{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:M27W7DLNFOK2SXB5EQ3ITX4GIL","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":"ab1c851e84784964737454ebe50b2086a2f2623351c6f71f8a20e2d8b029f3e5","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-30T18:16:34Z","title_canon_sha256":"f822eef65493987133699e3ea0d2ccd3f988ec8af2f9da1946399be06f26ab6d"},"schema_version":"1.0","source":{"id":"1705.10811","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10811","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10811v1","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10811","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"pith_short_12","alias_value":"M27W7DLNFOK2","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"pith_short_16","alias_value":"M27W7DLNFOK2SXB5","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"pith_short_8","alias_value":"M27W7DLN","created_at":"2026-07-05T02:44:30Z"}],"graph_snapshots":[{"event_id":"sha256:273c0eeb634c65cd1dbdcca856417d3777851324a4a4c65919f5594319cae6b6","target":"graph","created_at":"2026-07-05T02:44:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1705.10811/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the orbifold version of Zvonkine's $r$-ELSV formula in two special cases: the case of $r=2$ (complete $3$-cycles) for any genus $g\\geq 0$ and the case of any $r\\geq 1$ for genus $g=0$.","authors_text":"Alexandr Popolitov, Danilo Lewanski, Ga\\\"etan Borot, Reinier Kramer, Sergey Shadrin","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-30T18:16:34Z","title":"Special cases of the orbifold version of Zvonkine's $r$-ELSV formula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10811","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":"sha256:0dcbd65156bd726adbae20665bb93e450253471d30e71c3b910969172dea7578","target":"record","created_at":"2026-07-05T02:44:30Z","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":"ab1c851e84784964737454ebe50b2086a2f2623351c6f71f8a20e2d8b029f3e5","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-30T18:16:34Z","title_canon_sha256":"f822eef65493987133699e3ea0d2ccd3f988ec8af2f9da1946399be06f26ab6d"},"schema_version":"1.0","source":{"id":"1705.10811","kind":"arxiv","version":1}},"canonical_sha256":"66bf6f8d6d2b95a95c3d243689df8642f0d5b02d040287fcef2ba56c6a581475","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66bf6f8d6d2b95a95c3d243689df8642f0d5b02d040287fcef2ba56c6a581475","first_computed_at":"2026-07-05T02:44:30.264282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:44:30.264282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4UklIDpyQDFyfs6bpJXZnh9XvdW8SW4Rk0fTrUGWMJg/nabqWzgTewG+a1HxW55zVLXzafihYUlPmh7cjaZ4BA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:44:30.264720Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10811","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0dcbd65156bd726adbae20665bb93e450253471d30e71c3b910969172dea7578","sha256:273c0eeb634c65cd1dbdcca856417d3777851324a4a4c65919f5594319cae6b6"],"state_sha256":"a49517fedf7f1dc775571bcebb9e6ec7bd0956672a8e007177499e21403ec862"}