{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:M27W7DLNFOK2SXB5EQ3ITX4GIL","short_pith_number":"pith:M27W7DLN","schema_version":"1.0","canonical_sha256":"66bf6f8d6d2b95a95c3d243689df8642f0d5b02d040287fcef2ba56c6a581475","source":{"kind":"arxiv","id":"1705.10811","version":1},"attestation_state":"computed","paper":{"title":"Special cases of the orbifold version of Zvonkine's $r$-ELSV formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.AG","authors_text":"Alexandr Popolitov, Danilo Lewanski, Ga\\\"etan Borot, Reinier Kramer, Sergey Shadrin","submitted_at":"2017-05-30T18:16:34Z","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 $g=0$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.10811","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-30T18:16:34Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"f822eef65493987133699e3ea0d2ccd3f988ec8af2f9da1946399be06f26ab6d","abstract_canon_sha256":"ab1c851e84784964737454ebe50b2086a2f2623351c6f71f8a20e2d8b029f3e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:44:30.264720Z","signature_b64":"4UklIDpyQDFyfs6bpJXZnh9XvdW8SW4Rk0fTrUGWMJg/nabqWzgTewG+a1HxW55zVLXzafihYUlPmh7cjaZ4BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66bf6f8d6d2b95a95c3d243689df8642f0d5b02d040287fcef2ba56c6a581475","last_reissued_at":"2026-07-05T02:44:30.264282Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:44:30.264282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Special cases of the orbifold version of Zvonkine's $r$-ELSV formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.AG","authors_text":"Alexandr Popolitov, Danilo Lewanski, Ga\\\"etan Borot, Reinier Kramer, Sergey Shadrin","submitted_at":"2017-05-30T18:16:34Z","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 $g=0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10811","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1705.10811/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.10811","created_at":"2026-07-05T02:44:30.264352+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.10811v1","created_at":"2026-07-05T02:44:30.264352+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10811","created_at":"2026-07-05T02:44:30.264352+00:00"},{"alias_kind":"pith_short_12","alias_value":"M27W7DLNFOK2","created_at":"2026-07-05T02:44:30.264352+00:00"},{"alias_kind":"pith_short_16","alias_value":"M27W7DLNFOK2SXB5","created_at":"2026-07-05T02:44:30.264352+00:00"},{"alias_kind":"pith_short_8","alias_value":"M27W7DLN","created_at":"2026-07-05T02:44:30.264352+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.02302","citing_title":"Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M27W7DLNFOK2SXB5EQ3ITX4GIL","json":"https://pith.science/pith/M27W7DLNFOK2SXB5EQ3ITX4GIL.json","graph_json":"https://pith.science/api/pith-number/M27W7DLNFOK2SXB5EQ3ITX4GIL/graph.json","events_json":"https://pith.science/api/pith-number/M27W7DLNFOK2SXB5EQ3ITX4GIL/events.json","paper":"https://pith.science/paper/M27W7DLN"},"agent_actions":{"view_html":"https://pith.science/pith/M27W7DLNFOK2SXB5EQ3ITX4GIL","download_json":"https://pith.science/pith/M27W7DLNFOK2SXB5EQ3ITX4GIL.json","view_paper":"https://pith.science/paper/M27W7DLN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.10811&json=true","fetch_graph":"https://pith.science/api/pith-number/M27W7DLNFOK2SXB5EQ3ITX4GIL/graph.json","fetch_events":"https://pith.science/api/pith-number/M27W7DLNFOK2SXB5EQ3ITX4GIL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M27W7DLNFOK2SXB5EQ3ITX4GIL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M27W7DLNFOK2SXB5EQ3ITX4GIL/action/storage_attestation","attest_author":"https://pith.science/pith/M27W7DLNFOK2SXB5EQ3ITX4GIL/action/author_attestation","sign_citation":"https://pith.science/pith/M27W7DLNFOK2SXB5EQ3ITX4GIL/action/citation_signature","submit_replication":"https://pith.science/pith/M27W7DLNFOK2SXB5EQ3ITX4GIL/action/replication_record"}},"created_at":"2026-07-05T02:44:30.264352+00:00","updated_at":"2026-07-05T02:44:30.264352+00:00"}