{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:URYULDIFFE6CJP2OQZV37D26NW","short_pith_number":"pith:URYULDIF","schema_version":"1.0","canonical_sha256":"a471458d05293c24bf4e866bbf8f5e6d88e83a0393129fab80894959b8696d89","source":{"kind":"arxiv","id":"1709.01200","version":2},"attestation_state":"computed","paper":{"title":"Enumeration of N-rooted maps using quantum field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"K. Krishna Gopala, Patrick Labelle, Vasilisa Shramchenko","submitted_at":"2017-09-05T00:33:01Z","abstract_excerpt":"A one-to-one correspondence is proved between the N-rooted ribbon graphs, or maps, with e edges and the (e-N+1)-loop Feynman diagrams of a certain quantum field theory. This result is used to obtain explicit expressions and relations for the generating functions of N-rooted maps and for the numbers of N-rooted maps with a given number of edges using the path integral approach applied to the corresponding quantum field theory."},"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":"1709.01200","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-09-05T00:33:01Z","cross_cats_sorted":["math.CO","math.MP"],"title_canon_sha256":"d82acf7aed9b2c2ff0722daddb6ac7a9146c3ee4dc09193e44153c9df2e76a80","abstract_canon_sha256":"2db59e2f36f3be2d9ea245c81a86b42f88ac81ee58c4285c4cf189b1d92c2d1d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:13.793064Z","signature_b64":"NpKYehDcWNL4IlowTAhmFVOjGQzv4wpUvZ1/07avmzTrPxWF8wfd2hLu/pMVXPoLNOrIqChv4UppW0P6xlYUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a471458d05293c24bf4e866bbf8f5e6d88e83a0393129fab80894959b8696d89","last_reissued_at":"2026-05-18T00:19:13.792419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:13.792419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Enumeration of N-rooted maps using quantum field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"K. Krishna Gopala, Patrick Labelle, Vasilisa Shramchenko","submitted_at":"2017-09-05T00:33:01Z","abstract_excerpt":"A one-to-one correspondence is proved between the N-rooted ribbon graphs, or maps, with e edges and the (e-N+1)-loop Feynman diagrams of a certain quantum field theory. This result is used to obtain explicit expressions and relations for the generating functions of N-rooted maps and for the numbers of N-rooted maps with a given number of edges using the path integral approach applied to the corresponding quantum field theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.01200","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1709.01200","created_at":"2026-05-18T00:19:13.792534+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.01200v2","created_at":"2026-05-18T00:19:13.792534+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.01200","created_at":"2026-05-18T00:19:13.792534+00:00"},{"alias_kind":"pith_short_12","alias_value":"URYULDIFFE6C","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"URYULDIFFE6CJP2O","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"URYULDIF","created_at":"2026-05-18T12:31:49.984773+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/URYULDIFFE6CJP2OQZV37D26NW","json":"https://pith.science/pith/URYULDIFFE6CJP2OQZV37D26NW.json","graph_json":"https://pith.science/api/pith-number/URYULDIFFE6CJP2OQZV37D26NW/graph.json","events_json":"https://pith.science/api/pith-number/URYULDIFFE6CJP2OQZV37D26NW/events.json","paper":"https://pith.science/paper/URYULDIF"},"agent_actions":{"view_html":"https://pith.science/pith/URYULDIFFE6CJP2OQZV37D26NW","download_json":"https://pith.science/pith/URYULDIFFE6CJP2OQZV37D26NW.json","view_paper":"https://pith.science/paper/URYULDIF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.01200&json=true","fetch_graph":"https://pith.science/api/pith-number/URYULDIFFE6CJP2OQZV37D26NW/graph.json","fetch_events":"https://pith.science/api/pith-number/URYULDIFFE6CJP2OQZV37D26NW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/URYULDIFFE6CJP2OQZV37D26NW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/URYULDIFFE6CJP2OQZV37D26NW/action/storage_attestation","attest_author":"https://pith.science/pith/URYULDIFFE6CJP2OQZV37D26NW/action/author_attestation","sign_citation":"https://pith.science/pith/URYULDIFFE6CJP2OQZV37D26NW/action/citation_signature","submit_replication":"https://pith.science/pith/URYULDIFFE6CJP2OQZV37D26NW/action/replication_record"}},"created_at":"2026-05-18T00:19:13.792534+00:00","updated_at":"2026-05-18T00:19:13.792534+00:00"}