{"as_of":"2026-08-17T06:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:28f40ee13b26b18bf2004d4042b8a3c2f2ae14fab79cf5d8bdaa6687ad4d4349","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T19:50:42.324753Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:51:50.945407Z","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":"2026-05-19T08:32:11.660547Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.06513","snapshot_observed_at":"2026-08-07T20:41:30.043127Z","title":"Efx allocations on some multi-graph classes, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09777","last_updated":"2025-02-13T21:16:27Z","snapshot_observed_at":"2026-08-16T02:50:03.641127Z","submitted_at":"2025-02-13T21:16:27Z","title":"On the existence of EFX allocations in multigraphs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T20:41:30.043127Z"},"links":{"cited_paper":"/paper/2412.06513","citing_paper":"/paper/2502.09777"},"observation_digest":"sha256:dfd6202fb21fc7398e64be9895e4cca5002153fa40a195d60c03ed0d103c7d1f","observation_id":"46572b02-8c4d-41c5-8ddf-aa2e38b6e909","resolution":{"observed_at":"2026-08-07T20:41:30.043127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.06513","snapshot_observed_at":"2026-08-15T19:51:50.945407Z","title":"arXiv:2412.06513 [cs.GT] https://arxiv.org/abs/2412.06513 Eric Budish","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.15379","last_updated":"2025-06-18T11:48:53Z","snapshot_observed_at":"2026-08-16T20:38:04.715952Z","submitted_at":"2025-06-18T11:48:53Z","title":"Tractable Graph Structures in EFX Orientation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T19:51:50.945407Z"},"links":{"cited_paper":"/paper/2412.06513","citing_paper":"/paper/2506.15379"},"observation_digest":"sha256:4d3a5a6f5ff1a2bd269f785681af09f1d50a76c9b3d3d334f0b64527fa5b680e","observation_id":"a847b0ce-7c8f-4c4a-af5e-691f22ad4558","resolution":{"observed_at":"2026-08-15T19:51:50.945407Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"cited_work":{"arxiv_id":"2412.06513","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.06513","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"EFX allocations on some multi-graph classes","venue":null,"work_id":"40c6eaa5-a4c2-4d75-99f1-5848ca2b22b1","year":2024},"citing_paper":{"arxiv_id":"2506.20317","last_updated":"2026-05-07T08:13:29Z","snapshot_observed_at":"2026-07-06T21:47:25.325461Z","submitted_at":"2025-06-25T10:55:28Z","title":"Exact and approximate maximin share allocations in multi-graphs","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-19T08:30:41.230299Z"},"links":{"cited_paper":"/paper/2412.06513","citing_paper":"/paper/2506.20317"},"observation_digest":"sha256:964965cde20db7be24f09b28595e5be921d69b4e3f78940fa4dc3d7c56ebdcd3","observation_id":"e2ac26ad-e1dd-475e-abea-6e4937488396","resolution":{"observed_at":"2026-05-19T08:32:11.664178Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2412.06513/citation-record","integrity":"/paper/2412.06513/integrity","json":"/paper/2412.06513/citation-record.json","paper":"/paper/2412.06513"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:50:43.000506Z","title":"EFX: A simpler approach and an (almost) optimal guarantee via rainbow cycle number","venue":null,"work_id":"aa156920-35cf-4a44-9602-200d4d7a92a6","year":2023},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.192983Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:e50a9684c2f5ac62ea07d87c53752ab4c32c44a259b6b03071a513e70afd6f1c","observation_id":"397b2047-2099-41f8-99b9-9fac87667029","resolution":{"observed_at":"2026-08-11T19:50:43.008702Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:50:42.199848Z","title":"EFX allocations and orientations on bipartite multi-graphs: A complete picture","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.199848Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:c4023ca7b69b3c15fa8592481d339a0d4878e954ae47ccc23921785bae99b15e","observation_id":"3aaa7961-42a1-40fe-82fd-790ca69e9c15","resolution":{"observed_at":"2026-08-11T19:50:42.199848Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.12413","last_updated":"2026-07-29T12:20:36Z","snapshot_observed_at":"2026-08-16T21:47:20.009694Z","submitted_at":"2024-06-18T09:01:37Z","title":"Pushing the Frontier on Approximate EFX Allocations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.12413","snapshot_observed_at":"2026-08-11T19:50:42.209747Z","title":"Pushing the frontier on approximate EFX allocations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.209747Z"},"links":{"cited_paper":"/paper/2406.12413","citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:05cced414144b5861728f7ca2035f49881b92749449fddad582a148117107029","observation_id":"e5ade9d9-3213-4576-8b55-2d89292b6a2a","resolution":{"observed_at":"2026-08-11T19:50:42.209747Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:50:42.958212Z","title":"Multiple birds with one stone: Beating 1/2 for EFX and GMMS via envy cycle elimination","venue":null,"work_id":"6467bf5d-d093-41f4-b546-f1aeb3029b77","year":2020},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.227103Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:90f65d5870c58a6c2227dea2f180bb93ec43e494e8f3b8ab110d5438eb871faa","observation_id":"35bdafc3-6b24-467e-9a81-9b318d62ec76","resolution":{"observed_at":"2026-08-11T19:50:42.966909Z","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":"2026-08-11T19:50:42.909663Z","title":"The Probabilistic Method","venue":null,"work_id":"1c9cd79d-47e5-477c-8cb9-8c04dd1da6f3","year":2016},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.233585Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:61f7e3e68b5316c9d8bc0635569ea38c9234aaf356fe6dea1dab5aad81dd6a28","observation_id":"44db871a-9318-47c4-8737-8de042d25abf","resolution":{"observed_at":"2026-08-11T19:50:42.917169Z","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":"2102.10654","last_updated":"2021-02-28T20:33:26Z","snapshot_observed_at":"2026-08-16T18:44:05.622134Z","submitted_at":"2021-02-21T17:46:35Z","title":"(Almost Full) EFX Exists for Four Agents (and Beyond)","version":2},"cited_work":{"arxiv_id":"2102.10654","doi":null,"metadata_source":"pith","pith_arxiv_id":"2102.10654","snapshot_observed_at":"2026-08-11T19:50:42.440655Z","title":"(Almost Full) EFX Exists for Four Agents (and Beyond)","venue":"cs.GT","work_id":"73c904f3-33dd-4094-aa11-12017bb928fa","year":2021},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.239870Z"},"links":{"cited_paper":"/paper/2102.10654","citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:a780cfb8a7456692594c0e2dcdac063989e37fcf260139481548c490a65c515b","observation_id":"3ac32d81-b1f9-47da-9c92-a7f511ea4d09","resolution":{"observed_at":"2026-08-11T19:50:42.454912Z","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":"2026-08-11T19:50:42.878894Z","title":"Almost full EFX exists for four agents","venue":null,"work_id":"5ae3730f-af76-410e-9290-9ba32bdad61b","year":2022},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.247133Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:9dede30ec72850f25479231024a549b04d3eeb894e695ceb16d39f0f79b12c81","observation_id":"f423a4f0-228b-4e33-84f5-b559519348fb","resolution":{"observed_at":"2026-08-11T19:50:42.886298Z","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":"2026-08-11T19:50:42.854957Z","title":"Maximin-aware allocations of indivisible goods","venue":null,"work_id":"1fd900ac-4792-47a0-a4ec-d0dd216bdea3","year":2019},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.260434Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:05198716ec255988f7820ceee8a637b063a2c69320a58a79bf2eee628959631c","observation_id":"5ad24022-437d-4e40-8cdd-c3ae2800692b","resolution":{"observed_at":"2026-08-11T19:50:42.861253Z","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":"2026-08-11T19:50:42.828007Z","title":"Fair allocation in graphs","venue":null,"work_id":"d625545f-ef29-46eb-bc3c-d7cda2082f1d","year":2023},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.268958Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:17ea172e7eae4818677b5c52d73f2f7338d77dc7b27adc16b1cd2ce6308bc5f1","observation_id":"6af8a97b-7029-45cc-a246-5c1d40960c76","resolution":{"observed_at":"2026-08-11T19:50:42.834409Z","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":"2026-08-11T19:50:42.801998Z","title":"EFX exists for three agents","venue":null,"work_id":"347b0f94-7dcc-49d0-a626-89cc582b6a2e","year":2024},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.278188Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:a317051b563708145d7d2ef214c02eb16f3e260a625f2d584ebcaa9060b3e721","observation_id":"95dafea3-cce6-4818-90d8-d3f5fdc9ad91","resolution":{"observed_at":"2026-08-11T19:50:42.809828Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:50:42.284952Z","title":"The Unreasonable Fairness of Maximum Nash Welfare","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.284952Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:48870a18118b17c7b2763ee6b96b201e3229f71351b6aec1580a819a4a96e31c","observation_id":"896613c0-754e-4083-9287-bd9494ceb076","resolution":{"observed_at":"2026-08-11T19:50:42.284952Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:50:42.752326Z","title":"A little charity guarantees almost envy-freeness","venue":null,"work_id":"175ad4fa-863d-4e04-b96d-5948dfcc01bb","year":2021},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.293325Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:7062408fd166d1f3f09f8bd9977a74d7d2e7cc317ce1fef6606be8ad8137c801","observation_id":"bd560558-6ee4-4f6f-af01-040da0c34d9f","resolution":{"observed_at":"2026-08-11T19:50:42.760916Z","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":"2026-08-11T19:50:42.715824Z","title":"Goldberg, Kasper H gh, and Alexandros Hollender","venue":null,"work_id":"4020850c-10c6-44f0-a193-7cc9b6c86331","year":2023},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.299213Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:7441968b584acb1047f8d5fbdd4a5d560c7253034c0342e6aa5bdc7228024617","observation_id":"c3bfe2f0-abe3-4e89-887d-c7c1e979faed","resolution":{"observed_at":"2026-08-11T19:50:42.726801Z","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":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.13580","snapshot_observed_at":"2026-08-11T19:50:42.305381Z","title":"EFX exists for three types of agents","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.305381Z"},"links":{"cited_paper":"/paper/2410.13580","citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:6ea30b35868d3271747934303820a136ffc42091b36d038dd5276bebed6365ba","observation_id":"9b6900cd-a147-4309-9b0c-94b39884da45","resolution":{"observed_at":"2026-08-11T19:50:42.305381Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:50:42.692724Z","title":"Existence of EFX for two additive valuations","venue":null,"work_id":"7bea3809-57dd-4fcb-82dc-3dafdc9ad2fb","year":2023},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.313495Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:1cfb736fc8b0bc8287ac676975dcb51b775bdb05149a3748d2bb871706e25903","observation_id":"bd777567-3dd9-4115-8564-b3376d7dbc3a","resolution":{"observed_at":"2026-08-11T19:50:42.698835Z","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":"2026-08-11T19:50:42.666460Z","title":"Almost envy-freeness with general valuations","venue":null,"work_id":"92ec8686-8c41-4846-ac7d-87b66d8e32e0","year":2020},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.319677Z"},"links":{"citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:f1d711e89174f7c5d1ef4bfa76a39417bc6990bfd510457986ce9327bb8538bc","observation_id":"4a98fae3-b1d6-4172-a874-f076a8397f34","resolution":{"observed_at":"2026-08-11T19:50:42.675298Z","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":"2404.13527","last_updated":"2024-07-23T20:00:34Z","snapshot_observed_at":"2026-08-16T13:59:11.625333Z","submitted_at":"2024-04-21T04:44:34Z","title":"On the structure of EFX orientations on graphs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.13527","snapshot_observed_at":"2026-08-11T19:50:42.324753Z","title":"On the structure of envy-free orientations on graphs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T19:50:42.324753Z"},"links":{"cited_paper":"/paper/2404.13527","citing_paper":"/paper/2412.06513"},"observation_digest":"sha256:0a5dfa1538da0592e7dc882c1cd9a6d366b699fba2f9b83068cef3900b9ecb9f","observation_id":"e7ca4216-0d88-4e5d-8c59-750d153789ea","resolution":{"observed_at":"2026-08-11T19:50:42.324753Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.06513","last_updated":"2024-12-09T14:14:44Z","latest_version":1,"primary_category":"cs.GT","snapshot_observed_at":"2026-08-11T19:32:20.446481Z","submitted_at":"2024-12-09T14:14:44Z","title":"EFX Allocations on Some Multi-graph Classes"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":1,"verified_fuzzy":11},"total_outbound_references":17},"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 17 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 3 inbound Pith citation observations for arXiv:2412.06513."}