{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TGQORBXJ7KYBY3QIXQIVKANJPL","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":"79051dfe840baa30a8ea99b4ed223bbd24d43b632ae47f6634a04562165c15a1","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2012-12-19T22:25:34Z","title_canon_sha256":"fa4180ae053a37a3ba087c44377e6461bcb607aa6de79935c3801ff1dc8b2ec5"},"schema_version":"1.0","source":{"id":"1301.2997","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2997","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2997v2","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2997","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"TGQORBXJ7KYB","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TGQORBXJ7KYBY3QI","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TGQORBXJ","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:24dbd77f63072790c02cfe76584a2c293caf33ab1bb29dd78b60507d18d12601","target":"graph","created_at":"2026-05-18T00:16:03Z","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":"By using ZEUS cluster at Embry-Riddle Aeronautical University we perform extensive numerical simulations based on a two-dimensional Fourier spectral method Fourier spatial discretization and an explicit scheme for time differencing) to find the range of existence of the spatiotemporal solitons of the two-dimensional complex Ginzburg-Landau equation with cubic and quintic nonlinearities. We start from the parameters used by Akhmediev {\\it et. al.} and slowly vary them one by one to determine the regimes where solitons exist as stable/unstable structures. We present eight classes of dissipative ","authors_text":"Charles-Julien Vandamme, Florent B\\'erard, Stefan C. Mancas","cross_cats":["nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2012-12-19T22:25:34Z","title":"Two-dimensional structures in the quintic Ginzburg-Landau equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2997","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:ada756685ccb7384918e7e29f4cc5a610c7c8495fda9d444bac8478d5511cf56","target":"record","created_at":"2026-05-18T00:16:03Z","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":"79051dfe840baa30a8ea99b4ed223bbd24d43b632ae47f6634a04562165c15a1","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2012-12-19T22:25:34Z","title_canon_sha256":"fa4180ae053a37a3ba087c44377e6461bcb607aa6de79935c3801ff1dc8b2ec5"},"schema_version":"1.0","source":{"id":"1301.2997","kind":"arxiv","version":2}},"canonical_sha256":"99a0e886e9fab01c6e08bc115501a97ac85609c96254bb4cd25639103084ff68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99a0e886e9fab01c6e08bc115501a97ac85609c96254bb4cd25639103084ff68","first_computed_at":"2026-05-18T00:16:03.432730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:03.432730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3CwJ0t3Y3X+TzmdLn5K8yglxw4uT59iHLQw8HWjcAYsdGFyXouwBAItWV1qF6k8b09L4A5KFA7RiSdzz5tXJCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:03.433054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2997","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ada756685ccb7384918e7e29f4cc5a610c7c8495fda9d444bac8478d5511cf56","sha256:24dbd77f63072790c02cfe76584a2c293caf33ab1bb29dd78b60507d18d12601"],"state_sha256":"18c182bc4db41124ea43fae28a4411d8fd442d3442a932886be6b542a6030174"}