{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LQ5WSZZY6GGIL5VAWZM32SCG3J","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"18bb2d48a2cefd3bfdca22d43ef9d26f9bdd641503306d6dc76621775d807a66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-10-22T12:25:08Z","title_canon_sha256":"d57cd6cd6b8593a9c79ac5148638e2ebe1f37f9db17c25d4022938de8eb661d8"},"schema_version":"1.0","source":{"id":"1410.6018","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.6018","created_at":"2026-05-18T02:28:05Z"},{"alias_kind":"arxiv_version","alias_value":"1410.6018v2","created_at":"2026-05-18T02:28:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6018","created_at":"2026-05-18T02:28:05Z"},{"alias_kind":"pith_short_12","alias_value":"LQ5WSZZY6GGI","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LQ5WSZZY6GGIL5VA","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LQ5WSZZY","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:b15c399c7a594e309b542aac571e055ab62d4ac1c176956be8ae54dd968caf8a","target":"graph","created_at":"2026-05-18T02:28:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"With every path on a projective line minus zero, one and infinity there is associated a measure. We are studying a sum of two such measures associated to paths from the tangential point at zero to roots of one. We show that the obtained measure can be defined very elementary. Integrating agaist this measure we get p-adic Hurwitz zeta functions constructed previously by Shiratani.","authors_text":"Wojtkowiak Zdzislaw","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-10-22T12:25:08Z","title":"A polylogarithmic measure associated with a path on $\\Pbb ^1\\setminus \\{ 0,1,\\infty \\}$ and a $P$-adic Hurwitz zeta function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6018","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:51315b6d3be52f4ddd8f49f01cc7e674321a733a6846f39979fa91a6cc04ebd4","target":"record","created_at":"2026-05-18T02:28:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"18bb2d48a2cefd3bfdca22d43ef9d26f9bdd641503306d6dc76621775d807a66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-10-22T12:25:08Z","title_canon_sha256":"d57cd6cd6b8593a9c79ac5148638e2ebe1f37f9db17c25d4022938de8eb661d8"},"schema_version":"1.0","source":{"id":"1410.6018","kind":"arxiv","version":2}},"canonical_sha256":"5c3b696738f18c85f6a0b659bd4846da6660e4ea25ce1ad75a422f1d4a762baf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c3b696738f18c85f6a0b659bd4846da6660e4ea25ce1ad75a422f1d4a762baf","first_computed_at":"2026-05-18T02:28:05.057888Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:05.057888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M7qnNRKy2ZElZkKN9EZyRgkcsfco72l78HHaXOxNqZD3XBjF9lAaBVi8cl4s5BJ5jZ1XzwAESXwd9Hs5F9I6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:05.058289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.6018","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51315b6d3be52f4ddd8f49f01cc7e674321a733a6846f39979fa91a6cc04ebd4","sha256:b15c399c7a594e309b542aac571e055ab62d4ac1c176956be8ae54dd968caf8a"],"state_sha256":"55b0531bd56460540b81a855069a50f5b2afffe72538321846b100268e9f94d0"}