{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BZHDLFWMH4YU53GARJMXZZPBRE","short_pith_number":"pith:BZHDLFWM","schema_version":"1.0","canonical_sha256":"0e4e3596cc3f314eecc08a597ce5e18939b7bb3cc5957ff86f1bba52499172b0","source":{"kind":"arxiv","id":"1312.0934","version":3},"attestation_state":"computed","paper":{"title":"Feynman Diagrams and Rooted Maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP","quant-ph"],"primary_cat":"nucl-th","authors_text":"A. Prunotto, P. Czerski, W.M. Alberico","submitted_at":"2013-12-03T20:55:40Z","abstract_excerpt":"The Rooted Maps Theory, a branch of the Theory of Homology, is shown to be a powerful tool for investigating the topological properties of Feynman diagrams, related to the single particle propagator in the quantum many-body systems. The numerical correspondence between the number of this class of Feynman diagrams as a function of perturbative order and the number of rooted maps as a function of the number of edges is studied. A graphical procedure to associate Feynman diagrams and rooted maps is then stated. Finally, starting from rooted maps principles, an original definition of the genus of "},"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":"1312.0934","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-12-03T20:55:40Z","cross_cats_sorted":["hep-ph","math-ph","math.MP","quant-ph"],"title_canon_sha256":"dccc93bbd4e6be2a279aa9b7dcd93d92e93e8c3ffbde5cf78b862c2996f842c8","abstract_canon_sha256":"772b1404d976bff6ce8a30aa263e398e540eef0bf6bd91b6037a6f05f4cda08e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:29.037300Z","signature_b64":"NyP3IQPSr0/vuzO9kTt7xO681c+vT4buOkrNfP3MieiOJuGzKd+uIP7RRdjvOnxSdLl38ewqTcjlKCsCi8JrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e4e3596cc3f314eecc08a597ce5e18939b7bb3cc5957ff86f1bba52499172b0","last_reissued_at":"2026-05-18T00:40:29.036704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:29.036704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Feynman Diagrams and Rooted Maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP","quant-ph"],"primary_cat":"nucl-th","authors_text":"A. Prunotto, P. Czerski, W.M. Alberico","submitted_at":"2013-12-03T20:55:40Z","abstract_excerpt":"The Rooted Maps Theory, a branch of the Theory of Homology, is shown to be a powerful tool for investigating the topological properties of Feynman diagrams, related to the single particle propagator in the quantum many-body systems. The numerical correspondence between the number of this class of Feynman diagrams as a function of perturbative order and the number of rooted maps as a function of the number of edges is studied. A graphical procedure to associate Feynman diagrams and rooted maps is then stated. Finally, starting from rooted maps principles, an original definition of the genus of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0934","kind":"arxiv","version":3},"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":"1312.0934","created_at":"2026-05-18T00:40:29.036807+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.0934v3","created_at":"2026-05-18T00:40:29.036807+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0934","created_at":"2026-05-18T00:40:29.036807+00:00"},{"alias_kind":"pith_short_12","alias_value":"BZHDLFWMH4YU","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"BZHDLFWMH4YU53GA","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"BZHDLFWM","created_at":"2026-05-18T12:27:40.988391+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/BZHDLFWMH4YU53GARJMXZZPBRE","json":"https://pith.science/pith/BZHDLFWMH4YU53GARJMXZZPBRE.json","graph_json":"https://pith.science/api/pith-number/BZHDLFWMH4YU53GARJMXZZPBRE/graph.json","events_json":"https://pith.science/api/pith-number/BZHDLFWMH4YU53GARJMXZZPBRE/events.json","paper":"https://pith.science/paper/BZHDLFWM"},"agent_actions":{"view_html":"https://pith.science/pith/BZHDLFWMH4YU53GARJMXZZPBRE","download_json":"https://pith.science/pith/BZHDLFWMH4YU53GARJMXZZPBRE.json","view_paper":"https://pith.science/paper/BZHDLFWM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.0934&json=true","fetch_graph":"https://pith.science/api/pith-number/BZHDLFWMH4YU53GARJMXZZPBRE/graph.json","fetch_events":"https://pith.science/api/pith-number/BZHDLFWMH4YU53GARJMXZZPBRE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BZHDLFWMH4YU53GARJMXZZPBRE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BZHDLFWMH4YU53GARJMXZZPBRE/action/storage_attestation","attest_author":"https://pith.science/pith/BZHDLFWMH4YU53GARJMXZZPBRE/action/author_attestation","sign_citation":"https://pith.science/pith/BZHDLFWMH4YU53GARJMXZZPBRE/action/citation_signature","submit_replication":"https://pith.science/pith/BZHDLFWMH4YU53GARJMXZZPBRE/action/replication_record"}},"created_at":"2026-05-18T00:40:29.036807+00:00","updated_at":"2026-05-18T00:40:29.036807+00:00"}