{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KT4ANS65PA2MINUOLQEYVLZLP6","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":"d2ed35bfa5fb35a6758d014593bfcec229dd5c82432b1ab9d2b9fce4d13725b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-10-08T01:29:31Z","title_canon_sha256":"8c41238ae212070bead042b86153eb1cd6e74284efadf8460085385a558ae7ce"},"schema_version":"1.0","source":{"id":"1410.1964","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1964","created_at":"2026-05-18T01:20:50Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1964v1","created_at":"2026-05-18T01:20:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1964","created_at":"2026-05-18T01:20:50Z"},{"alias_kind":"pith_short_12","alias_value":"KT4ANS65PA2M","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KT4ANS65PA2MINUO","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KT4ANS65","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:2d40a40576d5e99391d0df877235bf48c838589a1314b9bdd36a96ddbb733a92","target":"graph","created_at":"2026-05-18T01:20:50Z","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":"A natural kind of compactification of the virtual moduli spaces of rational functions of one complex variable is given. To describe the boundary points geometrically, the authors introduce the concept of rational functions with nodes, defined on partially crushed punctured Riemann spheres with nodes.","authors_text":"Masahiko Taniguchi, Masayo Fujimura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-10-08T01:29:31Z","title":"Rational functions with nodes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1964","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":"sha256:51b125aa98f6ec70d714bfac3b9b2a8d407487280cf496f718aecd51ad0e0b84","target":"record","created_at":"2026-05-18T01:20:50Z","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":"d2ed35bfa5fb35a6758d014593bfcec229dd5c82432b1ab9d2b9fce4d13725b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-10-08T01:29:31Z","title_canon_sha256":"8c41238ae212070bead042b86153eb1cd6e74284efadf8460085385a558ae7ce"},"schema_version":"1.0","source":{"id":"1410.1964","kind":"arxiv","version":1}},"canonical_sha256":"54f806cbdd7834c4368e5c098aaf2b7f81295dce40fadf7c1779c4ec2ccbb365","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54f806cbdd7834c4368e5c098aaf2b7f81295dce40fadf7c1779c4ec2ccbb365","first_computed_at":"2026-05-18T01:20:50.680045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:50.680045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q/UUn5jeOq5R7ZsfHxYC9B77i/EjIbjk0LtL1zbToTX2ze8/1LTQIFPPO/fMbUZKSoCMmhh5GS6ejLkqFTN2Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:50.680416Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1964","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51b125aa98f6ec70d714bfac3b9b2a8d407487280cf496f718aecd51ad0e0b84","sha256:2d40a40576d5e99391d0df877235bf48c838589a1314b9bdd36a96ddbb733a92"],"state_sha256":"e256afe7e27dfdf31b848068d8590644d5f87480ec8f9f96f5003b65729c6635"}