{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:43FKBKZT4W5K3FKKLS3X5OBKKL","short_pith_number":"pith:43FKBKZT","schema_version":"1.0","canonical_sha256":"e6caa0ab33e5baad954a5cb77eb82a52c15f378d4af46d35839bc96c78d06216","source":{"kind":"arxiv","id":"2207.03732","version":1},"attestation_state":"computed","paper":{"title":"Path Integrals and p-adic L-functions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.NT","authors_text":"Dohyeong Kim, Hee-Joong Chung, Hwajong Yoo, Jeehoon Park, Magnus Carlson, Minhyong Kim","submitted_at":"2022-07-08T07:56:14Z","abstract_excerpt":"We prove an arithmetic path integral formula for the inverse p-adic absolute values of the Kubota-Leopoldt p-adic L-functions at roots of unity."},"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":"2207.03732","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2022-07-08T07:56:14Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"06b7a2112d4ae8aed181f5f08e76f16c3a1c51f8a60a1739c00df38193d3a292","abstract_canon_sha256":"041932915683c6e0d5edc29e186922e865686b08eb80a583c1b0981d09f68ced"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:38:28.353408Z","signature_b64":"JueT9juLMDFVRka030M2qkQdJScky1wd1tdmHYLTOueNCyQ832FX0dvx0BTJ4e7+4JN/6aEbpBnv+uoBXCqlDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6caa0ab33e5baad954a5cb77eb82a52c15f378d4af46d35839bc96c78d06216","last_reissued_at":"2026-07-05T04:38:28.352900Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:38:28.352900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Path Integrals and p-adic L-functions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.NT","authors_text":"Dohyeong Kim, Hee-Joong Chung, Hwajong Yoo, Jeehoon Park, Magnus Carlson, Minhyong Kim","submitted_at":"2022-07-08T07:56:14Z","abstract_excerpt":"We prove an arithmetic path integral formula for the inverse p-adic absolute values of the Kubota-Leopoldt p-adic L-functions at roots of unity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.03732","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/2207.03732/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":"2207.03732","created_at":"2026-07-05T04:38:28.352957+00:00"},{"alias_kind":"arxiv_version","alias_value":"2207.03732v1","created_at":"2026-07-05T04:38:28.352957+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.03732","created_at":"2026-07-05T04:38:28.352957+00:00"},{"alias_kind":"pith_short_12","alias_value":"43FKBKZT4W5K","created_at":"2026-07-05T04:38:28.352957+00:00"},{"alias_kind":"pith_short_16","alias_value":"43FKBKZT4W5K3FKK","created_at":"2026-07-05T04:38:28.352957+00:00"},{"alias_kind":"pith_short_8","alias_value":"43FKBKZT","created_at":"2026-07-05T04:38:28.352957+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.04540","citing_title":"A Trace-Path Integral Formula over Function Fields","ref_index":302,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/43FKBKZT4W5K3FKKLS3X5OBKKL","json":"https://pith.science/pith/43FKBKZT4W5K3FKKLS3X5OBKKL.json","graph_json":"https://pith.science/api/pith-number/43FKBKZT4W5K3FKKLS3X5OBKKL/graph.json","events_json":"https://pith.science/api/pith-number/43FKBKZT4W5K3FKKLS3X5OBKKL/events.json","paper":"https://pith.science/paper/43FKBKZT"},"agent_actions":{"view_html":"https://pith.science/pith/43FKBKZT4W5K3FKKLS3X5OBKKL","download_json":"https://pith.science/pith/43FKBKZT4W5K3FKKLS3X5OBKKL.json","view_paper":"https://pith.science/paper/43FKBKZT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2207.03732&json=true","fetch_graph":"https://pith.science/api/pith-number/43FKBKZT4W5K3FKKLS3X5OBKKL/graph.json","fetch_events":"https://pith.science/api/pith-number/43FKBKZT4W5K3FKKLS3X5OBKKL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/43FKBKZT4W5K3FKKLS3X5OBKKL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/43FKBKZT4W5K3FKKLS3X5OBKKL/action/storage_attestation","attest_author":"https://pith.science/pith/43FKBKZT4W5K3FKKLS3X5OBKKL/action/author_attestation","sign_citation":"https://pith.science/pith/43FKBKZT4W5K3FKKLS3X5OBKKL/action/citation_signature","submit_replication":"https://pith.science/pith/43FKBKZT4W5K3FKKLS3X5OBKKL/action/replication_record"}},"created_at":"2026-07-05T04:38:28.352957+00:00","updated_at":"2026-07-05T04:38:28.352957+00:00"}