{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WMWO5EQZ2P4WKSHFU7NGPU7IAS","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":"13d246c610a054f159e0beba19ffcfcbbf00df1b1bff420c5dccf2f20a59be86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-08T22:59:06Z","title_canon_sha256":"26474bdf8205aa7e3095e30397c9803ea3c613c5c723cb22ed46310441489f0f"},"schema_version":"1.0","source":{"id":"1606.02778","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.02778","created_at":"2026-05-18T00:50:57Z"},{"alias_kind":"arxiv_version","alias_value":"1606.02778v3","created_at":"2026-05-18T00:50:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02778","created_at":"2026-05-18T00:50:57Z"},{"alias_kind":"pith_short_12","alias_value":"WMWO5EQZ2P4W","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WMWO5EQZ2P4WKSHF","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WMWO5EQZ","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:4eac716ba11819a5308481890d144662acd8b3058668c7d44568bd46815a6a10","target":"graph","created_at":"2026-05-18T00:50:57Z","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":"These are notes for a series of five lectures on \"Moduli and degenerations of algebraic curves via tropical geometry\" delivered at the CIMPA-CIMAT-ICTP School on Moduli of Curves, February 29-March 4, 2016 in Guanajuato, Mexico.","authors_text":"Melody Chan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-08T22:59:06Z","title":"Lectures on tropical curves and their moduli spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02778","kind":"arxiv","version":3},"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:e80d5c9bfbe44e9424f02f3c44eccb64b6e89975adcf75f3b247252ce4cc5fa4","target":"record","created_at":"2026-05-18T00:50:57Z","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":"13d246c610a054f159e0beba19ffcfcbbf00df1b1bff420c5dccf2f20a59be86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-08T22:59:06Z","title_canon_sha256":"26474bdf8205aa7e3095e30397c9803ea3c613c5c723cb22ed46310441489f0f"},"schema_version":"1.0","source":{"id":"1606.02778","kind":"arxiv","version":3}},"canonical_sha256":"b32cee9219d3f96548e5a7da67d3e804afc37fa3befaf74b55c1362ebbfe84fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b32cee9219d3f96548e5a7da67d3e804afc37fa3befaf74b55c1362ebbfe84fb","first_computed_at":"2026-05-18T00:50:57.044774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:57.044774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SUm2ZQA5CHofATpKkh6p7Qy540f9P+7lXlc6SAbbZMsdGB1dxpC16Zcky/QeaqkxxuLfRWJPwL6EruSfVCONBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:57.045481Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.02778","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e80d5c9bfbe44e9424f02f3c44eccb64b6e89975adcf75f3b247252ce4cc5fa4","sha256:4eac716ba11819a5308481890d144662acd8b3058668c7d44568bd46815a6a10"],"state_sha256":"d699fbcaa84cc58a8414c5aa4fb6bfc6ff57ce9ce507cb8ca93079788cd9e9a7"}