006-02-27T12:29:19Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"98e4746a0324d4edf2227a962ec29d54c6e6d3ed6047100576c28e7744c84b29","abstract_canon_sha256":"d7489a204fc31d947ba6499f32eea2f06abe37f7d04f77b88622a24276998679"},"schema_version":"1.0"},"canonical_sha256":"081fe4e5ee23c542b0e42272e74645c96b261c299879a83ce26179963b22199b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:52.814998Z","signature_b64":"NoCSskuZXDRRxtC+8TavxmjbELhXQKoOmEk5SM7rMOHYi1J/XtkBGnKvPEOqRSLDURl3l06iwIwT1L828ZArDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"081fe4e5ee23c542b0e42272e74645c96b261c299879a83ce26179963b22199b","last_reissued_at":"2026-05-18T03:53:52.814386Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:52.814386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0602060","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":"2026-05-18T03:53:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zqttvdrZFy7azMzo6MEi3pgAU/1kTKy01pvKykdBQteuIQvKT79uRYl1+Jrd1DdJtHUCHbGJxJ/Z+0XojkQoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:47:44.710745Z"},"content_sha256":"d81ad2c5ad6e78d76ad044f51e85476b9be5a40dfeaa4ab0fdccacd74e501893","schema_version":"1.0","event_id":"sha256:d81ad2c5ad6e78d76ad044f51e85476b9be5a40dfeaa4ab0fdccacd74e501893"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:BAP6JZPOEPCUFMHEEJZOORSFZF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"nlin.PS","authors_text":"Moscow State University), S.Yu. Vernov (Skobeltsyn Institute of Nuclear Physics","submitted_at":"2006-02-27T12:29:19Z","abstract_excerpt":"The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead of one and the use of the residue theorem. The application of our approach to the quintic complex one-dimensional Ginzburg-Landau equation (CGLE5) allows to find elliptic solutions in the wave form. We also find restrictions on coefficients, which are necessary conditions for the existence of elliptic solutions for the CGLE5. Using the investiga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0602060","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":"2026-05-18T03:53:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tZsZ1XQhiv8BdEgpKmAy3XrbKurW8g51+s/9rZwPNvFTMhQepKYQ8c0btLtNJQK71d77Br4vpl1zHjugHFKBAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:47:44.711097Z"},"content_sha256":"2f9e67c39f1b5fac0f2ea992571d18ab799a65c4b333334f6c2742470b2a439b","schema_version":"1.0","event_id":"sha256:2f9e67c39f1b5fac0f2ea992571d18ab799a65c4b333334f6c2742470b2a439b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BAP6JZPOEPCUFMHEEJZOORSFZF/bundle.json","state_url":"https://pith.science/pith/BAP6JZPOEPCUFMHEEJZOORSFZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BAP6JZPOEPCUFMHEEJZOORSFZF/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":"2026-06-06T14:47:44Z","links":{"resolver":"https://pith.science/pith/BAP6JZPOEPCUFMHEEJZOORSFZF","bundle":"https://pith.science/pith/BAP6JZPOEPCUFMHEEJZOORSFZF/bundle.json","state":"https://pith.science/pith/BAP6JZPOEPCUFMHEEJZOORSFZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BAP6JZPOEPCUFMHEEJZOORSFZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:BAP6JZPOEPCUFMHEEJZOORSFZF","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":"d7489a204fc31d947ba6499f32eea2f06abe37f7d04f77b88622a24276998679","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"nlin.PS","submitted_at":"2006-02-27T12:29:19Z","title_canon_sha256":"98e4746a0324d4edf2227a962ec29d54c6e6d3ed6047100576c28e7744c84b29"},"schema_version":"1.0","source":{"id":"nlin/0602060","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0602060","created_at":"2026-05-18T03:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0602060v2","created_at":"2026-05-18T03:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0602060","created_at":"2026-05-18T03:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"BAP6JZPOEPCU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"BAP6JZPOEPCUFMHE","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"BAP6JZPO","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:2f9e67c39f1b5fac0f2ea992571d18ab799a65c4b333334f6c2742470b2a439b","target":"graph","created_at":"2026-05-18T03:53:52Z","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":"The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead of one and the use of the residue theorem. The application of our approach to the quintic complex one-dimensional Ginzburg-Landau equation (CGLE5) allows to find elliptic solutions in the wave form. We also find restrictions on coefficients, which are necessary conditions for the existence of elliptic solutions for the CGLE5. Using the investiga","authors_text":"Moscow State University), S.Yu. Vernov (Skobeltsyn Institute of Nuclear Physics","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"","primary_cat":"nlin.PS","submitted_at":"2006-02-27T12:29:19Z","title":"On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0602060","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:d81ad2c5ad6e78d76ad044f51e85476b9be5a40dfeaa4ab0fdccacd74e501893","target":"record","created_at":"2026-05-18T03:53:52Z","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":"d7489a204fc31d947ba6499f32eea2f06abe37f7d04f77b88622a24276998679","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"nlin.PS","submitted_at":"2006-02-27T12:29:19Z","title_canon_sha256":"98e4746a0324d4edf2227a962ec29d54c6e6d3ed6047100576c28e7744c84b29"},"schema_version":"1.0","source":{"id":"nlin/0602060","kind":"arxiv","version":2}},"canonical_sha256":"081fe4e5ee23c542b0e42272e74645c96b261c299879a83ce26179963b22199b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"081fe4e5ee23c542b0e42272e74645c96b261c299879a83ce26179963b22199b","first_computed_at":"2026-05-18T03:53:52.814386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:52.814386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NoCSskuZXDRRxtC+8TavxmjbELhXQKoOmEk5SM7rMOHYi1J/XtkBGnKvPEOqRSLDURl3l06iwIwT1L828ZArDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:52.814998Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0602060","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d81ad2c5ad6e78d76ad044f51e85476b9be5a40dfeaa4ab0fdccacd74e501893","sha256:2f9e67c39f1b5fac0f2ea992571d18ab799a65c4b333334f6c2742470b2a439b"],"state_sha256":"5f44cb17bd7015b29edada88ab4a93df7255d25c3b4617133bd3344a1c497488"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p+lVZxarWAgHFlVI0b3ul6hHMHse8hy2DsTAf6VeFAzV3dnxRTT9mrcFnqenzovlZLQGCwwvrnQwADO9Ptr0Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T14:47:44.714448Z","bundle_sha256":"a197a8e0919c1fa7bb616935768263f6b6477d691795033eae16c0a134e74935"}}