{"as_of":"2026-08-21T19:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3a5a9e33427b80bb447aa43e72323fc320efb15eb59489595712e77b309c67a3","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T15:54:36.114156Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T07:49:39.260398Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.00943","last_updated":"2024-10-31T02:22:59Z","snapshot_observed_at":"2026-08-19T19:39:26.525609Z","submitted_at":"2024-03-01T19:41:54Z","title":"On the Hardness of Fair Allocation under Ternary Valuations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.00943","snapshot_observed_at":"2026-08-12T15:54:36.114156Z","title":"On the Hardness of Fair Allocation under Ternary Valuations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.14007","last_updated":"2025-05-16T07:10:09Z","snapshot_observed_at":"2026-08-16T23:12:06.366910Z","submitted_at":"2024-11-21T10:42:38Z","title":"Approximating One-Sided and Two-Sided Nash Social Welfare With Capacities","version":3},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-12T15:54:36.114156Z"},"links":{"cited_paper":"/paper/2403.00943","citing_paper":"/paper/2411.14007"},"observation_digest":"sha256:17768611154c8fec9b3cd0111318973cf9f548bb0aa2443b36415bea3539c639","observation_id":"546b8fd7-ab57-41b4-9123-32e79fad12b8","resolution":{"observed_at":"2026-08-12T15:54:36.114156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.00943","last_updated":"2024-10-31T02:22:59Z","snapshot_observed_at":"2026-08-19T19:39:26.525609Z","submitted_at":"2024-03-01T19:41:54Z","title":"On the Hardness of Fair Allocation under Ternary Valuations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.00943","snapshot_observed_at":"2026-08-07T13:22:49.194525Z","title":"URL https://doi.org/10","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.22174","last_updated":"2025-05-28T09:48:16Z","snapshot_observed_at":"2026-08-20T08:22:22.054636Z","submitted_at":"2025-05-28T09:48:16Z","title":"Online Fair Division for Personalized $2$-Value Instances","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:22:49.194525Z"},"links":{"cited_paper":"/paper/2403.00943","citing_paper":"/paper/2505.22174"},"observation_digest":"sha256:ff4194902f9373c6c874991bd00af2584ec76e2f93d1fdada4776b8a5745ce73","observation_id":"7b218b1f-c5b7-409a-9be2-319e93e4be7e","resolution":{"observed_at":"2026-08-07T13:22:49.194525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.00943","last_updated":"2024-10-31T02:22:59Z","snapshot_observed_at":"2026-08-19T19:39:26.525609Z","submitted_at":"2024-03-01T19:41:54Z","title":"On the Hardness of Fair Allocation under Ternary Valuations","version":2},"cited_work":{"arxiv_id":"2403.00943","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.00943","snapshot_observed_at":"2026-07-04T07:49:39.260398Z","title":"arXiv preprint arXiv:2403.00943 , year=","venue":null,"work_id":"3b24843f-b196-4b36-88b1-6970bd4f8b82","year":null},"citing_paper":{"arxiv_id":"2606.21346","last_updated":"2026-06-19T11:42:27Z","snapshot_observed_at":"2026-08-15T08:22:37.430650Z","submitted_at":"2026-06-19T11:42:27Z","title":"Simultaneously Efficient Allocation of Indivisible Items Across Multiple Dimensions","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-26T12:48:01.794253Z"},"links":{"cited_paper":"/paper/2403.00943","citing_paper":"/paper/2606.21346"},"observation_digest":"sha256:597de45765d7979aa0ddf7411c4068455cf96a0fcd0cb4609f714f2a9138b4e0","observation_id":"ea17596a-5302-46d8-9d6e-4138072eeaa6","resolution":{"observed_at":"2026-07-04T07:49:39.261762Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.00943","last_updated":"2024-10-31T02:22:59Z","snapshot_observed_at":"2026-08-19T19:39:26.525609Z","submitted_at":"2024-03-01T19:41:54Z","title":"On the Hardness of Fair Allocation under Ternary Valuations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.00943","snapshot_observed_at":"2026-08-02T05:45:28.827738Z","title":"2024 , bdsk-url-1 =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13340","last_updated":"2026-07-14T23:59:26Z","snapshot_observed_at":"2026-08-19T19:39:46.134259Z","submitted_at":"2026-07-14T23:59:26Z","title":"A Better-than-$e^{1/e}$ Approximation Algorithm for Nash Social Welfare under Additive Valuations","version":1},"reference_index":119,"source":"arxiv_source","source_observed_at":"2026-08-02T05:45:28.827738Z"},"links":{"cited_paper":"/paper/2403.00943","citing_paper":"/paper/2607.13340"},"observation_digest":"sha256:fac05e5a107991615c9eb1c22402421e7c56fa5bc16525499cdaf450b2a3d716","observation_id":"3483c0ae-b2bf-4059-872e-f592072a13df","resolution":{"observed_at":"2026-08-02T05:45:28.827738Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2403.00943/citation-record","integrity":"/paper/2403.00943/integrity","json":"/paper/2403.00943/citation-record.json","paper":"/paper/2403.00943"},"outbound":[],"paper":{"arxiv_id":"2403.00943","last_updated":"2024-10-31T02:22:59Z","latest_version":2,"primary_category":"cs.GT","snapshot_observed_at":"2026-08-19T19:39:26.525609Z","submitted_at":"2024-03-01T19:41:54Z","title":"On the Hardness of Fair Allocation under Ternary Valuations"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2403.00943."}