{"as_of":"2026-08-12T22:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:147f9abf1217bcde041c6fb24cea07a717bacb7b7ebaf82c7dbc6916b71e266e","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-09T00:04:09.286521Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2607.05795/citation-record","integrity":"/paper/2607.05795/integrity","json":"/paper/2607.05795/citation-record.json","paper":"/paper/2607.05795"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T00:05:48.120560Z","title":"Bachmann, Stuffle regularized multiple Eisenstein series revisited , RIMS Kokyuroku (2022), No","venue":null,"work_id":"c3f1f8db-dd69-4647-ab53-c52bfa9030de","year":2022},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:0f4d3089a93ae296e60d4e17cc7081b4109d7c38503666ded3a5bfd8c2d2bef7","observation_id":"0e68bac0-ff08-4c7e-abbd-1d61bfd70377","resolution":{"observed_at":"2026-07-09T00:05:48.121794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.110489Z","title":"Baumard, L","venue":null,"work_id":"69eba907-dcfa-447c-a366-95b261668aa6","year":2013},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:f372b55f62a55368f4f007ac15fcdf9fa0402f7405b83d0b334a1623e40a9055","observation_id":"352971f3-e1cd-4e5d-b0d8-05b4a3975ff4","resolution":{"observed_at":"2026-07-09T00:05:48.111578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.102650Z","title":"Bouillot, The algebra of multitangent functions , J","venue":null,"work_id":"8047089a-c2c2-48c2-848f-594825922e6e","year":2014},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:86bcf2bcaefa297243973de351cd953f4a3282bbfed23fec1fc3490af08082ff","observation_id":"2dc12697-b726-4b1d-a323-4bc8310053f6","resolution":{"observed_at":"2026-07-09T00:05:48.104044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.127864Z","title":"Gangl, M","venue":null,"work_id":"694e5b2a-7f9a-4664-a1a9-ed74449ebd2f","year":2006},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:1da25336c8e876f37eb1c1641ac14cd36c20ab71de73016e0dc13af01d6e2c63","observation_id":"c19b5ba8-0c8b-48d6-a13d-5243c4bd3ca0","resolution":{"observed_at":"2026-07-09T00:05:48.128916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.132695Z","title":"Glaisher, On the residues of the sums of products of the first p − 1 numbers and their powers, to modulus p2 or p3, Quarterly J","venue":null,"work_id":"c7cd8dc5-b366-4e7d-978b-a9fe61814e1b","year":1900},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:20aab7c9a828442d0656eabdcdc1ab64c02e8aebe487a72551ef5adf923ff24c","observation_id":"589bf5df-43a8-40e2-bc3b-e9db0cd18a82","resolution":{"observed_at":"2026-07-09T00:05:48.133901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.13902","last_updated":"2024-02-21T16:12:42Z","snapshot_observed_at":"2026-08-08T02:07:46.908326Z","submitted_at":"2024-02-21T16:12:42Z","title":"Multitangent functions and symmetric multiple zeta values","version":1},"cited_work":{"arxiv_id":"2402.13902","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.13902","snapshot_observed_at":"2026-07-09T00:05:47.884628Z","title":"Hirose, Multitangent functions and symmetric multiple zeta values","venue":"math.NT","work_id":"92028774-1a5c-4aa4-9857-18e5192194b1","year":2024},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"cited_paper":"/paper/2402.13902","citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:cf1c9a27cf1744ca5e7d9f00212f506d7bd2d2cc8f22a7a0d7ce1f90708ae182","observation_id":"08dd47a5-f3b1-4601-8dc3-db8c58b114e1","resolution":{"observed_at":"2026-07-09T00:05:47.885930Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.113925Z","title":"Hoffman, Quasi-symmetric functions and mod p multiple harmonic sums , Kyushu J","venue":null,"work_id":"038b290b-0dbd-43ea-968f-9a36e5e6cdec","year":2015},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:326a31cd48789d1f558b44e64a642627931f342883c2ec5ac6c672e6b8c972c6","observation_id":"fc7af8d3-5772-4649-b396-05f0764f6710","resolution":{"observed_at":"2026-07-09T00:05:48.115110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.131073Z","title":"Ihara, M","venue":null,"work_id":"688f8f87-f3bc-4f68-8dc4-ab7a43e06819","year":2006},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:7e4a04ccb21d56bf190fe4d72aed76ed993515c61d06120d6147da146e965739","observation_id":"3725f77d-c2bf-42e7-b854-c26b9a8b815d","resolution":{"observed_at":"2026-07-09T00:05:48.132125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.122389Z","title":"Jarossay, Double m´ elange des multizˆ etas finis et multizˆ etas sym´ etris´ es, Comptes Rendus","venue":null,"work_id":"c5f399b1-e86c-4d51-8f5d-f94743726887","year":2014},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:c49ec0c70ca79048fab85829a056e448fb2ebf7ed59e3786b2a3e3911e72351a","observation_id":"fc6205fb-227b-4945-9992-3e93144ff911","resolution":{"observed_at":"2026-07-09T00:05:48.123618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.115873Z","title":"Kaneko, An introduction to classical and finite multiple zeta values , Publications Math´ ematiques de Besan¸ con, no.1 (2019), 103–129","venue":null,"work_id":"967461e2-130e-479c-8c27-19b084347e8e","year":2019},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:2ef425129e4afde2261a36b6c0243abab2eb44d925fb19622652c5c8f302411a","observation_id":"af588270-e744-4ecf-887b-75c1b84bd6ec","resolution":{"observed_at":"2026-07-09T00:05:48.119973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.104629Z","title":"Kaneko, Double zeta values and modular forms , proceedings of the Japan–Korea joint seminar on Number Theory (Kuju, Japan) (H","venue":null,"work_id":"763a8070-81fb-43d1-a775-dcb6e7a53e5a","year":2004},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:7d2f07288942d7dab78e1c91cdd55b70dcd0243a8d591edc6723bfd789854833","observation_id":"2aa70db6-5955-4184-bfe3-2a3bb5e2e922","resolution":{"observed_at":"2026-07-09T00:05:48.105982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.106534Z","title":"Kaneko, D","venue":null,"work_id":"4cd986f9-4ea9-44e0-91c4-28cb55ba622e","year":null},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:ddd73aa2bb83ee8de7a0c4802abe0ed62372e290b24b51533b10d3a6f008189a","observation_id":"bce8703a-18e5-4851-acae-57abef9050bd","resolution":{"observed_at":"2026-07-09T00:05:48.107839Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2005.09434","last_updated":"2020-05-19T13:24:12Z","snapshot_observed_at":"2026-08-04T01:36:30.014388Z","submitted_at":"2020-05-19T13:24:12Z","title":"Congruences related to Miki's identity","version":1},"cited_work":{"arxiv_id":"2005.09434","doi":null,"metadata_source":"pith","pith_arxiv_id":"2005.09434","snapshot_observed_at":"2026-07-09T00:05:47.881486Z","title":"Congruences related to Miki's identity","venue":"math.CO","work_id":"a6dd055f-a2fb-4821-a7f0-7537a15034ff","year":2020},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"cited_paper":"/paper/2005.09434","citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:531e1195293b63b9e27538d9e430c6d544b40bd0bd83a7c6deaf82b3ab16701e","observation_id":"6a68258a-5b18-49cd-8b83-9a5c2724dc08","resolution":{"observed_at":"2026-07-09T00:05:47.883103Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.125894Z","title":"Miki, A relation between Bernoulli numbers , Journal of Number Theory 10 (1978), 297-302","venue":null,"work_id":"db372de4-149f-43a9-9f00-962111e46448","year":1978},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:55cfc7cd2c531e36c88012975d7f4fe391e18f02941462123da6c7c14f68e879","observation_id":"cb1c5b35-8f0d-4e8a-b44d-1f9ac5295c8f","resolution":{"observed_at":"2026-07-09T00:05:48.127138Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.124192Z","title":null,"venue":null,"work_id":"61bdcc36-d6fc-4dd2-91e4-e8e854b941a9","year":2021},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:5fa2df5c0c78c87ab3c82686f6b4210b441db77d38ff975cc4522ea933fd3f4c","observation_id":"3f3243b7-3931-4882-9a47-f661b590dc09","resolution":{"observed_at":"2026-07-09T00:05:48.125292Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.108394Z","title":null,"venue":null,"work_id":"5805cf98-1a10-45af-b1bf-5accfdeeaee9","year":null},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:4062c59512a641cd1b352d2d3956dc18a387125a8a1712c96bb0fe38017a7f5c","observation_id":"9bd749ee-2065-4690-9807-214ce6d8b7df","resolution":{"observed_at":"2026-07-09T00:05:48.109823Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.129469Z","title":"Yasuda, Finite real multiple zeta values generate the whole space Z , Int","venue":null,"work_id":"b45fea5c-723c-4009-8ece-bb9ac2d6e1ca","year":2016},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:c842ab2beb6370658ec70f0c4811d977c34010a4b92349ee2e10a1059f8e5d3b","observation_id":"35ec559f-5b12-4928-a2f7-d44859d4bddc","resolution":{"observed_at":"2026-07-09T00:05:48.130556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-07-09T00:05:48.112133Z","title":"Zhao, Wolstenholme type theorem for multiple harmonic sums , Int","venue":null,"work_id":"ae85575a-fe19-4976-ad9f-48f1b5d785ab","year":2008},"citing_paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-09T00:04:09.286521Z"},"links":{"citing_paper":"/paper/2607.05795"},"observation_digest":"sha256:031a377ee80067fc2605b2d41ce8ad16024464d3d9bf5b8087bbb0a9b755dc56","observation_id":"90384aa1-b9e8-46f1-8c90-5b8a62894243","resolution":{"observed_at":"2026-07-09T00:05:48.113380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.05795","last_updated":"2026-07-07T03:47:51Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-09T08:18:42.887335Z","submitted_at":"2026-07-07T03:47:51Z","title":"An Explicit Expression for MZVs in Terms of Symmetric MZVs"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":14},"total_outbound_references":18},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.05795."}