{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:2V7BBJHFHYVR2PP23B2ZUTN3Y6","short_pith_number":"pith:2V7BBJHF","canonical_record":{"source":{"id":"1601.00267","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-01-03T09:58:09Z","cross_cats_sorted":[],"title_canon_sha256":"60ab777aa5c2ad5535c3b5c84545587832e9bcdc6dfdec33d678106be3cd5eb9","abstract_canon_sha256":"a1bb69e406d16008fa8c7ffd7776ee4687e241ec17a3bc8ad09bf1a2ef42c78d"},"schema_version":"1.0"},"canonical_sha256":"d57e10a4e53e2b1d3dfad8759a4dbbc79f3dd6a22679026313c1c8bdfce9eb01","source":{"kind":"arxiv","id":"1601.00267","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00267","created_at":"2026-05-18T00:50:09Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00267v2","created_at":"2026-05-18T00:50:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00267","created_at":"2026-05-18T00:50:09Z"},{"alias_kind":"pith_short_12","alias_value":"2V7BBJHFHYVR","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2V7BBJHFHYVR2PP2","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2V7BBJHF","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:2V7BBJHFHYVR2PP23B2ZUTN3Y6","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00267","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-01-03T09:58:09Z","cross_cats_sorted":[],"title_canon_sha256":"60ab777aa5c2ad5535c3b5c84545587832e9bcdc6dfdec33d678106be3cd5eb9","abstract_canon_sha256":"a1bb69e406d16008fa8c7ffd7776ee4687e241ec17a3bc8ad09bf1a2ef42c78d"},"schema_version":"1.0"},"canonical_sha256":"d57e10a4e53e2b1d3dfad8759a4dbbc79f3dd6a22679026313c1c8bdfce9eb01","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:09.818940Z","signature_b64":"MpRN1OxL0WKjoQ8dAOhE1v2G50ZWXfIwyAr/1qp+uUkM3JIxRTsNTY4WCw3DOPQvyu6jazzWkbFTxahO1CwIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d57e10a4e53e2b1d3dfad8759a4dbbc79f3dd6a22679026313c1c8bdfce9eb01","last_reissued_at":"2026-05-18T00:50:09.818231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:09.818231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00267","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":"2026-05-18T00:50:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MJlWGOGcdCovm4bWEL3ZlL0/hkj4lnshGX4s4X4EeKPpM2UULHRVJVQ4Yf1sz6gxDPtJOr2o8oraWnhrFvKyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:56:14.313266Z"},"content_sha256":"d949c2751a05b3e9c755fc38f3d0ae08e3153f45fe634fb6bfef99b3f74c80fe","schema_version":"1.0","event_id":"sha256:d949c2751a05b3e9c755fc38f3d0ae08e3153f45fe634fb6bfef99b3f74c80fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:2V7BBJHFHYVR2PP23B2ZUTN3Y6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Artin Conjecture for p-adic Galois Representations of Function Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Daqing Wan, Ruochuan Liu","submitted_at":"2016-01-03T09:58:09Z","abstract_excerpt":"For a global function field K of positive characteristic p, we show that Artin conjecture for L-functions of geometric p-adic Galois representations of K is true in a non-trivial p-adic disk but is false in the full p-adic plane. In particular, we prove the non-rationality of the geometric unit root L-functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00267","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":"2026-05-18T00:50:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kCpOcPTbNNyUdxqqf3TYshs6xcQtf0bFfRiR6et4WaThnSs2J3jd6AL/tEJDxtlkmkEW+3TkotswIH5KcAEvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:56:14.313640Z"},"content_sha256":"fef3871d5ad3e42de9e72b96f87dde7cc1d581077a868e70a6c3918079caba76","schema_version":"1.0","event_id":"sha256:fef3871d5ad3e42de9e72b96f87dde7cc1d581077a868e70a6c3918079caba76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2V7BBJHFHYVR2PP23B2ZUTN3Y6/bundle.json","state_url":"https://pith.science/pith/2V7BBJHFHYVR2PP23B2ZUTN3Y6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2V7BBJHFHYVR2PP23B2ZUTN3Y6/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":"2026-06-03T10:56:14Z","links":{"resolver":"https://pith.science/pith/2V7BBJHFHYVR2PP23B2ZUTN3Y6","bundle":"https://pith.science/pith/2V7BBJHFHYVR2PP23B2ZUTN3Y6/bundle.json","state":"https://pith.science/pith/2V7BBJHFHYVR2PP23B2ZUTN3Y6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2V7BBJHFHYVR2PP23B2ZUTN3Y6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2V7BBJHFHYVR2PP23B2ZUTN3Y6","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":"a1bb69e406d16008fa8c7ffd7776ee4687e241ec17a3bc8ad09bf1a2ef42c78d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-01-03T09:58:09Z","title_canon_sha256":"60ab777aa5c2ad5535c3b5c84545587832e9bcdc6dfdec33d678106be3cd5eb9"},"schema_version":"1.0","source":{"id":"1601.00267","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00267","created_at":"2026-05-18T00:50:09Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00267v2","created_at":"2026-05-18T00:50:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00267","created_at":"2026-05-18T00:50:09Z"},{"alias_kind":"pith_short_12","alias_value":"2V7BBJHFHYVR","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2V7BBJHFHYVR2PP2","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2V7BBJHF","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:fef3871d5ad3e42de9e72b96f87dde7cc1d581077a868e70a6c3918079caba76","target":"graph","created_at":"2026-05-18T00:50:09Z","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":"For a global function field K of positive characteristic p, we show that Artin conjecture for L-functions of geometric p-adic Galois representations of K is true in a non-trivial p-adic disk but is false in the full p-adic plane. In particular, we prove the non-rationality of the geometric unit root L-functions.","authors_text":"Daqing Wan, Ruochuan Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-01-03T09:58:09Z","title":"Artin Conjecture for p-adic Galois Representations of Function Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00267","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:d949c2751a05b3e9c755fc38f3d0ae08e3153f45fe634fb6bfef99b3f74c80fe","target":"record","created_at":"2026-05-18T00:50:09Z","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":"a1bb69e406d16008fa8c7ffd7776ee4687e241ec17a3bc8ad09bf1a2ef42c78d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-01-03T09:58:09Z","title_canon_sha256":"60ab777aa5c2ad5535c3b5c84545587832e9bcdc6dfdec33d678106be3cd5eb9"},"schema_version":"1.0","source":{"id":"1601.00267","kind":"arxiv","version":2}},"canonical_sha256":"d57e10a4e53e2b1d3dfad8759a4dbbc79f3dd6a22679026313c1c8bdfce9eb01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d57e10a4e53e2b1d3dfad8759a4dbbc79f3dd6a22679026313c1c8bdfce9eb01","first_computed_at":"2026-05-18T00:50:09.818231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:09.818231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MpRN1OxL0WKjoQ8dAOhE1v2G50ZWXfIwyAr/1qp+uUkM3JIxRTsNTY4WCw3DOPQvyu6jazzWkbFTxahO1CwIAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:09.818940Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00267","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d949c2751a05b3e9c755fc38f3d0ae08e3153f45fe634fb6bfef99b3f74c80fe","sha256:fef3871d5ad3e42de9e72b96f87dde7cc1d581077a868e70a6c3918079caba76"],"state_sha256":"af6e02c6129f1491a59a9b087e5d97a68c147676bb7a40b0519ed4c3f2d3b822"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Om6zt/1LhYl+dHWnxR5HucaCeeRYa8FaHhhotYepcblQuYmuFGYI9LT1hrbTmq9Yi8H3mlUmvr33+eaKw256DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T10:56:14.315893Z","bundle_sha256":"cc4756b6548c34cccd5fa14df368d8f25d2d7ac0a084354cd8d32672a457b912"}}