{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TBHYW4YLQBFOBLVZUOSLWY3VVT","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":"1cb52444528003028802d0f140e926e72f9133fef77e4f7da80208cdb4357112","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-10-26T18:57:32Z","title_canon_sha256":"8ac451c3dd1452734fb0cde354e0ecbdb8d4c666cdcc5f598ea0868c9318e4c8"},"schema_version":"1.0","source":{"id":"1810.11504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.11504","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1810.11504v1","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11504","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"TBHYW4YLQBFO","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TBHYW4YLQBFOBLVZ","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TBHYW4YL","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:8d5da1a449dca3140b88707bed3cf2856516a9392427d0c96460d31aa45e095c","target":"graph","created_at":"2026-05-17T23:59:04Z","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 dynamical behavior resulting from an initial discontinuity in focusing media is investigated using a combination of numerical simulations and Whitham modulation theory for the focusing nonlinear Schrodinger equation. Initial conditions with a jump in either or both the amplitude and the local wavenumber are considered. It is shown analytically and numerically that the space-time plane divides into expanding domains in which the solution is described by a slow modulation of genus-zero, genus-one or genus-two solutions, their precise arrangement depending on the specifics of the initial datu","authors_text":"Gino Biondini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-10-26T18:57:32Z","title":"Riemann problems and dispersive shocks in self-focusing media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11504","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":"sha256:1e8661d90ee7944f358716d2ce2a619fff02ae003c6ba8fec9e772bc5e393cb2","target":"record","created_at":"2026-05-17T23:59:04Z","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":"1cb52444528003028802d0f140e926e72f9133fef77e4f7da80208cdb4357112","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-10-26T18:57:32Z","title_canon_sha256":"8ac451c3dd1452734fb0cde354e0ecbdb8d4c666cdcc5f598ea0868c9318e4c8"},"schema_version":"1.0","source":{"id":"1810.11504","kind":"arxiv","version":1}},"canonical_sha256":"984f8b730b804ae0aeb9a3a4bb6375acd3d73bfbb9006538380fb5a31c7cd69a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"984f8b730b804ae0aeb9a3a4bb6375acd3d73bfbb9006538380fb5a31c7cd69a","first_computed_at":"2026-05-17T23:59:04.368526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:04.368526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VcQk74dTWfIEFFtgNf82jSBPcZeLoAj21w6SUXE1bx9+3e6PTK6yMqmog0KqmkG/vnDSJwVCxABfggfYyScvBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:04.368914Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.11504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e8661d90ee7944f358716d2ce2a619fff02ae003c6ba8fec9e772bc5e393cb2","sha256:8d5da1a449dca3140b88707bed3cf2856516a9392427d0c96460d31aa45e095c"],"state_sha256":"ace28e1a489c5c5384b1fe3c16c71fe7ad0b66304095df24db08e1ef47a37543"}