{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4GZPH5LEGYCSJ6AVCVTDJHA2UK","short_pith_number":"pith:4GZPH5LE","canonical_record":{"source":{"id":"1804.03617","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-04-10T16:21:01Z","cross_cats_sorted":[],"title_canon_sha256":"8ea1495399e6709d0b8ba3c0eae3a025c6bcb105162c72f833ec9d6bb27c7b13","abstract_canon_sha256":"55b039e16fd902a602676984ebf48ef44a50c0f93aef39dffb687fa134ac8f42"},"schema_version":"1.0"},"canonical_sha256":"e1b2f3f564360524f8151566349c1aa28a7dd0b5157ca966ce15f7f3913707d4","source":{"kind":"arxiv","id":"1804.03617","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03617","created_at":"2026-05-17T23:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03617v3","created_at":"2026-05-17T23:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03617","created_at":"2026-05-17T23:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"4GZPH5LEGYCS","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4GZPH5LEGYCSJ6AV","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4GZPH5LE","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4GZPH5LEGYCSJ6AVCVTDJHA2UK","target":"record","payload":{"canonical_record":{"source":{"id":"1804.03617","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-04-10T16:21:01Z","cross_cats_sorted":[],"title_canon_sha256":"8ea1495399e6709d0b8ba3c0eae3a025c6bcb105162c72f833ec9d6bb27c7b13","abstract_canon_sha256":"55b039e16fd902a602676984ebf48ef44a50c0f93aef39dffb687fa134ac8f42"},"schema_version":"1.0"},"canonical_sha256":"e1b2f3f564360524f8151566349c1aa28a7dd0b5157ca966ce15f7f3913707d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:05.036631Z","signature_b64":"M1cGi0KSwgHLSns7dVVLqipbZ5AHahNB9hKHiS9ox5w6LB0HVr+tvvskEmDQ7Y4azSMuk5EXSrOR3SAD7xl3Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1b2f3f564360524f8151566349c1aa28a7dd0b5157ca966ce15f7f3913707d4","last_reissued_at":"2026-05-17T23:58:05.036191Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:05.036191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.03617","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xopnq76aUGqodgK3yzHQsDWmhL/YiQx09lB1M5AEMB35QXx+n8Im2EzFLHQ7s6gRQ6muo5a7Cdu7Y1Qidb20AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:53:52.702812Z"},"content_sha256":"cd8f1a7bb0b2f6bebce53f200366a24aa382f1e913e7e3ab43383541b592060a","schema_version":"1.0","event_id":"sha256:cd8f1a7bb0b2f6bebce53f200366a24aa382f1e913e7e3ab43383541b592060a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4GZPH5LEGYCSJ6AVCVTDJHA2UK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Model of Sunspot Number with Modified Logistic Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"G. Qin, S.-S. Wu","submitted_at":"2018-04-10T16:21:01Z","abstract_excerpt":"Solar cycles are studied with the Version 2 monthly smoothed international sunspot number, the variations of which are found to be well represented by the modified logistic differential equation with four parameters: maximum cumulative sunspot number or total sunspot number $x_m$, initial cumulative sunspot number $x_0$, maximum emergence rate $r_0$, and asymmetry $\\alpha$. A two-parameter function is obtained by taking $\\alpha$ and $r_0$ as fixed value. In addition, it is found that $x_m$ and $x_0$ can be well determined at the start of a cycle. Therefore, a prediction model of sunspot number"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03617","kind":"arxiv","version":3},"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":"2026-05-17T23:58:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xVmoxEvTuXSV85z2Gtsc5FnIkHycVX6+wM31F+0SjwQREBUh06lgqkrof9NJ9JTw7kA9SasaBc61PU3WMuopCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:53:52.703153Z"},"content_sha256":"8f6e3a36525798f442543ab52d496cccd6f5acf6db651b06b4a28c4f9002121d","schema_version":"1.0","event_id":"sha256:8f6e3a36525798f442543ab52d496cccd6f5acf6db651b06b4a28c4f9002121d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4GZPH5LEGYCSJ6AVCVTDJHA2UK/bundle.json","state_url":"https://pith.science/pith/4GZPH5LEGYCSJ6AVCVTDJHA2UK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4GZPH5LEGYCSJ6AVCVTDJHA2UK/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":"2026-05-28T14:53:52Z","links":{"resolver":"https://pith.science/pith/4GZPH5LEGYCSJ6AVCVTDJHA2UK","bundle":"https://pith.science/pith/4GZPH5LEGYCSJ6AVCVTDJHA2UK/bundle.json","state":"https://pith.science/pith/4GZPH5LEGYCSJ6AVCVTDJHA2UK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4GZPH5LEGYCSJ6AVCVTDJHA2UK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4GZPH5LEGYCSJ6AVCVTDJHA2UK","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":"55b039e16fd902a602676984ebf48ef44a50c0f93aef39dffb687fa134ac8f42","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-04-10T16:21:01Z","title_canon_sha256":"8ea1495399e6709d0b8ba3c0eae3a025c6bcb105162c72f833ec9d6bb27c7b13"},"schema_version":"1.0","source":{"id":"1804.03617","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03617","created_at":"2026-05-17T23:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03617v3","created_at":"2026-05-17T23:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03617","created_at":"2026-05-17T23:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"4GZPH5LEGYCS","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4GZPH5LEGYCSJ6AV","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4GZPH5LE","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:8f6e3a36525798f442543ab52d496cccd6f5acf6db651b06b4a28c4f9002121d","target":"graph","created_at":"2026-05-17T23:58:05Z","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":"Solar cycles are studied with the Version 2 monthly smoothed international sunspot number, the variations of which are found to be well represented by the modified logistic differential equation with four parameters: maximum cumulative sunspot number or total sunspot number $x_m$, initial cumulative sunspot number $x_0$, maximum emergence rate $r_0$, and asymmetry $\\alpha$. A two-parameter function is obtained by taking $\\alpha$ and $r_0$ as fixed value. In addition, it is found that $x_m$ and $x_0$ can be well determined at the start of a cycle. Therefore, a prediction model of sunspot number","authors_text":"G. Qin, S.-S. Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-04-10T16:21:01Z","title":"A Model of Sunspot Number with Modified Logistic Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03617","kind":"arxiv","version":3},"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:cd8f1a7bb0b2f6bebce53f200366a24aa382f1e913e7e3ab43383541b592060a","target":"record","created_at":"2026-05-17T23:58:05Z","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":"55b039e16fd902a602676984ebf48ef44a50c0f93aef39dffb687fa134ac8f42","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-04-10T16:21:01Z","title_canon_sha256":"8ea1495399e6709d0b8ba3c0eae3a025c6bcb105162c72f833ec9d6bb27c7b13"},"schema_version":"1.0","source":{"id":"1804.03617","kind":"arxiv","version":3}},"canonical_sha256":"e1b2f3f564360524f8151566349c1aa28a7dd0b5157ca966ce15f7f3913707d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1b2f3f564360524f8151566349c1aa28a7dd0b5157ca966ce15f7f3913707d4","first_computed_at":"2026-05-17T23:58:05.036191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:05.036191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M1cGi0KSwgHLSns7dVVLqipbZ5AHahNB9hKHiS9ox5w6LB0HVr+tvvskEmDQ7Y4azSMuk5EXSrOR3SAD7xl3Ag==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:05.036631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.03617","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd8f1a7bb0b2f6bebce53f200366a24aa382f1e913e7e3ab43383541b592060a","sha256:8f6e3a36525798f442543ab52d496cccd6f5acf6db651b06b4a28c4f9002121d"],"state_sha256":"5ba2d193639a0b6a4f66a2235a937cef1288b1ec085edfbbb023cac9d6b9fa36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XERPfKqn20IKZfjQfhIaOZTSL7rqMh3O4GEmwbdTy6tqidErpldqR3YY21ayylt3JRFs6YTqyDGCbFVI6adYCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:53:52.705164Z","bundle_sha256":"105a311d1db3e0ff9e23494882ca412bf99b97bf28f1df45ab6dd27563c3723d"}}