{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:CP42ARNXLC5NIZC7GLHSJX52RO","short_pith_number":"pith:CP42ARNX","canonical_record":{"source":{"id":"2105.04781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-05-11T04:56:04Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"f2ee7594037fa38403ef5e10dc441bc7a370db857d88cb1368965322f4bd2fae","abstract_canon_sha256":"ca1395e4cc287261abcd58c4cbd1a3935a5f1c82d7ea579a9beedda394c53e1b"},"schema_version":"1.0"},"canonical_sha256":"13f9a045b758bad4645f32cf24dfba8b9c22360bcdbd2a48c18df5a51dfa6334","source":{"kind":"arxiv","id":"2105.04781","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.04781","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"arxiv_version","alias_value":"2105.04781v1","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.04781","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"pith_short_12","alias_value":"CP42ARNXLC5N","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"pith_short_16","alias_value":"CP42ARNXLC5NIZC7","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"pith_short_8","alias_value":"CP42ARNX","created_at":"2026-07-05T02:39:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:CP42ARNXLC5NIZC7GLHSJX52RO","target":"record","payload":{"canonical_record":{"source":{"id":"2105.04781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-05-11T04:56:04Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"f2ee7594037fa38403ef5e10dc441bc7a370db857d88cb1368965322f4bd2fae","abstract_canon_sha256":"ca1395e4cc287261abcd58c4cbd1a3935a5f1c82d7ea579a9beedda394c53e1b"},"schema_version":"1.0"},"canonical_sha256":"13f9a045b758bad4645f32cf24dfba8b9c22360bcdbd2a48c18df5a51dfa6334","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:39:24.110445Z","signature_b64":"8YdI6LNq2BA8qqCdRT6Y5MdFHmnMCDmML5KRO837RSk/Km/PngMHl0k3IuTT+1KvoW2f80QcpBXRMibGblaiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13f9a045b758bad4645f32cf24dfba8b9c22360bcdbd2a48c18df5a51dfa6334","last_reissued_at":"2026-07-05T02:39:24.110050Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:39:24.110050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.04781","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:39:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yYslZpWinCS1laMmf7bPfyXvcGxLVYAiPsvv5UZRzYPf2ro5X8HfNKHjE49FEDSKdtJnKnsipexqcZ0QKZL8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T06:16:48.267979Z"},"content_sha256":"df9b69ad2ebb7e356f0a457cb4194127b593b79359bb560a5deb61a2ed210e07","schema_version":"1.0","event_id":"sha256:df9b69ad2ebb7e356f0a457cb4194127b593b79359bb560a5deb61a2ed210e07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:CP42ARNXLC5NIZC7GLHSJX52RO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: probabilistic aspects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.NT","authors_text":"Kenta Endo, Masahiro Mine, Sh\\=ota Inoue","submitted_at":"2021-05-11T04:56:04Z","abstract_excerpt":"In this paper, we discuss the value-distribution of the Riemann zeta-function. The authors give some results for the discrepancy estimate and large deviations in the limit theorem by Bohr and Jessen."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.04781","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/2105.04781/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:39:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0eRjg38f8Ro70Ii2vRp1eQN22XNcwMw+/9G7PXz4IzFBAcM/y64QUsp0h/j+XGzzPShguhoXonawzI+RbufICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T06:16:48.268468Z"},"content_sha256":"86f1d1bae3d7db0adb55a38b3c275656ba203cf73d2c1ca24b3816df8abd8fdd","schema_version":"1.0","event_id":"sha256:86f1d1bae3d7db0adb55a38b3c275656ba203cf73d2c1ca24b3816df8abd8fdd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CP42ARNXLC5NIZC7GLHSJX52RO/bundle.json","state_url":"https://pith.science/pith/CP42ARNXLC5NIZC7GLHSJX52RO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CP42ARNXLC5NIZC7GLHSJX52RO/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":"2026-08-12T06:16:48Z","links":{"resolver":"https://pith.science/pith/CP42ARNXLC5NIZC7GLHSJX52RO","bundle":"https://pith.science/pith/CP42ARNXLC5NIZC7GLHSJX52RO/bundle.json","state":"https://pith.science/pith/CP42ARNXLC5NIZC7GLHSJX52RO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CP42ARNXLC5NIZC7GLHSJX52RO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:CP42ARNXLC5NIZC7GLHSJX52RO","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":"ca1395e4cc287261abcd58c4cbd1a3935a5f1c82d7ea579a9beedda394c53e1b","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-05-11T04:56:04Z","title_canon_sha256":"f2ee7594037fa38403ef5e10dc441bc7a370db857d88cb1368965322f4bd2fae"},"schema_version":"1.0","source":{"id":"2105.04781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.04781","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"arxiv_version","alias_value":"2105.04781v1","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.04781","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"pith_short_12","alias_value":"CP42ARNXLC5N","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"pith_short_16","alias_value":"CP42ARNXLC5NIZC7","created_at":"2026-07-05T02:39:24Z"},{"alias_kind":"pith_short_8","alias_value":"CP42ARNX","created_at":"2026-07-05T02:39:24Z"}],"graph_snapshots":[{"event_id":"sha256:86f1d1bae3d7db0adb55a38b3c275656ba203cf73d2c1ca24b3816df8abd8fdd","target":"graph","created_at":"2026-07-05T02:39:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2105.04781/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we discuss the value-distribution of the Riemann zeta-function. The authors give some results for the discrepancy estimate and large deviations in the limit theorem by Bohr and Jessen.","authors_text":"Kenta Endo, Masahiro Mine, Sh\\=ota Inoue","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-05-11T04:56:04Z","title":"On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: probabilistic aspects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.04781","kind":"arxiv","version":1},"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:df9b69ad2ebb7e356f0a457cb4194127b593b79359bb560a5deb61a2ed210e07","target":"record","created_at":"2026-07-05T02:39:24Z","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":"ca1395e4cc287261abcd58c4cbd1a3935a5f1c82d7ea579a9beedda394c53e1b","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-05-11T04:56:04Z","title_canon_sha256":"f2ee7594037fa38403ef5e10dc441bc7a370db857d88cb1368965322f4bd2fae"},"schema_version":"1.0","source":{"id":"2105.04781","kind":"arxiv","version":1}},"canonical_sha256":"13f9a045b758bad4645f32cf24dfba8b9c22360bcdbd2a48c18df5a51dfa6334","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13f9a045b758bad4645f32cf24dfba8b9c22360bcdbd2a48c18df5a51dfa6334","first_computed_at":"2026-07-05T02:39:24.110050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:39:24.110050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8YdI6LNq2BA8qqCdRT6Y5MdFHmnMCDmML5KRO837RSk/Km/PngMHl0k3IuTT+1KvoW2f80QcpBXRMibGblaiAA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:39:24.110445Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.04781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df9b69ad2ebb7e356f0a457cb4194127b593b79359bb560a5deb61a2ed210e07","sha256:86f1d1bae3d7db0adb55a38b3c275656ba203cf73d2c1ca24b3816df8abd8fdd"],"state_sha256":"36a9bfe9bf26610ecfe9cfc5047ca24cd72a21a049f82e437a714c5e26dd55e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Su0fZSgSwATNYvKgBa0yBg6Tju/uD9CrCcn/f5/PoCgJNfNeZn9+jDsaeQ5K6pjT4w1YkxsEftJ13a46dCfwAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T06:16:48.272377Z","bundle_sha256":"2649362fd77e8d2460460d76e5de74f9203a3b99f21d0105d80b9c6d6abe16fb"}}