{"as_of":"2026-08-05T04:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:44fb96369926f40847789bc48c655705e4045b2974e284ec401416b646681388","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-30T05:03:39.575549Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-04T06:34:03.388597+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/2606.30506/citation-record","integrity":"/paper/2606.30506/integrity","json":"/paper/2606.30506/citation-record.json","paper":"/paper/2606.30506"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T05:03:39.575549Z","title":"Alon,Additive Latin transversals, Israel J","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-30T05:03:39.575549Z"},"links":{"citing_paper":"/paper/2606.30506"},"observation_digest":"sha256:f08cd40d754399b52f307a6b09938708af7c07d09985eee0d64d12237fc92261","observation_id":"b3c81428-408c-4f4f-90d3-063042eb9ea3","resolution":{"observed_at":"2026-06-30T05:03:39.575549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T05:03:39.575549Z","title":"Arsovski,A proof of Snevily’s conjecture, Israel J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-30T05:03:39.575549Z"},"links":{"citing_paper":"/paper/2606.30506"},"observation_digest":"sha256:c523f1a6e13ed20c36220aabaa8dcd6734f72a3836ad24f4285465a076c991ef","observation_id":"55ac8e60-e27f-45c9-9654-82efbb44a58c","resolution":{"observed_at":"2026-06-30T05:03:39.575549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T05:03:39.575549Z","title":"Dasgupta, G","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-30T05:03:39.575549Z"},"links":{"citing_paper":"/paper/2606.30506"},"observation_digest":"sha256:a63936e510a3eb1a4c3a8a0482f553b14edaef0f0530434695dc4855224d8dee","observation_id":"9c07ce12-5ab4-4fef-a52e-6858797e22e0","resolution":{"observed_at":"2026-06-30T05:03:39.575549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T05:03:39.575549Z","title":"Feng, Z.W","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-30T05:03:39.575549Z"},"links":{"citing_paper":"/paper/2606.30506"},"observation_digest":"sha256:4bec3844d647ab44db934a214239ce4eb6f8ef67161375b60f3a17f674ebb262","observation_id":"ba7dc633-e1c9-4b52-b501-8084544373c5","resolution":{"observed_at":"2026-06-30T05:03:39.575549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T05:03:39.575549Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-30T05:03:39.575549Z"},"links":{"citing_paper":"/paper/2606.30506"},"observation_digest":"sha256:c61f1e6dac486ef6fca5808aea5f66cc869fc4abf175391668d8c95b58d6691b","observation_id":"b0720c56-131a-47f7-9760-50c46ff6f9f0","resolution":{"observed_at":"2026-06-30T05:03:39.575549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T05:03:39.575549Z","title":"Hall, Jr.,A combinatorial problem on abelian groups, Proc","venue":null,"work_id":null,"year":1952},"citing_paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-30T05:03:39.575549Z"},"links":{"citing_paper":"/paper/2606.30506"},"observation_digest":"sha256:48766e8b29c2b529ca7561dba7caa5436900c538c07d8365536c9640739e76ad","observation_id":"53b8880c-52ff-49dc-aedb-b8ec07c9a9a9","resolution":{"observed_at":"2026-06-30T05:03:39.575549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T05:03:39.575549Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-30T05:03:39.575549Z"},"links":{"citing_paper":"/paper/2606.30506"},"observation_digest":"sha256:3d04394165eebf8391c23fe1bbc18b6506080af0828a86fa364759a2cd60b0bf","observation_id":"3db104cd-c894-4423-947e-7a024a0b930f","resolution":{"observed_at":"2026-06-30T05:03:39.575549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T05:03:39.575549Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-30T05:03:39.575549Z"},"links":{"citing_paper":"/paper/2606.30506"},"observation_digest":"sha256:dd2fda8df6cdb9642578aa22a687dd1d9c206d78879ef3d606e340ccbe4acd9c","observation_id":"95e3f2a4-7f7b-4e48-922e-6a3500abf1ac","resolution":{"observed_at":"2026-06-30T05:03:39.575549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T05:03:39.575549Z","title":"Sun,On Snevily’s conjecture and restricted sumsets, Journal of Combinatorial Theory, Series A,103, 291– 304, 2003","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-30T05:03:39.575549Z"},"links":{"citing_paper":"/paper/2606.30506"},"observation_digest":"sha256:030cef3b833404bcfde6dd01d3491cbcd71da9ce8e62e8712842e3feeef2b899","observation_id":"df890ff8-2749-4141-abaf-48fb01bddcff","resolution":{"observed_at":"2026-06-30T05:03:39.575549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.30506","last_updated":"2026-06-29T16:12:56Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-07T00:04:20.023800Z","submitted_at":"2026-06-29T16:12:56Z","title":"Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":9},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2606.30506."}