{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5SFJHOIL323X26WQXPHSRZVRBO","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":"d20506fdce3872e1cb680100d1d8051c823c024e32a026a1195989ee2afef9bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-23T14:24:00Z","title_canon_sha256":"53857fccaa7aaf9156aa01f5e1dca1998274a1fa50003dc96b9d6622468eb095"},"schema_version":"1.0","source":{"id":"1705.08308","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08308","created_at":"2026-05-18T00:43:48Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08308v1","created_at":"2026-05-18T00:43:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08308","created_at":"2026-05-18T00:43:48Z"},{"alias_kind":"pith_short_12","alias_value":"5SFJHOIL323X","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5SFJHOIL323X26WQ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5SFJHOIL","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:1054cb0ceefddc8291c8931580d161e47a43bad75725f22403c7a9b71c93564e","target":"graph","created_at":"2026-05-18T00:43:48Z","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 moduli spaces of rational covers of an arbitrary smooth tropical curve in R^r as tropical varieties. They are contained in the balanced fan parametrizing tropical stable maps of the appropriate degree to R^r. The weights of the top-dimensional polyhedra are given in terms of certain lattice indices and local Hurwitz numbers.","authors_text":"Andreas Gathmann, Dennis Ochse, Hannah Markwig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-23T14:24:00Z","title":"Tropical moduli spaces of stable maps to a curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08308","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:b5cef8c03aa8d260908f4123c762da6aa5b92798a35898bb8aef836a53a8b2c6","target":"record","created_at":"2026-05-18T00:43:48Z","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":"d20506fdce3872e1cb680100d1d8051c823c024e32a026a1195989ee2afef9bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-23T14:24:00Z","title_canon_sha256":"53857fccaa7aaf9156aa01f5e1dca1998274a1fa50003dc96b9d6622468eb095"},"schema_version":"1.0","source":{"id":"1705.08308","kind":"arxiv","version":1}},"canonical_sha256":"ec8a93b90bdeb77d7ad0bbcf28e6b10bb2ef2690c515138143c3759a26adc2f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec8a93b90bdeb77d7ad0bbcf28e6b10bb2ef2690c515138143c3759a26adc2f6","first_computed_at":"2026-05-18T00:43:48.671165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:48.671165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"02oKT/7mbwtYXzx+X6MxrcSSmQLb/82WH4/nvsWCq7AONdFnfsDpiD5QI/Vlze7Bh3RcYQfUAyjT99s/ghQaDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:48.671881Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08308","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5cef8c03aa8d260908f4123c762da6aa5b92798a35898bb8aef836a53a8b2c6","sha256:1054cb0ceefddc8291c8931580d161e47a43bad75725f22403c7a9b71c93564e"],"state_sha256":"490bc235330bc33de6e35e4feaea7d75410ad13ccf2da43711034f21c1e1ea54"}