{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CH4AY5FR55RUD6OABO6K7L6BKI","short_pith_number":"pith:CH4AY5FR","canonical_record":{"source":{"id":"1803.08477","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-22T17:24:19Z","cross_cats_sorted":[],"title_canon_sha256":"0247ac1b6f402140a8eb11c0780f1befa0f84522eaf6b4ee2020bb7affa17cc0","abstract_canon_sha256":"ff2526300843a226695043cd17e1d807975c45460c8b7398452abac44899dbbb"},"schema_version":"1.0"},"canonical_sha256":"11f80c74b1ef6341f9c00bbcafafc15233f5691c0747a39a96b5ee394c82a17d","source":{"kind":"arxiv","id":"1803.08477","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08477","created_at":"2026-05-18T00:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08477v2","created_at":"2026-05-18T00:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08477","created_at":"2026-05-18T00:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"CH4AY5FR55RU","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CH4AY5FR55RUD6OA","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CH4AY5FR","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CH4AY5FR55RUD6OABO6K7L6BKI","target":"record","payload":{"canonical_record":{"source":{"id":"1803.08477","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-22T17:24:19Z","cross_cats_sorted":[],"title_canon_sha256":"0247ac1b6f402140a8eb11c0780f1befa0f84522eaf6b4ee2020bb7affa17cc0","abstract_canon_sha256":"ff2526300843a226695043cd17e1d807975c45460c8b7398452abac44899dbbb"},"schema_version":"1.0"},"canonical_sha256":"11f80c74b1ef6341f9c00bbcafafc15233f5691c0747a39a96b5ee394c82a17d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:49.253577Z","signature_b64":"UZ2nERN+QDM4aEx8fgwuivqo2nDSFDXURbB4NTcY6JLKauJWdvAuC00Bh4qB1+VZsmaOZ2Qxt1KIQ2z34k+gBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11f80c74b1ef6341f9c00bbcafafc15233f5691c0747a39a96b5ee394c82a17d","last_reissued_at":"2026-05-18T00:18:49.253038Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:49.253038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.08477","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":"2026-05-18T00:18:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i20A4WYtmYDKu4ecpXZhias9pDYHyf70GmmbRtNumw4HjGwWTFokRBoe6AwBKjMqOYuT9foZau9eSWshUqdqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:28:10.672710Z"},"content_sha256":"d406a26d61d3bc4290abb272ff61ed44f253e79d8b59bc10f82405039e1bdff3","schema_version":"1.0","event_id":"sha256:d406a26d61d3bc4290abb272ff61ed44f253e79d8b59bc10f82405039e1bdff3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CH4AY5FR55RUD6OABO6K7L6BKI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"WZ pairs and $q$-Analogues of Ramanujan series for $1/\\pi$ (with an appendix by Wadim Zudilin)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jes\\'us Guillera","submitted_at":"2018-03-22T17:24:19Z","abstract_excerpt":"We prove q-analogues of two Ramanujan-type series for $1/\\pi$ from $q$-analogues of ordinary WZ pairs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08477","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":"2026-05-18T00:18:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tY1Y2kb56YqD0mCW4/b36cjYRXHF2a3meS1njLs1ycxWZVjN68aubgbbh1xR95X9w4tlM4/71DplSChSwyW2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:28:10.673071Z"},"content_sha256":"4d4291bd2322ebf938968dc82a49915bd0c11b131006f5f407dcd1f1d9e97b83","schema_version":"1.0","event_id":"sha256:4d4291bd2322ebf938968dc82a49915bd0c11b131006f5f407dcd1f1d9e97b83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CH4AY5FR55RUD6OABO6K7L6BKI/bundle.json","state_url":"https://pith.science/pith/CH4AY5FR55RUD6OABO6K7L6BKI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CH4AY5FR55RUD6OABO6K7L6BKI/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":"2026-06-04T00:28:10Z","links":{"resolver":"https://pith.science/pith/CH4AY5FR55RUD6OABO6K7L6BKI","bundle":"https://pith.science/pith/CH4AY5FR55RUD6OABO6K7L6BKI/bundle.json","state":"https://pith.science/pith/CH4AY5FR55RUD6OABO6K7L6BKI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CH4AY5FR55RUD6OABO6K7L6BKI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CH4AY5FR55RUD6OABO6K7L6BKI","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":"ff2526300843a226695043cd17e1d807975c45460c8b7398452abac44899dbbb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-22T17:24:19Z","title_canon_sha256":"0247ac1b6f402140a8eb11c0780f1befa0f84522eaf6b4ee2020bb7affa17cc0"},"schema_version":"1.0","source":{"id":"1803.08477","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08477","created_at":"2026-05-18T00:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08477v2","created_at":"2026-05-18T00:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08477","created_at":"2026-05-18T00:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"CH4AY5FR55RU","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CH4AY5FR55RUD6OA","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CH4AY5FR","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:4d4291bd2322ebf938968dc82a49915bd0c11b131006f5f407dcd1f1d9e97b83","target":"graph","created_at":"2026-05-18T00:18:49Z","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 prove q-analogues of two Ramanujan-type series for $1/\\pi$ from $q$-analogues of ordinary WZ pairs.","authors_text":"Jes\\'us Guillera","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-22T17:24:19Z","title":"WZ pairs and $q$-Analogues of Ramanujan series for $1/\\pi$ (with an appendix by Wadim Zudilin)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08477","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:d406a26d61d3bc4290abb272ff61ed44f253e79d8b59bc10f82405039e1bdff3","target":"record","created_at":"2026-05-18T00:18:49Z","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":"ff2526300843a226695043cd17e1d807975c45460c8b7398452abac44899dbbb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-22T17:24:19Z","title_canon_sha256":"0247ac1b6f402140a8eb11c0780f1befa0f84522eaf6b4ee2020bb7affa17cc0"},"schema_version":"1.0","source":{"id":"1803.08477","kind":"arxiv","version":2}},"canonical_sha256":"11f80c74b1ef6341f9c00bbcafafc15233f5691c0747a39a96b5ee394c82a17d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11f80c74b1ef6341f9c00bbcafafc15233f5691c0747a39a96b5ee394c82a17d","first_computed_at":"2026-05-18T00:18:49.253038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:49.253038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UZ2nERN+QDM4aEx8fgwuivqo2nDSFDXURbB4NTcY6JLKauJWdvAuC00Bh4qB1+VZsmaOZ2Qxt1KIQ2z34k+gBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:49.253577Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08477","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d406a26d61d3bc4290abb272ff61ed44f253e79d8b59bc10f82405039e1bdff3","sha256:4d4291bd2322ebf938968dc82a49915bd0c11b131006f5f407dcd1f1d9e97b83"],"state_sha256":"5dc9e59970cfe0d545ad24d3a0553c44492cc0e8334b7981f731027732553701"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZAULWtYAPSSA+Nw8A0DV5BzpBFEtBQbJB6VOSJLFEyHgyD6oijOVCexqmgDn22m0PPpgL9NqcYy4lIB0LcOJAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T00:28:10.675255Z","bundle_sha256":"989c79934ac395db32eb04884c1bc653ba4a280c350cc3f2cd121c158c051cb7"}}