{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:DM2QSHP3FPJIA7J2U7GNLSNALQ","short_pith_number":"pith:DM2QSHP3","canonical_record":{"source":{"id":"1808.02295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-07T10:38:09Z","cross_cats_sorted":[],"title_canon_sha256":"798cbd253d23d3a1a31daa0dca1f6126dad35b9c25a53637b0e938c5749bad65","abstract_canon_sha256":"40328025f67e132fc4703b77fcd87aa0c901f3cabc2e168d1e554916784ef5e4"},"schema_version":"1.0"},"canonical_sha256":"1b35091dfb2bd2807d3aa7ccd5c9a05c14d4fcb85d85f7679a532a4214b67f36","source":{"kind":"arxiv","id":"1808.02295","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02295","created_at":"2026-05-18T00:08:30Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02295v2","created_at":"2026-05-18T00:08:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02295","created_at":"2026-05-18T00:08:30Z"},{"alias_kind":"pith_short_12","alias_value":"DM2QSHP3FPJI","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DM2QSHP3FPJIA7J2","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DM2QSHP3","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:DM2QSHP3FPJIA7J2U7GNLSNALQ","target":"record","payload":{"canonical_record":{"source":{"id":"1808.02295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-07T10:38:09Z","cross_cats_sorted":[],"title_canon_sha256":"798cbd253d23d3a1a31daa0dca1f6126dad35b9c25a53637b0e938c5749bad65","abstract_canon_sha256":"40328025f67e132fc4703b77fcd87aa0c901f3cabc2e168d1e554916784ef5e4"},"schema_version":"1.0"},"canonical_sha256":"1b35091dfb2bd2807d3aa7ccd5c9a05c14d4fcb85d85f7679a532a4214b67f36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:30.760533Z","signature_b64":"WmPZpoO1xRfqYbUHPr7DpvtJq/Gwa3OeVISSA9lZmKlNLZwSBVLN0AujmV+tuDhkd561haMBF+lES4LYDt96DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b35091dfb2bd2807d3aa7ccd5c9a05c14d4fcb85d85f7679a532a4214b67f36","last_reissued_at":"2026-05-18T00:08:30.760157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:30.760157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.02295","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":"2026-05-18T00:08:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KkcLgE/eE8Bk2hMrhCK7RegBEPL5QjsRue+garMefKJsufY1dyB4SOnnnaFs+88e5SXEUoinAPAHUpfLxghzCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:08:07.753542Z"},"content_sha256":"7917e653559a885c2c442b88300b095c51d2346e948043ed73cc0f5e255c48d9","schema_version":"1.0","event_id":"sha256:7917e653559a885c2c442b88300b095c51d2346e948043ed73cc0f5e255c48d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:DM2QSHP3FPJIA7J2U7GNLSNALQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximating the Riemann Zeta-function by Polynomials with Restricted Zeros","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"P. M. Gauthier","submitted_at":"2018-08-07T10:38:09Z","abstract_excerpt":"We approximate the Riemann Zeta-Function by polynomials and Dirichlet polynomials with restricted zeros."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02295","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":"2026-05-18T00:08:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FqAyZRe+Hho1tWwgxwuHw3l5P0Hq/Se4eyIhjaQSjEWGKvwgDrKgzuIP1eB8xoR3PNmEEQtoZyvkwVZzOF0ZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:08:07.753867Z"},"content_sha256":"cd4e1328bcec45857143959194155d5a0773054e6c0f83cbd0d816153894dad4","schema_version":"1.0","event_id":"sha256:cd4e1328bcec45857143959194155d5a0773054e6c0f83cbd0d816153894dad4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DM2QSHP3FPJIA7J2U7GNLSNALQ/bundle.json","state_url":"https://pith.science/pith/DM2QSHP3FPJIA7J2U7GNLSNALQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DM2QSHP3FPJIA7J2U7GNLSNALQ/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":"2026-06-29T09:08:07Z","links":{"resolver":"https://pith.science/pith/DM2QSHP3FPJIA7J2U7GNLSNALQ","bundle":"https://pith.science/pith/DM2QSHP3FPJIA7J2U7GNLSNALQ/bundle.json","state":"https://pith.science/pith/DM2QSHP3FPJIA7J2U7GNLSNALQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DM2QSHP3FPJIA7J2U7GNLSNALQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DM2QSHP3FPJIA7J2U7GNLSNALQ","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":"40328025f67e132fc4703b77fcd87aa0c901f3cabc2e168d1e554916784ef5e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-07T10:38:09Z","title_canon_sha256":"798cbd253d23d3a1a31daa0dca1f6126dad35b9c25a53637b0e938c5749bad65"},"schema_version":"1.0","source":{"id":"1808.02295","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02295","created_at":"2026-05-18T00:08:30Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02295v2","created_at":"2026-05-18T00:08:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02295","created_at":"2026-05-18T00:08:30Z"},{"alias_kind":"pith_short_12","alias_value":"DM2QSHP3FPJI","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DM2QSHP3FPJIA7J2","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DM2QSHP3","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:cd4e1328bcec45857143959194155d5a0773054e6c0f83cbd0d816153894dad4","target":"graph","created_at":"2026-05-18T00:08:30Z","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":"We approximate the Riemann Zeta-Function by polynomials and Dirichlet polynomials with restricted zeros.","authors_text":"P. M. Gauthier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-07T10:38:09Z","title":"Approximating the Riemann Zeta-function by Polynomials with Restricted Zeros"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02295","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":"sha256:7917e653559a885c2c442b88300b095c51d2346e948043ed73cc0f5e255c48d9","target":"record","created_at":"2026-05-18T00:08:30Z","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":"40328025f67e132fc4703b77fcd87aa0c901f3cabc2e168d1e554916784ef5e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-07T10:38:09Z","title_canon_sha256":"798cbd253d23d3a1a31daa0dca1f6126dad35b9c25a53637b0e938c5749bad65"},"schema_version":"1.0","source":{"id":"1808.02295","kind":"arxiv","version":2}},"canonical_sha256":"1b35091dfb2bd2807d3aa7ccd5c9a05c14d4fcb85d85f7679a532a4214b67f36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b35091dfb2bd2807d3aa7ccd5c9a05c14d4fcb85d85f7679a532a4214b67f36","first_computed_at":"2026-05-18T00:08:30.760157Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:30.760157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WmPZpoO1xRfqYbUHPr7DpvtJq/Gwa3OeVISSA9lZmKlNLZwSBVLN0AujmV+tuDhkd561haMBF+lES4LYDt96DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:30.760533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.02295","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7917e653559a885c2c442b88300b095c51d2346e948043ed73cc0f5e255c48d9","sha256:cd4e1328bcec45857143959194155d5a0773054e6c0f83cbd0d816153894dad4"],"state_sha256":"0369e2bb7562c089d4f7c3f3b99bdce89aade33c721e7ed708bcbbc77853f646"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"00By00rcmWJUTZbB165YbU6wxnDK2dCm4xptXEKP82RFut2jm/XuyQGcCnu0c7jl05P0GVK+6sv8d7AWgGyUBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T09:08:07.755964Z","bundle_sha256":"8301ad478dbdee32056576366f99174081db691e0aaf15e9da13bfb7e8a841d7"}}