{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:HMKHYNOVVJHAZ44O5WDICPC32L","short_pith_number":"pith:HMKHYNOV","schema_version":"1.0","canonical_sha256":"3b147c35d5aa4e0cf38eed86813c5bd2d18ca8945c5184fe52309da4e85cd509","source":{"kind":"arxiv","id":"1804.07807","version":4},"attestation_state":"computed","paper":{"title":"Determining Genus From Sandpile Torsor Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Alex McDonough","submitted_at":"2018-04-20T19:33:16Z","abstract_excerpt":"We provide a pair of ribbon graphs that have the same rotor routing and Bernardi sandpile torsors, but different topological genus. This resolves a question posed by M. Chan [Cha]. We also show that if we are given a graph, but not its ribbon structure, along with the rotor routing sandpile torsors, we are able to determine the ribbon graph's genus."},"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":"1804.07807","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-04-20T19:33:16Z","cross_cats_sorted":[],"title_canon_sha256":"e17e6c55b5554ae486dffa5a7581b7df0445de2d651c5a7727af55f73a47d488","abstract_canon_sha256":"ae5004a132ee480ea8fd9276d0ebafd92bd8aa13516afdff51cb763a34f8cfee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:23:24.026637Z","signature_b64":"W5xHKOAqBghhwBcvFwXRZLxl0YgkpFdB1KUv5btMvnTaYDFzxdM1R43xThK2PcWwBWALD57NhAWhsvQkRaLzAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b147c35d5aa4e0cf38eed86813c5bd2d18ca8945c5184fe52309da4e85cd509","last_reissued_at":"2026-07-05T06:23:24.026280Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:23:24.026280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Determining Genus From Sandpile Torsor Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Alex McDonough","submitted_at":"2018-04-20T19:33:16Z","abstract_excerpt":"We provide a pair of ribbon graphs that have the same rotor routing and Bernardi sandpile torsors, but different topological genus. This resolves a question posed by M. Chan [Cha]. We also show that if we are given a graph, but not its ribbon structure, along with the rotor routing sandpile torsors, we are able to determine the ribbon graph's genus."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07807","kind":"arxiv","version":4},"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/1804.07807/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":"1804.07807","created_at":"2026-07-05T06:23:24.026343+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.07807v4","created_at":"2026-07-05T06:23:24.026343+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07807","created_at":"2026-07-05T06:23:24.026343+00:00"},{"alias_kind":"pith_short_12","alias_value":"HMKHYNOVVJHA","created_at":"2026-07-05T06:23:24.026343+00:00"},{"alias_kind":"pith_short_16","alias_value":"HMKHYNOVVJHAZ44O","created_at":"2026-07-05T06:23:24.026343+00:00"},{"alias_kind":"pith_short_8","alias_value":"HMKHYNOV","created_at":"2026-07-05T06:23:24.026343+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HMKHYNOVVJHAZ44O5WDICPC32L","json":"https://pith.science/pith/HMKHYNOVVJHAZ44O5WDICPC32L.json","graph_json":"https://pith.science/api/pith-number/HMKHYNOVVJHAZ44O5WDICPC32L/graph.json","events_json":"https://pith.science/api/pith-number/HMKHYNOVVJHAZ44O5WDICPC32L/events.json","paper":"https://pith.science/paper/HMKHYNOV"},"agent_actions":{"view_html":"https://pith.science/pith/HMKHYNOVVJHAZ44O5WDICPC32L","download_json":"https://pith.science/pith/HMKHYNOVVJHAZ44O5WDICPC32L.json","view_paper":"https://pith.science/paper/HMKHYNOV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.07807&json=true","fetch_graph":"https://pith.science/api/pith-number/HMKHYNOVVJHAZ44O5WDICPC32L/graph.json","fetch_events":"https://pith.science/api/pith-number/HMKHYNOVVJHAZ44O5WDICPC32L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HMKHYNOVVJHAZ44O5WDICPC32L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HMKHYNOVVJHAZ44O5WDICPC32L/action/storage_attestation","attest_author":"https://pith.science/pith/HMKHYNOVVJHAZ44O5WDICPC32L/action/author_attestation","sign_citation":"https://pith.science/pith/HMKHYNOVVJHAZ44O5WDICPC32L/action/citation_signature","submit_replication":"https://pith.science/pith/HMKHYNOVVJHAZ44O5WDICPC32L/action/replication_record"}},"created_at":"2026-07-05T06:23:24.026343+00:00","updated_at":"2026-07-05T06:23:24.026343+00:00"}