{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CINNI2JG5M67BO76TX7ROMHFZH","short_pith_number":"pith:CINNI2JG","canonical_record":{"source":{"id":"1707.04839","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-07-16T07:43:18Z","cross_cats_sorted":[],"title_canon_sha256":"4624ce9a9482fae20381b715a5fa732c0f63f0bfd90e3d9bafd2dbaa70c84d31","abstract_canon_sha256":"157c0f1d55c8c1b8c83718458063238d5e96bf380c8b43fd70374ebb9de5af2e"},"schema_version":"1.0"},"canonical_sha256":"121ad46926eb3df0bbfe9dff1730e5c9f71dbd52e61066c4bf92c87b98a90b55","source":{"kind":"arxiv","id":"1707.04839","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04839","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04839v1","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04839","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"CINNI2JG5M67","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CINNI2JG5M67BO76","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CINNI2JG","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CINNI2JG5M67BO76TX7ROMHFZH","target":"record","payload":{"canonical_record":{"source":{"id":"1707.04839","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-07-16T07:43:18Z","cross_cats_sorted":[],"title_canon_sha256":"4624ce9a9482fae20381b715a5fa732c0f63f0bfd90e3d9bafd2dbaa70c84d31","abstract_canon_sha256":"157c0f1d55c8c1b8c83718458063238d5e96bf380c8b43fd70374ebb9de5af2e"},"schema_version":"1.0"},"canonical_sha256":"121ad46926eb3df0bbfe9dff1730e5c9f71dbd52e61066c4bf92c87b98a90b55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:12.041941Z","signature_b64":"haLq6FsYMApXd9yt8LFe8sESjdxYqGg7xSEN7PegBBcsk5GUYSIM34lWnda67pemKcAMfjoH24P+N+PsuuCxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"121ad46926eb3df0bbfe9dff1730e5c9f71dbd52e61066c4bf92c87b98a90b55","last_reissued_at":"2026-05-18T00:40:12.041285Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:12.041285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.04839","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":"2026-05-18T00:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"68sHdfjhZZH8LqgSiAKGfi0BgTwQvTbeEoQhDnU4nmzNS+jGGt5rJK33HKZEwVYukxGoL8k8fFh523kc+olKDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:54:36.358910Z"},"content_sha256":"ff7683f6db04d079bc3d0a86677a0b74d39258e00a88d38f701ee9a2db40b98e","schema_version":"1.0","event_id":"sha256:ff7683f6db04d079bc3d0a86677a0b74d39258e00a88d38f701ee9a2db40b98e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CINNI2JG5M67BO76TX7ROMHFZH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Remark on the Piatetski-Shapiro-Hua Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jinjiang Li, Min Zhang","submitted_at":"2017-07-16T07:43:18Z","abstract_excerpt":"In this paper, we prove that for any fixed $205/243<\\gamma\\leqslant1$, every sufficiently large $N$ satisfying $N\\equiv 5 \\pmod {24}$ can be represented as five squares of primes with one prime in $\\mathcal{P}_\\gamma$, which improves the previous result of Zhang and Zhai."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04839","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":"2026-05-18T00:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3NARQjXIa/t3XbxQOlU0lBXVCvNmuQf2WWRDJPz6A566blKP+BVNaJPB0N0vvWpI6aVKN8Dw0RqUWAc6WErAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:54:36.359261Z"},"content_sha256":"5c0a7f80cf4e27eef97363431e7fac62a4bc75ad727fa3d37a6383b2159c81ee","schema_version":"1.0","event_id":"sha256:5c0a7f80cf4e27eef97363431e7fac62a4bc75ad727fa3d37a6383b2159c81ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CINNI2JG5M67BO76TX7ROMHFZH/bundle.json","state_url":"https://pith.science/pith/CINNI2JG5M67BO76TX7ROMHFZH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CINNI2JG5M67BO76TX7ROMHFZH/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":"2026-06-08T12:54:36Z","links":{"resolver":"https://pith.science/pith/CINNI2JG5M67BO76TX7ROMHFZH","bundle":"https://pith.science/pith/CINNI2JG5M67BO76TX7ROMHFZH/bundle.json","state":"https://pith.science/pith/CINNI2JG5M67BO76TX7ROMHFZH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CINNI2JG5M67BO76TX7ROMHFZH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CINNI2JG5M67BO76TX7ROMHFZH","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":"157c0f1d55c8c1b8c83718458063238d5e96bf380c8b43fd70374ebb9de5af2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-07-16T07:43:18Z","title_canon_sha256":"4624ce9a9482fae20381b715a5fa732c0f63f0bfd90e3d9bafd2dbaa70c84d31"},"schema_version":"1.0","source":{"id":"1707.04839","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04839","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04839v1","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04839","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"CINNI2JG5M67","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CINNI2JG5M67BO76","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CINNI2JG","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:5c0a7f80cf4e27eef97363431e7fac62a4bc75ad727fa3d37a6383b2159c81ee","target":"graph","created_at":"2026-05-18T00:40:12Z","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 paper, we prove that for any fixed $205/243<\\gamma\\leqslant1$, every sufficiently large $N$ satisfying $N\\equiv 5 \\pmod {24}$ can be represented as five squares of primes with one prime in $\\mathcal{P}_\\gamma$, which improves the previous result of Zhang and Zhai.","authors_text":"Jinjiang Li, Min Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-07-16T07:43:18Z","title":"A Remark on the Piatetski-Shapiro-Hua Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04839","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:ff7683f6db04d079bc3d0a86677a0b74d39258e00a88d38f701ee9a2db40b98e","target":"record","created_at":"2026-05-18T00:40:12Z","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":"157c0f1d55c8c1b8c83718458063238d5e96bf380c8b43fd70374ebb9de5af2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-07-16T07:43:18Z","title_canon_sha256":"4624ce9a9482fae20381b715a5fa732c0f63f0bfd90e3d9bafd2dbaa70c84d31"},"schema_version":"1.0","source":{"id":"1707.04839","kind":"arxiv","version":1}},"canonical_sha256":"121ad46926eb3df0bbfe9dff1730e5c9f71dbd52e61066c4bf92c87b98a90b55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"121ad46926eb3df0bbfe9dff1730e5c9f71dbd52e61066c4bf92c87b98a90b55","first_computed_at":"2026-05-18T00:40:12.041285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:12.041285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"haLq6FsYMApXd9yt8LFe8sESjdxYqGg7xSEN7PegBBcsk5GUYSIM34lWnda67pemKcAMfjoH24P+N+PsuuCxBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:12.041941Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.04839","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff7683f6db04d079bc3d0a86677a0b74d39258e00a88d38f701ee9a2db40b98e","sha256:5c0a7f80cf4e27eef97363431e7fac62a4bc75ad727fa3d37a6383b2159c81ee"],"state_sha256":"9318c26dd14ac8bf36221937bbf488c8c15df9128a597971db11cdc890c6951b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fdzfcRSVwzlA6cP9UWJMOqDagSKa/avlH8WOg1/nmvFCErzb2k2oBN6YGmY7ILjVIyiHrX2wmP3oHC7uqF0KDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T12:54:36.362018Z","bundle_sha256":"0b51c1db8d60d2edba2158bd48f72699163fe60708ef53ff376d57d5ac3abc23"}}