{"as_of":"2026-08-03T07:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fa71c344adfbe38b44c21a097a02177457e05db7516a2b50e94367ed132ca767","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T10:48:07.243081Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-03T06:30:56.289259+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T06:09:59.559074Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.15172","snapshot_observed_at":"2026-08-02T01:36:46.299288Z","title":"Hou and Z.-W","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.14646","last_updated":"2026-07-23T15:27:16Z","snapshot_observed_at":"2026-08-02T01:36:42.814340Z","submitted_at":"2026-07-16T07:15:40Z","title":"Multiple Clausen values and deformed Ap\\'ery-like series","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T01:36:46.299288Z"},"links":{"cited_paper":"/paper/2604.15172","citing_paper":"/paper/2607.14646"},"observation_digest":"sha256:bc116a795e500330501929f86758cf989abdaeea14ecfdbed79359252771a3d9","observation_id":"e8955d35-795a-40e1-89e5-1c7ee693df72","resolution":{"observed_at":"2026-08-02T01:36:46.299288Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.15172","snapshot_observed_at":"2026-08-02T06:09:59.559074Z","title":"Hou and Z.-W","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.27229","last_updated":"2026-07-14T18:27:57Z","snapshot_observed_at":"2026-08-02T23:20:56.176124Z","submitted_at":"2026-07-14T18:27:57Z","title":"Derivative sums of balanced gamma quotients and multiple zeta values: four conjectures of Zhi-Wei Sun","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T06:09:59.559074Z"},"links":{"cited_paper":"/paper/2604.15172","citing_paper":"/paper/2607.27229"},"observation_digest":"sha256:67fb774639254849befb8c28d6bef88a4086748cccc4f208ec412d2cc6195f67","observation_id":"96c8a2c9-1815-4969-bedd-e8fc90bf3a67","resolution":{"observed_at":"2026-08-02T06:09:59.559074Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2604.15172/citation-record","integrity":"/paper/2604.15172/integrity","json":"/paper/2604.15172/citation-record.json","paper":"/paper/2604.15172"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ablinger,Discovering and proving infinite binomial sums identities, Experiment","venue":null,"work_id":"5b7de457-25a7-48db-b001-bfe37f71437b","year":2017},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:805584a6fa75b9b544edc64deb4c89ffc5f65efb7662f823a31cae2bd35ccc0f","observation_id":"f3d5ff65-45c0-444c-9902-6579a8ce46aa","resolution":{"observed_at":"2026-05-19T18:23:11.220256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Amdeberhan and D","venue":null,"work_id":"d2554cd2-c3a3-4521-bdbd-456b9092596e","year":1997},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:295b9986d2bc272c8adaefda68668dceeb05d4c58fa012b0d8b424016775d8b8","observation_id":"93dd8d10-eebc-465e-afa1-796f956d7978","resolution":{"observed_at":"2026-05-19T18:23:11.226017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Au,Wilf-Zeilberger seeds and non-trivial hypergeometric identities, J","venue":null,"work_id":"eeaa7979-40f7-4725-be76-da162f96a862","year":2025},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:951b8f10f9944fd20589ce10abe71a0bf226cf990cf3dd60a72c65dc46decd4a","observation_id":"4810c2d2-031b-488f-ac0b-a027b4e4a3fa","resolution":{"observed_at":"2026-05-19T18:23:11.238653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Au,Multiple zeta values, WZ-pairs and infinite sums computations, Ramanujan J.66(2025), 3","venue":null,"work_id":"7637b346-c127-4e7a-a090-383ca8ebdb5a","year":2025},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:5e68363ed3b63fc9a013067dc1f227cd9ccea6f5d04a7cad3c55f13cd88a0f4d","observation_id":"d5f1218c-4862-4167-b588-1b0c44892a36","resolution":{"observed_at":"2026-05-19T18:23:11.206509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"957208ca-6d7b-498b-ba51-3c6a384dd745","year":2026},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:78757808bbc518b6dfd195b849459d961eb9beff33525afb3b2e8cc61ecbaaa5","observation_id":"1debca5f-cb56-45e1-ac80-ad6055bad498","resolution":{"observed_at":"2026-05-19T18:23:11.243940Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Chen,Some series related toζ(3), ζ(4), ζ(5), ζ(6), ζ(7), Question 508743 at Math- Overflow, March 4","venue":null,"work_id":"2204cfd7-399b-45b3-86ce-5f70579e0687","year":2026},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:9647e8a7e781064ed99ff98c4e6182d9c77d16dba551df4df8ab63df1bf4506d","observation_id":"edc91da6-3246-41f1-95a0-307dca2d0404","resolution":{"observed_at":"2026-05-19T18:23:11.217060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Chu and W","venue":null,"work_id":"d0ccf633-9894-4526-995b-3b60610b77a0","year":2014},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:c35aa02d348820611f599c145c099189a7781299f20d7dc592cdca6840b3b795","observation_id":"a5193863-5733-493e-a553-2c483af79556","resolution":{"observed_at":"2026-05-19T18:23:11.232190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Gessel, Finding identities with the WZ method, J","venue":null,"work_id":"b9c93973-cf6d-41d9-a198-5fab22daaf95","year":1995},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:1e51ac3892288e5c1bf51356b71461a04c13e211f8474606410dbe2aea49679e","observation_id":"25300c61-d5e5-4aac-ab4c-615ce22dfab0","resolution":{"observed_at":"2026-05-19T18:23:11.208250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Guillera, Hypergeometric identities for 10 extended Ramanujan-type series, Ra- manujan J.15(2008) 219–234","venue":null,"work_id":"d8824d29-fe98-421c-8146-902f40692958","year":2008},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:2bd38bc40daac662a7cceca3599c1a34724af9e910e6686c759b8eb23beb541e","observation_id":"6812dc5e-f1fb-469f-bfd1-ea64ade5dcd3","resolution":{"observed_at":"2026-05-19T18:23:11.240459Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"19fdf312-1f86-4e4b-a945-c6895bcd77ea","year":2019},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:537693e51dfc1b906988a6c4b84e07237c223513f722c0a7ef14b0cc0735241a","observation_id":"7ef8ce75-e7f8-475b-b4dd-803c164ad83d","resolution":{"observed_at":"2026-05-19T18:23:11.221960Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Petkovˇ sek, H","venue":null,"work_id":"dc159144-e2f3-49cf-a3af-ced1fb68b849","year":1996},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:97d9911e9196feb6ab6ccaa98c64c1266172695a1bf81050a86483164d6c4f18","observation_id":"47a59460-364c-42d2-a1bd-c9a518d0bbe1","resolution":{"observed_at":"2026-05-19T18:23:11.209845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Sun,New series for some special values ofL-functions, Nanjing Univ","venue":null,"work_id":"cfd35a92-992e-44b8-a51e-7b55c1883214","year":2015},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:cff57b10503592ddbd824e58cb60fe5ea2418a9260578a721e182163a5343fe8","observation_id":"e316f16a-b8a5-40bc-a9c3-977a294213e7","resolution":{"observed_at":"2026-05-19T18:23:11.235956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Sun,New congruences involving harmonic numbers, Nanjing Univ","venue":null,"work_id":"e6b67974-8f5d-4308-9c3e-87366e550580","year":2023},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:a525fc456a4973c1ba09dfd37d2cdff5d245728fd766c1332e5c98f8894a9414","observation_id":"e1ac4f8f-959b-40f2-a6c4-d78464931445","resolution":{"observed_at":"2026-05-19T18:23:11.215229Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Sun,Three conjectural series forπ 2 and related identities, Question 456443 at MathOverflow, Oct","venue":null,"work_id":"e1f9962e-7f41-4b2f-a8f9-fb93c409b255","year":2023},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:666a27d0f42a72585bc27ab48a86f5a630f95cc9b8587721ec0bcb7c54252752","observation_id":"f48c5696-cd49-4b2b-b498-1d91ada81801","resolution":{"observed_at":"2026-05-19T18:23:11.230419Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Sun,New series involving binomial coefficients (I), J","venue":null,"work_id":"06568cee-a719-498e-befe-37bb5cbd351b","year":2024},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:8dd726f532a0f74faf656d516b8668c0fb059538f00373c2afbec4aaaea82570","observation_id":"bd523fff-ea22-4707-8c1c-eb7a3482e824","resolution":{"observed_at":"2026-05-19T18:23:11.211505Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Sun,Series with summands involving harmonic numbers, in: M","venue":null,"work_id":"60dbcee8-cbb1-4998-9745-d807fa14245f","year":2025},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:eab86608d51e7091a7f93eaa2c7a5f0ad235cd4090680d019be0d54151be8239","observation_id":"d3e4e0a5-363a-41ef-9ca4-d3f4a137fa35","resolution":{"observed_at":"2026-05-19T18:23:11.234009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2307.03086","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Sun, New series involving binomial coefficients (II), Acta Math","venue":null,"work_id":"6b22768f-9a2f-4f7b-995d-b877da70bbe0","year":null},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:41bb73101229d9ba4990f6e72a4260d7a3a274bf61830c33d269031ec59c31da","observation_id":"97d0e377-d701-4253-bbea-3d0491f1c874","resolution":{"observed_at":"2026-05-10T10:49:56.243614Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Sun,More conjectural formulas for Riemann’s zeta function, Question 508769 at MathOverflow, March 5","venue":null,"work_id":"9a664b86-2f07-4063-b4ce-bc86efb234c6","year":2026},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:7e5f7556d03db6a10434f02eb837ed2b64a9bbe44ff4f66f91803127eb3b37b8","observation_id":"6d1c64ab-47e4-4625-88a2-54ceec381bd5","resolution":{"observed_at":"2026-05-19T18:23:11.213498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.29973","last_updated":"2026-04-13T15:53:21Z","snapshot_observed_at":"2026-07-06T22:51:18.036225Z","submitted_at":"2026-03-31T16:35:10Z","title":"Various conjectural series identities","version":3},"cited_work":{"arxiv_id":"2603.29973","doi":null,"metadata_source":"pith","pith_arxiv_id":"2603.29973","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Various conjectural series identities","venue":"math.NT","work_id":"2c49abc6-ee3c-4091-b929-5983429a4530","year":2026},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"cited_paper":"/paper/2603.29973","citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:df680ff11222bd36825ab1ce215ab0efa97778989edfb015c280e80b39d7a433","observation_id":"4a37117a-6619-42eb-842c-032727da5b4b","resolution":{"observed_at":"2026-05-10T10:49:56.237719Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e1777764-95d5-4c44-bc2e-f2090d2369bf","year":1992},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:16304ef7ccb9b6b621c8a1855e4508e47c9807248c5d9a24c1139e9e75c98044","observation_id":"7900d1c0-7660-42c7-a46e-5cde039aa61c","resolution":{"observed_at":"2026-05-19T18:23:11.242197Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zeilberger,Closed form (pun intended!), Contemporary Math.143(1993), 579– 607","venue":null,"work_id":"35455953-764d-4eef-8eb4-ca13e33d9525","year":1993},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:49d539352030acf8ca9cdb0a41d705a87100b1252323c6f8fe292998e4eb22d2","observation_id":"c31b735b-3155-4c81-9503-51c3b776dba9","resolution":{"observed_at":"2026-05-19T18:23:11.227820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zhou,Notes on certain binomial harmonic sums of Sun’s type, Ramanujan J.69 (2026), Article No","venue":null,"work_id":"0185e389-9323-4dcc-8502-f4a818a6c873","year":2026},"citing_paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-10T10:48:07.243081Z"},"links":{"citing_paper":"/paper/2604.15172"},"observation_digest":"sha256:6a492d200bef8f229ffeb3172a7707e15f695cac1b43eec0e4392c06af5693a9","observation_id":"db1750ae-8c7c-4b69-898b-18e0bd97c5ed","resolution":{"observed_at":"2026-05-19T18:23:11.223925Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.15172","last_updated":"2026-04-16T15:49:32Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T23:02:49.302337Z","submitted_at":"2026-04-16T15:49:32Z","title":"Evaluations of some series via the WZ method"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":2,"verified_fuzzy":17},"total_outbound_references":22},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"thesis":"As of 3 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2604.15172."}