{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QWOMOK5DKFNOULQFN4MYCZVR7Y","short_pith_number":"pith:QWOMOK5D","canonical_record":{"source":{"id":"1712.09194","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-26T07:15:49Z","cross_cats_sorted":[],"title_canon_sha256":"eb7fdf72029e429c6be22d271edc1ffb3f288c43db384c4142206ab29dd5ead8","abstract_canon_sha256":"7a5450043f3f0dfc0ba8346163c7b01e311f8832ffe8e1f6bc35cfa14c65b880"},"schema_version":"1.0"},"canonical_sha256":"859cc72ba3515aea2e056f198166b1fe28666497347a07cfb1513df9b7cbd061","source":{"kind":"arxiv","id":"1712.09194","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09194","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09194v2","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09194","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"pith_short_12","alias_value":"QWOMOK5DKFNO","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QWOMOK5DKFNOULQF","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QWOMOK5D","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QWOMOK5DKFNOULQFN4MYCZVR7Y","target":"record","payload":{"canonical_record":{"source":{"id":"1712.09194","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-26T07:15:49Z","cross_cats_sorted":[],"title_canon_sha256":"eb7fdf72029e429c6be22d271edc1ffb3f288c43db384c4142206ab29dd5ead8","abstract_canon_sha256":"7a5450043f3f0dfc0ba8346163c7b01e311f8832ffe8e1f6bc35cfa14c65b880"},"schema_version":"1.0"},"canonical_sha256":"859cc72ba3515aea2e056f198166b1fe28666497347a07cfb1513df9b7cbd061","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:55.803901Z","signature_b64":"o3pXY5TzEhJLvDWivaPFj2kuHpjaH/kGnsyxEAumiAgRv4ne7vroxcm1TrMxLugawU6WhqHXf0X6L4i1dyfQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"859cc72ba3515aea2e056f198166b1fe28666497347a07cfb1513df9b7cbd061","last_reissued_at":"2026-05-18T00:20:55.803429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:55.803429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.09194","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wemBUHD6tQQizzuqn1n8HvnupzBfRW+PQR1LKb+0bdZESzx/BwUHSXyqSYvm2OQYSpEzmBhDh0y8kiPtOmgdDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T03:56:05.628810Z"},"content_sha256":"35122fa712178157b7337b13ea917aa81cd5b01280c7bccec1d4ffcee95acff3","schema_version":"1.0","event_id":"sha256:35122fa712178157b7337b13ea917aa81cd5b01280c7bccec1d4ffcee95acff3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QWOMOK5DKFNOULQFN4MYCZVR7Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Class field theory for open curves over local fields, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Toshiro Hiranouchi","submitted_at":"2017-12-26T07:15:49Z","abstract_excerpt":"As a continuation of arXiv:1412.6888, we study the reciprocity map for an open curve $X$ over a local field of characteristic $p>0$. We determine the $p$-part of the kernel of the reciprocity map after restricting ramification when the rank of $X$ is $0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09194","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LOmX2JWgZA8qgnr7Og1N2qKF1CFtWGg38WLAdT0lXWdECoPzm+mW6oKiMcyEWKA1yhjyXL+4sCytt1j/x85hAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T03:56:05.629469Z"},"content_sha256":"f133aeeb6f974a20647420fcc9f2dc6c1a6471f81b8964ecb2d68c476fed7b4e","schema_version":"1.0","event_id":"sha256:f133aeeb6f974a20647420fcc9f2dc6c1a6471f81b8964ecb2d68c476fed7b4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QWOMOK5DKFNOULQFN4MYCZVR7Y/bundle.json","state_url":"https://pith.science/pith/QWOMOK5DKFNOULQFN4MYCZVR7Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QWOMOK5DKFNOULQFN4MYCZVR7Y/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T03:56:05Z","links":{"resolver":"https://pith.science/pith/QWOMOK5DKFNOULQFN4MYCZVR7Y","bundle":"https://pith.science/pith/QWOMOK5DKFNOULQFN4MYCZVR7Y/bundle.json","state":"https://pith.science/pith/QWOMOK5DKFNOULQFN4MYCZVR7Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QWOMOK5DKFNOULQFN4MYCZVR7Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QWOMOK5DKFNOULQFN4MYCZVR7Y","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":"7a5450043f3f0dfc0ba8346163c7b01e311f8832ffe8e1f6bc35cfa14c65b880","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-26T07:15:49Z","title_canon_sha256":"eb7fdf72029e429c6be22d271edc1ffb3f288c43db384c4142206ab29dd5ead8"},"schema_version":"1.0","source":{"id":"1712.09194","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09194","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09194v2","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09194","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"pith_short_12","alias_value":"QWOMOK5DKFNO","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QWOMOK5DKFNOULQF","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QWOMOK5D","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:f133aeeb6f974a20647420fcc9f2dc6c1a6471f81b8964ecb2d68c476fed7b4e","target":"graph","created_at":"2026-05-18T00:20:55Z","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":"As a continuation of arXiv:1412.6888, we study the reciprocity map for an open curve $X$ over a local field of characteristic $p>0$. We determine the $p$-part of the kernel of the reciprocity map after restricting ramification when the rank of $X$ is $0$.","authors_text":"Toshiro Hiranouchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-26T07:15:49Z","title":"Class field theory for open curves over local fields, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09194","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":"sha256:35122fa712178157b7337b13ea917aa81cd5b01280c7bccec1d4ffcee95acff3","target":"record","created_at":"2026-05-18T00:20:55Z","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":"7a5450043f3f0dfc0ba8346163c7b01e311f8832ffe8e1f6bc35cfa14c65b880","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-26T07:15:49Z","title_canon_sha256":"eb7fdf72029e429c6be22d271edc1ffb3f288c43db384c4142206ab29dd5ead8"},"schema_version":"1.0","source":{"id":"1712.09194","kind":"arxiv","version":2}},"canonical_sha256":"859cc72ba3515aea2e056f198166b1fe28666497347a07cfb1513df9b7cbd061","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"859cc72ba3515aea2e056f198166b1fe28666497347a07cfb1513df9b7cbd061","first_computed_at":"2026-05-18T00:20:55.803429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:55.803429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o3pXY5TzEhJLvDWivaPFj2kuHpjaH/kGnsyxEAumiAgRv4ne7vroxcm1TrMxLugawU6WhqHXf0X6L4i1dyfQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:55.803901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.09194","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35122fa712178157b7337b13ea917aa81cd5b01280c7bccec1d4ffcee95acff3","sha256:f133aeeb6f974a20647420fcc9f2dc6c1a6471f81b8964ecb2d68c476fed7b4e"],"state_sha256":"83c4fbddb69c49cde38d73bd910ad09bc915c864b4fde9e955af87f3e8e69941"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DySaUkxgPJKcPaTeYznyJn74SrX2EuqT+QUngpeuGmCA/oqT+SJ7QpP3ElhQuwWzuzNxPoHSYvm+Z3LIpBzFDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T03:56:05.633167Z","bundle_sha256":"47e094d0cfe1e6bbcfd7a26400b71d2f1a78d14e7fd02b8d8e4b7d8bb44e9910"}}