{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:IA5LPCNXV5X6VQKDKXXEYXGWZP","short_pith_number":"pith:IA5LPCNX","canonical_record":{"source":{"id":"0706.1765","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"2007-06-12T18:45:18Z","cross_cats_sorted":[],"title_canon_sha256":"3be2b91febb04740d517347459406a391f45145d17ddf33f3996f8f3cb066d1a","abstract_canon_sha256":"057c74a37f409c0f6575061d832da926b897a48f406f2bad9935b13b3408083e"},"schema_version":"1.0"},"canonical_sha256":"403ab789b7af6feac14355ee4c5cd6cbd38ba0c51b0bed07268d61bd3e3e0f33","source":{"kind":"arxiv","id":"0706.1765","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.1765","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"arxiv_version","alias_value":"0706.1765v1","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.1765","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"pith_short_12","alias_value":"IA5LPCNXV5X6","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IA5LPCNXV5X6VQKD","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IA5LPCNX","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:IA5LPCNXV5X6VQKDKXXEYXGWZP","target":"record","payload":{"canonical_record":{"source":{"id":"0706.1765","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"2007-06-12T18:45:18Z","cross_cats_sorted":[],"title_canon_sha256":"3be2b91febb04740d517347459406a391f45145d17ddf33f3996f8f3cb066d1a","abstract_canon_sha256":"057c74a37f409c0f6575061d832da926b897a48f406f2bad9935b13b3408083e"},"schema_version":"1.0"},"canonical_sha256":"403ab789b7af6feac14355ee4c5cd6cbd38ba0c51b0bed07268d61bd3e3e0f33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:12.641692Z","signature_b64":"fg2W/atAt8+/YU1UuqZ1bz/QY25lvwHRkw0EBsRkzM9EEw9cTbn4a07E2R7Z6BL01ydTWo5EbI2syBSPOtUACQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"403ab789b7af6feac14355ee4c5cd6cbd38ba0c51b0bed07268d61bd3e3e0f33","last_reissued_at":"2026-05-18T02:58:12.641149Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:12.641149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.1765","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":"2026-05-18T02:58:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dy+uVFMcsQQWel58I9xGN/IMyuYhbfJOmnlKFV1txlYB1RKNjGXR2OOCdC6p7fuluvtjvVVqz3RGDkRQIiszBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T07:08:53.325406Z"},"content_sha256":"436035d979b9b27c741000a0b5b001dca2798fe32ebf758bafd0c690fae59d91","schema_version":"1.0","event_id":"sha256:436035d979b9b27c741000a0b5b001dca2798fe32ebf758bafd0c690fae59d91"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:IA5LPCNXV5X6VQKDKXXEYXGWZP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extreme values of zeta prime rho","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Nathan Ng","submitted_at":"2007-06-12T18:45:18Z","abstract_excerpt":"In this article we exhibit small and large values of $\\zeta'(\\rho)$ by applying Soundararajan's resonance method. Our results assume the Riemann hypothesis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.1765","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":""},"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":"2026-05-18T02:58:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7DSGn7v5Yxhn2hPhefRbUJKwJjfPQl+4wStzpSa+X2zTmncFQQHlYQpodGOZntW1QrCKQLblkkUSBBiFCFFsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T07:08:53.325746Z"},"content_sha256":"ea951d0eca4522a6fe41b91d1301b18ad59de0fb4869e4b95b1af8da19a48fa7","schema_version":"1.0","event_id":"sha256:ea951d0eca4522a6fe41b91d1301b18ad59de0fb4869e4b95b1af8da19a48fa7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IA5LPCNXV5X6VQKDKXXEYXGWZP/bundle.json","state_url":"https://pith.science/pith/IA5LPCNXV5X6VQKDKXXEYXGWZP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IA5LPCNXV5X6VQKDKXXEYXGWZP/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":"2026-06-04T07:08:53Z","links":{"resolver":"https://pith.science/pith/IA5LPCNXV5X6VQKDKXXEYXGWZP","bundle":"https://pith.science/pith/IA5LPCNXV5X6VQKDKXXEYXGWZP/bundle.json","state":"https://pith.science/pith/IA5LPCNXV5X6VQKDKXXEYXGWZP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IA5LPCNXV5X6VQKDKXXEYXGWZP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:IA5LPCNXV5X6VQKDKXXEYXGWZP","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":"057c74a37f409c0f6575061d832da926b897a48f406f2bad9935b13b3408083e","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"2007-06-12T18:45:18Z","title_canon_sha256":"3be2b91febb04740d517347459406a391f45145d17ddf33f3996f8f3cb066d1a"},"schema_version":"1.0","source":{"id":"0706.1765","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.1765","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"arxiv_version","alias_value":"0706.1765v1","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.1765","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"pith_short_12","alias_value":"IA5LPCNXV5X6","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IA5LPCNXV5X6VQKD","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IA5LPCNX","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:ea951d0eca4522a6fe41b91d1301b18ad59de0fb4869e4b95b1af8da19a48fa7","target":"graph","created_at":"2026-05-18T02:58:12Z","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":"In this article we exhibit small and large values of $\\zeta'(\\rho)$ by applying Soundararajan's resonance method. Our results assume the Riemann hypothesis.","authors_text":"Nathan Ng","cross_cats":[],"headline":"","license":"","primary_cat":"math.NT","submitted_at":"2007-06-12T18:45:18Z","title":"Extreme values of zeta prime rho"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.1765","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":"sha256:436035d979b9b27c741000a0b5b001dca2798fe32ebf758bafd0c690fae59d91","target":"record","created_at":"2026-05-18T02:58:12Z","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":"057c74a37f409c0f6575061d832da926b897a48f406f2bad9935b13b3408083e","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"2007-06-12T18:45:18Z","title_canon_sha256":"3be2b91febb04740d517347459406a391f45145d17ddf33f3996f8f3cb066d1a"},"schema_version":"1.0","source":{"id":"0706.1765","kind":"arxiv","version":1}},"canonical_sha256":"403ab789b7af6feac14355ee4c5cd6cbd38ba0c51b0bed07268d61bd3e3e0f33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"403ab789b7af6feac14355ee4c5cd6cbd38ba0c51b0bed07268d61bd3e3e0f33","first_computed_at":"2026-05-18T02:58:12.641149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:12.641149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fg2W/atAt8+/YU1UuqZ1bz/QY25lvwHRkw0EBsRkzM9EEw9cTbn4a07E2R7Z6BL01ydTWo5EbI2syBSPOtUACQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:12.641692Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.1765","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:436035d979b9b27c741000a0b5b001dca2798fe32ebf758bafd0c690fae59d91","sha256:ea951d0eca4522a6fe41b91d1301b18ad59de0fb4869e4b95b1af8da19a48fa7"],"state_sha256":"5822cec2fbab7ae47d50da0c6f28e51ba0b20a65b52b330ba109102287bef1b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"szxzUAYiIrY1tV5C5Em32G0Ku/J6q4pUK7UjQdywHnK7ki+rhGUQErqQWX3r3aYcperXQrBRALXjJuCiVvJBDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T07:08:53.327641Z","bundle_sha256":"74e002d196781d68f8983d3459e2c9f4d3ab27d6c9517ae7c14cd1cd83b255d8"}}