{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RKVBMP3JME6IE7NJ6ZJJWF3XEU","short_pith_number":"pith:RKVBMP3J","canonical_record":{"source":{"id":"1801.01289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-01-04T09:47:22Z","cross_cats_sorted":[],"title_canon_sha256":"922be1169637cbf03e46f077d42d9b21d3435ffa526b02cee8256c06be18ca8d","abstract_canon_sha256":"ee5cf0ba31f98893b050b7684dd0a6665b094d5ba8af3ce0d77e6d2ad1830022"},"schema_version":"1.0"},"canonical_sha256":"8aaa163f69613c827da9f6529b17772504e8dd7cc068af5dd9ce42a866c711eb","source":{"kind":"arxiv","id":"1801.01289","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01289","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01289v1","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01289","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"RKVBMP3JME6I","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RKVBMP3JME6IE7NJ","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RKVBMP3J","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RKVBMP3JME6IE7NJ6ZJJWF3XEU","target":"record","payload":{"canonical_record":{"source":{"id":"1801.01289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-01-04T09:47:22Z","cross_cats_sorted":[],"title_canon_sha256":"922be1169637cbf03e46f077d42d9b21d3435ffa526b02cee8256c06be18ca8d","abstract_canon_sha256":"ee5cf0ba31f98893b050b7684dd0a6665b094d5ba8af3ce0d77e6d2ad1830022"},"schema_version":"1.0"},"canonical_sha256":"8aaa163f69613c827da9f6529b17772504e8dd7cc068af5dd9ce42a866c711eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:42.542881Z","signature_b64":"rNE5YJuR1aKv2uWvLMZJwhMnSNhnTejlZdxhGU5dGII3DzPpr4T2WA5bX55RFTkP1d8+YIhNoDtqHGVPXthvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8aaa163f69613c827da9f6529b17772504e8dd7cc068af5dd9ce42a866c711eb","last_reissued_at":"2026-05-18T00:26:42.542227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:42.542227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.01289","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":"2026-05-18T00:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tNFvyDNiJX9vZ9lKyPzVmWwxL4ecDRDLTs0OWtMLi3YjJL0xXGZrvoyrV5NcIv5mGZbnqyM8PxNLIzHXhMpBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:20:51.758799Z"},"content_sha256":"9797c327572f968e06c2a49aa01b3fe2813687879deb3a3d600129c5bbb7219d","schema_version":"1.0","event_id":"sha256:9797c327572f968e06c2a49aa01b3fe2813687879deb3a3d600129c5bbb7219d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RKVBMP3JME6IE7NJ6ZJJWF3XEU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On sums of squares of $|\\zeta(\\frac12+i\\gamma)|$ over short intervals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Aleksandar Ivi\\'c","submitted_at":"2018-01-04T09:47:22Z","abstract_excerpt":"A discussion involving the evaluation of the sum $$\\sum_{T<\\g\\le T+H}|\\zeta(1/2+i\\gamma)|^2$$ and some related integrals is presented, where $\\gamma\\,(>0)$ denotes imaginary parts of complex zeros of the Riemann zeta-function $\\zeta(s)$. It is shown unconditionally that the above sum is $\\,\\ll H\\log^2T\\log\\log T\\,$ for $\\,T^{2/3}\\log^4T \\ll H \\le T$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01289","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":"2026-05-18T00:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vwerDmLf9ViIl5Q0zBfS4cQB57Jf3nSyAcr/6skLKyAOWm0pC1KHhS13iYyBFsiU/h94YBX+gGwaIpdyzD5nBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:20:51.759148Z"},"content_sha256":"8af8d5848bca826d6d26cf81f16ab12a1a5412f4223b5bf18639c95b3829261e","schema_version":"1.0","event_id":"sha256:8af8d5848bca826d6d26cf81f16ab12a1a5412f4223b5bf18639c95b3829261e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RKVBMP3JME6IE7NJ6ZJJWF3XEU/bundle.json","state_url":"https://pith.science/pith/RKVBMP3JME6IE7NJ6ZJJWF3XEU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RKVBMP3JME6IE7NJ6ZJJWF3XEU/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":"2026-05-27T15:20:51Z","links":{"resolver":"https://pith.science/pith/RKVBMP3JME6IE7NJ6ZJJWF3XEU","bundle":"https://pith.science/pith/RKVBMP3JME6IE7NJ6ZJJWF3XEU/bundle.json","state":"https://pith.science/pith/RKVBMP3JME6IE7NJ6ZJJWF3XEU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RKVBMP3JME6IE7NJ6ZJJWF3XEU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RKVBMP3JME6IE7NJ6ZJJWF3XEU","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":"ee5cf0ba31f98893b050b7684dd0a6665b094d5ba8af3ce0d77e6d2ad1830022","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-01-04T09:47:22Z","title_canon_sha256":"922be1169637cbf03e46f077d42d9b21d3435ffa526b02cee8256c06be18ca8d"},"schema_version":"1.0","source":{"id":"1801.01289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01289","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01289v1","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01289","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"RKVBMP3JME6I","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RKVBMP3JME6IE7NJ","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RKVBMP3J","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:8af8d5848bca826d6d26cf81f16ab12a1a5412f4223b5bf18639c95b3829261e","target":"graph","created_at":"2026-05-18T00:26:42Z","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":"A discussion involving the evaluation of the sum $$\\sum_{T<\\g\\le T+H}|\\zeta(1/2+i\\gamma)|^2$$ and some related integrals is presented, where $\\gamma\\,(>0)$ denotes imaginary parts of complex zeros of the Riemann zeta-function $\\zeta(s)$. It is shown unconditionally that the above sum is $\\,\\ll H\\log^2T\\log\\log T\\,$ for $\\,T^{2/3}\\log^4T \\ll H \\le T$.","authors_text":"Aleksandar Ivi\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-01-04T09:47:22Z","title":"On sums of squares of $|\\zeta(\\frac12+i\\gamma)|$ over short intervals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01289","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":"sha256:9797c327572f968e06c2a49aa01b3fe2813687879deb3a3d600129c5bbb7219d","target":"record","created_at":"2026-05-18T00:26:42Z","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":"ee5cf0ba31f98893b050b7684dd0a6665b094d5ba8af3ce0d77e6d2ad1830022","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-01-04T09:47:22Z","title_canon_sha256":"922be1169637cbf03e46f077d42d9b21d3435ffa526b02cee8256c06be18ca8d"},"schema_version":"1.0","source":{"id":"1801.01289","kind":"arxiv","version":1}},"canonical_sha256":"8aaa163f69613c827da9f6529b17772504e8dd7cc068af5dd9ce42a866c711eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8aaa163f69613c827da9f6529b17772504e8dd7cc068af5dd9ce42a866c711eb","first_computed_at":"2026-05-18T00:26:42.542227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:42.542227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rNE5YJuR1aKv2uWvLMZJwhMnSNhnTejlZdxhGU5dGII3DzPpr4T2WA5bX55RFTkP1d8+YIhNoDtqHGVPXthvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:42.542881Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9797c327572f968e06c2a49aa01b3fe2813687879deb3a3d600129c5bbb7219d","sha256:8af8d5848bca826d6d26cf81f16ab12a1a5412f4223b5bf18639c95b3829261e"],"state_sha256":"8db338aaf0444b8f9431a85b6c81589181ebbd18461aac485dca9652d7bf0684"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBpusOC/EWC+mOGH1taaVQ3jL2IAGmxKT3uCKdxzLDZtRrGie+TOcxYPLNpdVzUVvWCb0vaHCG6vUxZvuvk4DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T15:20:51.762251Z","bundle_sha256":"ffb0add6c5ff4b2c2b1bea3cbaee4bd0b951f3db5610ec31602a71d595bbde83"}}