{"as_of":"2026-08-16T20:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0ee5adcacf61e5479a104128f5eec94b38117ae823d3a3fa538b2f933ee487c2","coverage":[{"denominator":5,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:07:47.870897Z","state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/2507.09600/citation-record","integrity":"/paper/2507.09600/integrity","json":"/paper/2507.09600/citation-record.json","paper":"/paper/2507.09600"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:07:48.661670Z","title":"Efx: a simpler approach and an (almost) optimal guarantee via rainbow cycle number","venue":null,"work_id":"8fcaf3eb-1753-4a9f-aed9-e330565ce40a","year":2023},"citing_paper":{"arxiv_id":"2507.09600","last_updated":"2025-07-13T12:08:01Z","snapshot_observed_at":"2026-08-16T19:40:44.857328Z","submitted_at":"2025-07-13T12:08:01Z","title":"On the existence of EFX allocations for goods","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T18:07:47.585986Z"},"links":{"citing_paper":"/paper/2507.09600"},"observation_digest":"sha256:920f439bc53f28e5b0b1cc71214fce817ba01b713a6bf5b20dd433f302ee5c0e","observation_id":"648e8ba0-1855-4c4f-ae03-f3d7483ab10f","resolution":{"observed_at":"2026-08-06T18:07:48.748465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T18:07:48.479034Z","title":"The unreasonable fairness of maximum nash welfare","venue":null,"work_id":"995e0f99-ceee-4f7b-af5e-b685c2bf99ce","year":2019},"citing_paper":{"arxiv_id":"2507.09600","last_updated":"2025-07-13T12:08:01Z","snapshot_observed_at":"2026-08-16T19:40:44.857328Z","submitted_at":"2025-07-13T12:08:01Z","title":"On the existence of EFX allocations for goods","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T18:07:47.630472Z"},"links":{"citing_paper":"/paper/2507.09600"},"observation_digest":"sha256:03e324902dbdda41e722dd2ff2a855d7530f5a15cb90fc2c46f075a0d3142720","observation_id":"15690cac-5f08-492d-be87-6ff3a212edbe","resolution":{"observed_at":"2026-08-06T18:07:48.556185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.13580","last_updated":"2025-05-23T04:53:35Z","snapshot_observed_at":"2026-08-16T13:08:24.580364Z","submitted_at":"2024-10-17T14:15:08Z","title":"EFX Exists for Three Types of Agents","version":3},"cited_work":{"arxiv_id":"2410.13580","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.13580","snapshot_observed_at":"2026-08-06T18:07:48.005151Z","title":"EFX Exists for Three Types of Agents","venue":"cs.GT","work_id":"d67c8ce4-a641-4310-a1f2-48c2e63c5ac7","year":2024},"citing_paper":{"arxiv_id":"2507.09600","last_updated":"2025-07-13T12:08:01Z","snapshot_observed_at":"2026-08-16T19:40:44.857328Z","submitted_at":"2025-07-13T12:08:01Z","title":"On the existence of EFX allocations for goods","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T18:07:47.732204Z"},"links":{"cited_paper":"/paper/2410.13580","citing_paper":"/paper/2507.09600"},"observation_digest":"sha256:75ead2c38d154b6786b41f6aa29e9f7c76a3e3aa347431b7a8fad6cbd0b8f978","observation_id":"6311a80b-a338-4670-9b35-f57122f4e293","resolution":{"observed_at":"2026-08-06T18:07:48.039828Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T18:07:48.317245Z","title":"Existence of efx for two additive valuations","venue":null,"work_id":"6b52bf00-b38b-4b92-82bd-09e9f74fd38c","year":2023},"citing_paper":{"arxiv_id":"2507.09600","last_updated":"2025-07-13T12:08:01Z","snapshot_observed_at":"2026-08-16T19:40:44.857328Z","submitted_at":"2025-07-13T12:08:01Z","title":"On the existence of EFX allocations for goods","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T18:07:47.801537Z"},"links":{"citing_paper":"/paper/2507.09600"},"observation_digest":"sha256:4005efc0a30264ad8e7132edc9a24d8a24786190109f8ece72e04418226ea709","observation_id":"1a36bcd9-9a98-4cab-857a-54b1d36d1647","resolution":{"observed_at":"2026-08-06T18:07:48.388815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T18:07:48.120137Z","title":"Almost envy-freeness with general valuations","venue":null,"work_id":"dcd64074-ba99-4335-b17c-2b67dd895d64","year":2020},"citing_paper":{"arxiv_id":"2507.09600","last_updated":"2025-07-13T12:08:01Z","snapshot_observed_at":"2026-08-16T19:40:44.857328Z","submitted_at":"2025-07-13T12:08:01Z","title":"On the existence of EFX allocations for goods","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T18:07:47.870897Z"},"links":{"citing_paper":"/paper/2507.09600"},"observation_digest":"sha256:3b9a8509781fcd270d42e490a528c014ca64718396a17ef6b9016266d14cc113","observation_id":"a668dc4c-f122-4e0c-98c1-90b9e407833c","resolution":{"observed_at":"2026-08-06T18:07:48.229214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.09600","last_updated":"2025-07-13T12:08:01Z","latest_version":1,"primary_category":"econ.TH","snapshot_observed_at":"2026-08-16T19:40:44.857328Z","submitted_at":"2025-07-13T12:08:01Z","title":"On the existence of EFX allocations for goods"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":1,"verified_fuzzy":4},"total_outbound_references":5},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2507.09600."}