{"as_of":"2026-08-16T07:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:28f66d3c5ba6cbe92d0ddd0c6ccec10a09210574c8714b5f8b1731510d8707d6","coverage":[{"denominator":44,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":44,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:04:23.134448Z","state":"measured"},{"denominator":44,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":44,"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/2507.19461/citation-record","integrity":"/paper/2507.19461/integrity","json":"/paper/2507.19461/citation-record.json","paper":"/paper/2507.19461"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.18655","last_updated":"2024-10-24T11:34:28Z","snapshot_observed_at":"2026-08-12T22:15:59.183702Z","submitted_at":"2024-10-24T11:34:28Z","title":"Approximate EFX and Exact tEFX Allocations for Indivisible Chores: Improved Algorithms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.18655","snapshot_observed_at":"2026-08-15T18:04:22.947264Z","title":"Approximate EFX and exact tEFX allocations for indivisible chores: Improved algorithms, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.947264Z"},"links":{"cited_paper":"/paper/2410.18655","citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:ce2deb4aaa29cfab83f4258f9790b2c714f8009ca0bf5eac89ee14b8c3844354","observation_id":"8f87498d-f5ab-422a-bf4e-c7447e0cca5c","resolution":{"observed_at":"2026-08-15T18:04:22.947264Z","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":"2026-08-15T18:04:23.898224Z","title":"EFX: A simpler approach and an (almost) optimal guarantee via rainbow cycle number","venue":null,"work_id":"65f6fe40-1e08-491b-a0b1-bcb76dee28e4","year":2023},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.952644Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:51ac30e22fbcf15a0ca4ee5f3db7a078d0fd31e770accbcc662b2cf05110260c","observation_id":"d47c69a3-a0c1-4fa5-8e8a-58f35e85fc28","resolution":{"observed_at":"2026-08-15T18:04:23.902970Z","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":"2026-08-15T18:04:23.884774Z","title":"Voudouris, and Xiaowei Wu","venue":null,"work_id":"ee8ecfce-a035-4db7-aa8c-a099243448d2","year":2023},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.957116Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:0bdf41180c6c7cd4707f8d0feb9cc757b7c9337d1a95ae0c8e51f14a410cfc41","observation_id":"060e20b3-387a-4c4b-9948-1e8e94b03be5","resolution":{"observed_at":"2026-08-15T18:04:23.889161Z","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":"2026-08-15T18:04:23.871241Z","title":"Pushing the frontier on approximate EFX allocations","venue":null,"work_id":"e54e11e1-6188-4eed-9a7c-39f12ce50a3b","year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.961740Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:d3ac6fea8ff31dd03efa40362335809e4c9a041fb43296e08d58e3be8adb86a9","observation_id":"2d66f17e-0673-432c-b6f0-d323122324d3","resolution":{"observed_at":"2026-08-15T18:04:23.875446Z","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":"2026-08-15T18:04:23.857589Z","title":"Fair allocation of indivisible goods and chores","venue":null,"work_id":"c3f38377-fb6a-45d5-897e-4e33b66f248b","year":2019},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.966044Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:fa90de334c0bb816a2eeb70166d8ba74ca2718b2d8bbcb855c156ecb0fd218cf","observation_id":"886e6484-5f96-4abd-8ace-7255e8564eed","resolution":{"observed_at":"2026-08-15T18:04:23.862162Z","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":"2026-08-15T18:04:23.843490Z","title":"Algorithmic fair allocation of indivisible items: a survey and new questions","venue":null,"work_id":"17d00f7d-3320-4416-b917-5d31899e6386","year":2022},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.970592Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:ce51c80660495cd4763da057a31cca3de31c68297dfd427957cf9b1d0e6446be","observation_id":"a8b384ce-b497-4301-a4e0-ab0a9f940ad3","resolution":{"observed_at":"2026-08-15T18:04:23.848426Z","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":"2026-08-15T18:04:23.830156Z","title":"Fair allocation of two types of chores","venue":null,"work_id":"71c63084-9ead-4499-b901-da2a0c71fbdb","year":2023},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.975241Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:0a77a890b0db7ad6eefe6d7c838ec26b5af807ea4802a1d86ea7f8fd32d1e1ef","observation_id":"e02ab7d7-235c-46d1-af0a-c79ef80ed722","resolution":{"observed_at":"2026-08-15T18:04:23.834601Z","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":"2026-08-15T18:04:23.816583Z","title":"On the proximity of markets with integral equilibria","venue":null,"work_id":"90b14088-4807-4e3c-a40f-5d51f9df87ad","year":2019},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.979518Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:359f4466208aefe0aa1a87a7092a4f3e9db1ce26beb583eacd408a0277b56ef6","observation_id":"fec78a40-6af5-4462-8d95-b675636b5daf","resolution":{"observed_at":"2026-08-15T18:04:23.821093Z","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":"2026-08-15T18:04:23.801389Z","title":"Finding fair and efficient allocations","venue":null,"work_id":"06bf428a-c75f-470f-a8d1-21fdbc4941ca","year":2018},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.983895Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:62633f52e9b2bb467f99d4c74166612b278195f047fc72a028449529b25320dd","observation_id":"c362cfbb-27d8-421e-9135-1f8ece8121ea","resolution":{"observed_at":"2026-08-15T18:04:23.806271Z","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":"2026-08-15T18:04:23.787524Z","title":"Greedy algorithms for maximizing Nash social welfare","venue":null,"work_id":"228f0ecb-19b8-4c3b-a2cf-0e55e30f4824","year":2018},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.988165Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:d0d6c3019d3d9ccd0453873872e3a9f9256df02ffa1c73c85cb01bb292c29a3b","observation_id":"4d465926-0408-4daa-a398-fce4cbaf285d","resolution":{"observed_at":"2026-08-15T18:04:23.791952Z","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":"2026-08-15T18:04:23.773023Z","title":"Parameterized guarantees for almost envy-free allocations","venue":null,"work_id":"613b560f-5647-483b-b9ea-384d694d79d2","year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.992328Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:e84cfa8ce474fa5f101d72ca3e34813821fcc2b3ef9f972edd3b451492c4748d","observation_id":"247d6a59-ad6f-48a1-8ea5-b0131e06e464","resolution":{"observed_at":"2026-08-15T18:04:23.777946Z","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":"2026-08-15T18:04:23.758306Z","title":"Almost full EFX exists for four agents","venue":null,"work_id":"04283796-c11d-4839-b0f4-51d5f57e44fe","year":2022},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:22.997056Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:d17fcaa2fd01c99191eca72fe28d872722a47fbb6607390761d0be42e57c80de","observation_id":"9cf98916-23e2-44b7-a5c8-29b432dda328","resolution":{"observed_at":"2026-08-15T18:04:23.762992Z","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":"2012.06788","last_updated":"2022-08-27T15:22:02Z","snapshot_observed_at":"2026-08-08T23:02:54.113612Z","submitted_at":"2020-12-12T11:19:00Z","title":"On Approximate Envy-Freeness for Indivisible Chores and Mixed Resources","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.06788","snapshot_observed_at":"2026-08-15T18:04:23.001292Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.001292Z"},"links":{"cited_paper":"/paper/2012.06788","citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:dde8ecc8cf39537c6fbbc4b3056936c4375927fd65999db33a987e011099d2a2","observation_id":"4dac26e1-3567-471d-a079-f020dbf2d984","resolution":{"observed_at":"2026-08-15T18:04:23.001292Z","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":"2026-08-15T18:04:23.744083Z","title":"Procaccia, Nisarg Shah, and Junxing Wang","venue":null,"work_id":"bf1e95b0-84a3-4e52-9fd2-6ce9bbf1c9b6","year":2016},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.006071Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:888b756d23ae2b6aa6bdfa6b4cf8430536a28f8dd6c6064af9784a823156d379","observation_id":"57afb472-9ad7-4066-beca-7e4df21ee8b9","resolution":{"observed_at":"2026-08-15T18:04:23.748587Z","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":"2026-08-15T18:04:23.729381Z","title":"Envy-freeness up to any item with high Nash welfare: The virtue of donating items","venue":null,"work_id":"89e41820-c4c9-4a63-8c01-d925ef5072da","year":2019},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.010265Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:5f55afaa49f97cd5f76f2c23f4a646a6535fe4f944254e05758dcd9883768059","observation_id":"bc403dc2-e66b-43b4-bae2-6fef896887ef","resolution":{"observed_at":"2026-08-15T18:04:23.734429Z","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":"2026-08-15T18:04:23.714317Z","title":"Procaccia, Nisarg Shah, and Junxing Wang","venue":null,"work_id":"d5fca8bd-5114-4672-acd3-b0322e090a94","year":2019},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.014363Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:808036a34ac7688d1b4eee366abe62c0c6db87152b3f3a198f7c9e1737b6eb20","observation_id":"7f8dff04-7724-4809-89cd-daa690a54aeb","resolution":{"observed_at":"2026-08-15T18:04:23.719364Z","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":"2026-08-15T18:04:23.698771Z","title":"A little charity guarantees almost envy-freeness","venue":null,"work_id":"9c98a6e6-f31a-4a5a-8372-8d2978d46d82","year":2020},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.018586Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:1344c953573b38a091e1aec524b5f6fa765281b33820532e2b349c27ecb23186","observation_id":"5b554178-c541-4c17-8ac0-70d1eb720aee","resolution":{"observed_at":"2026-08-15T18:04:23.703591Z","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":"2026-08-15T18:04:23.684403Z","title":"EFX exists for three agents","venue":null,"work_id":"1fa6634c-4dcb-4502-b0c3-6e5d4c408117","year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.022674Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:d526260652a8b9817894b7a890c8d81518a0645c92cdaf3877b1916b6a1d54f6","observation_id":"e03799b2-e0a6-41f7-af2e-8c5292e7d2e4","resolution":{"observed_at":"2026-08-15T18:04:23.689002Z","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":"2026-08-15T18:04:23.026651Z","title":"On the pursuit of efx for chores: non-existence and approximations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.026651Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:7b0ad95df5f1d0097d3e01bcb684c7baa9e1acfee9db126108d7f9affdaf47cf","observation_id":"acbe19b6-7e7b-48f8-a046-c0e2fa22ca41","resolution":{"observed_at":"2026-08-15T18:04:23.026651Z","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":"2026-08-15T18:04:23.669523Z","title":"On the pursuit of EFX for chores: Non-existence and approximations","venue":null,"work_id":"32414817-3f09-4222-b177-3d33781fb71f","year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.031245Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:e26fa3e670fdceedc1e19910a59c56b437b9c379e44449ef5217c72416ffbd13","observation_id":"199662b8-6ce8-4bcf-ac55-6021a863719b","resolution":{"observed_at":"2026-08-15T18:04:23.674301Z","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":"2026-08-15T18:04:23.654680Z","title":"How to fairly allocate easy and dif- ficult chores","venue":null,"work_id":"c1ec29f1-718c-42af-b604-c0dce64a786f","year":2022},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.035537Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:61588f8fccf8759c30b30a128f0e687abd70dea9317a24a8a2f07a932d854053","observation_id":"9e4fcc5e-bd69-4214-9d25-8ca1b8554dac","resolution":{"observed_at":"2026-08-15T18:04:23.659487Z","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":"2026-08-15T18:04:23.640250Z","title":null,"venue":null,"work_id":"0dae4760-74d9-47d2-8c51-ec7c9a04a279","year":1967},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.039833Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:7ce1cb4d2b6b0738876d6d4a87d06fc96a27d08d9a993d758f48e1a13706cb8a","observation_id":"935a7a29-701d-488a-84e4-88e8895d4b88","resolution":{"observed_at":"2026-08-15T18:04:23.644538Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-15T18:04:23.043993Z","title":"Computing fair and efficient allocations with few utility values","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.043993Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:1daf9b32967233035cfe7c865fc617741b766e4008e2663129a81ade79a654be","observation_id":"ef6b4aba-64b3-47be-ba8a-f2c2bd8d6a9b","resolution":{"observed_at":"2026-08-15T18:04:23.043993Z","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":"2026-08-15T18:04:23.616864Z","title":"Computing Pareto-optimal and almost envy-free allocations of indivisible goods","venue":null,"work_id":"bb593688-3712-4040-92c6-993a4dd7f01e","year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.048094Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:50d7c9c55431409dc2d146e19c49921f00553684b168f597251d5147157183b5","observation_id":"0fdcdfc6-5359-41dc-9a8f-d06d5ffbb168","resolution":{"observed_at":"2026-08-15T18:04:23.621686Z","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":"2026-08-15T18:04:23.601898Z","title":"Fair and efficient allocations of chores un- der bivalued preferences","venue":null,"work_id":"7a3265d6-d656-4f41-8571-74b787200f25","year":2022},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.052300Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:0ac1eafc7be83c1b90646a76982be5a5186fb78106c99be1ac95ed143459069e","observation_id":"e99b7edb-bcc4-4330-a098-c5a3415726f0","resolution":{"observed_at":"2026-08-15T18:04:23.606669Z","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":"2026-08-15T18:04:23.588273Z","title":"Satiation in Fisher markets and approximation of Nash social welfare","venue":null,"work_id":"bb51e770-1631-4758-97c7-797a1205d8ae","year":2023},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.056485Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:66f85e2291a471d6efe2553bf2a33ee66527ae667c6b52fb10b2de46b653e89d","observation_id":"27fcc807-dc63-4278-af25-a4c9dc67f276","resolution":{"observed_at":"2026-08-15T18:04:23.592806Z","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":"2026-08-15T18:04:23.572660Z","title":"New algorithms for the fair and efficient alloca- tion of indivisible chores","venue":null,"work_id":"574331d0-2ee9-44a3-a241-3fb4b049a87e","year":2023},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.060622Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:7f3ed682d9482874df0490256520ab05320bad076a726cc9e881b1ae628c421a","observation_id":"24d4acc1-4b9c-49c6-8a0f-ed4fc9ec9039","resolution":{"observed_at":"2026-08-15T18:04:23.577978Z","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":"2026-08-15T18:04:23.558660Z","title":"Weighted EF1 and PO allocations with few types of agents or chores","venue":null,"work_id":"633a8f2e-f24c-4d19-8486-d9d94446919b","year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.065096Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:913f04843c710ecffdd9a6e34c67865d59eae5afaea0419c6b1c756cd2c03c33","observation_id":"2022e146-88c9-4c9e-84e7-038f344f8496","resolution":{"observed_at":"2026-08-15T18:04:23.563246Z","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":"2407.03318","last_updated":"2024-11-22T01:35:28Z","snapshot_observed_at":"2026-08-15T20:46:58.454603Z","submitted_at":"2024-07-03T17:58:22Z","title":"Constant-Factor EFX Exists for Chores","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.03318","snapshot_observed_at":"2026-08-15T18:04:23.069256Z","title":"Constant-factor efx exists for chores, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.069256Z"},"links":{"cited_paper":"/paper/2407.03318","citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:6080809cd0fcde9fc118d2b2521156f4130b65179636dc9bd39bf605866c69a9","observation_id":"4f1f8255-b66e-4644-b615-d83444126c8f","resolution":{"observed_at":"2026-08-15T18:04:23.069256Z","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":"2026-08-15T18:04:23.074389Z","title":"Constant-factor EFX exists for chores","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.074389Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:c2a5f92d5a10f16a966fecf515499ffa5a17e91f5b8f8383e6c4dce5dcd165e6","observation_id":"ffa64dbe-f056-4824-baef-d8c49051adcb","resolution":{"observed_at":"2026-08-15T18:04:23.074389Z","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":"2026-08-15T18:04:23.544530Z","title":"Fair allocation of a multiset of indivisible items","venue":null,"work_id":"676aeab1-b09f-45bc-9e88-09f621410347","year":2022},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.079803Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:3cc848255b6c2fbed4bc1db1294c77fadb5ef0580062d741767bd4918da89019","observation_id":"78b5e55a-4a67-467b-acbc-25115e1bf046","resolution":{"observed_at":"2026-08-15T18:04:23.549271Z","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":"2026-08-15T18:04:23.530455Z","title":"EFX allocations for indivisible chores: Matching-based approach","venue":null,"work_id":"e655fcfd-07b9-4734-9cfa-c6e4b2f33f9e","year":2023},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.084535Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:afdeba097f988eb0cea849351706fbd03612d9d61d777b294123283f63f66e6d","observation_id":"c2836ce2-6045-4be7-833c-5d432fe6ce72","resolution":{"observed_at":"2026-08-15T18:04:23.534867Z","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":"2026-08-15T18:04:23.516726Z","title":"APX-hardness of maximizing Nash social welfare with indivisible items","venue":null,"work_id":"19f3f65f-32d3-47e2-bd2d-b16905eac6e5","year":2015},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.088451Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:9dd3b2c0db926a39c2bd7250e8e7676fbf40d1ae4c1c8f9b785ea6b8700443b2","observation_id":"65df772d-a067-43ab-84d8-90fffc3b9e2b","resolution":{"observed_at":"2026-08-15T18:04:23.521143Z","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":"2026-08-15T18:04:23.502110Z","title":"Almost (weighted) proportional allocations for indivisible chores","venue":null,"work_id":"7a720fd4-ffcc-47c3-9d71-1059768c5c1a","year":2022},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.092439Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:674221804bc340a28cf67af9d81d3f30ed56eae927d9a2a707c9f310e908400a","observation_id":"d2f0681e-7c2b-4ca4-9b8d-c3a96f1fad55","resolution":{"observed_at":"2026-08-15T18:04:23.507238Z","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":"2501.04550","last_updated":"2025-01-08T14:57:07Z","snapshot_observed_at":"2026-08-15T04:11:26.629717Z","submitted_at":"2025-01-08T14:57:07Z","title":"Approximately EFX and PO Allocations for Bivalued Chores","version":1},"cited_work":{"arxiv_id":"2501.04550","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.04550","snapshot_observed_at":"2026-08-15T18:04:23.289524Z","title":"Approximately EFX and PO Allocations for Bivalued Chores","venue":"cs.GT","work_id":"2b238d0c-6054-4b08-af61-9f4444c8a14b","year":2025},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.096375Z"},"links":{"cited_paper":"/paper/2501.04550","citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:44d156fa90abd4ffec58c3038f61a376f589bd4f0f805e1a3e5e74bf9cd7046c","observation_id":"4e01ed22-218c-49c8-a8cd-0193b469942b","resolution":{"observed_at":"2026-08-15T18:04:23.294325Z","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":"2026-08-15T18:04:23.487416Z","title":"Mixed fair division: A survey","venue":null,"work_id":"d1e485e7-b969-481d-b934-eec6a4118213","year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.101023Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:d9eed692b95567fee3f03b250602017d0287eb0ee40328aae37fadfcd8a023cd","observation_id":"8e4b8cda-ea49-4073-b82b-ce9e9a4ba798","resolution":{"observed_at":"2026-08-15T18:04:23.492234Z","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":"2026-08-15T18:04:23.472263Z","title":"Extension of additive valuations to general valuations on the existence of EFX","venue":null,"work_id":"cd27cb55-e478-4415-b6dc-ac99acdeae7f","year":2021},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.105277Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:40a05893408a513a53a46e25f41b5bf1b095b1123e9a4d282f30a19cc94a129a","observation_id":"bfcc25e6-0d48-4bd2-af49-b9667c8f609d","resolution":{"observed_at":"2026-08-15T18:04:23.476955Z","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":"2411.01810","last_updated":"2024-11-04T05:28:53Z","snapshot_observed_at":"2026-08-12T22:08:35.696749Z","submitted_at":"2024-11-04T05:28:53Z","title":"A Polynomial-Time Algorithm for Fair and Efficient Allocation with a Fixed Number of Agents","version":1},"cited_work":{"arxiv_id":"2411.01810","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.01810","snapshot_observed_at":"2026-08-15T18:04:23.267800Z","title":"A Polynomial-Time Algorithm for Fair and Efficient Allocation with a Fixed Number of Agents","venue":"cs.GT","work_id":"dfe0299d-fea3-46ae-b343-59510ca4fc9e","year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.109430Z"},"links":{"cited_paper":"/paper/2411.01810","citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:a63b97c57ae5808e3312f5774749e8aac69a919b3f5d1f300ebc472bb7b6b834","observation_id":"596dece9-9760-43f4-a28d-2f2aba5900bf","resolution":{"observed_at":"2026-08-15T18:04:23.274458Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:04:23.113961Z","title":"Existence of fair and efficient allocation of indivisible chores, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.113961Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:d903660ebc2d24ab4f1749e703d262d77654a5a07752a5ce2d0596b757642872","observation_id":"c561d51a-4891-4125-a333-0860791fc632","resolution":{"observed_at":"2026-08-15T18:04:23.113961Z","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":"2026-08-15T18:04:23.458003Z","title":"Mas-Colell, M.D","venue":null,"work_id":"c2adc515-2a8e-4084-aba5-2395150152d8","year":1995},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.117992Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:30a3dcf06b19ae995b6662ce9f0e8750124ac68de071c61b4e63c0b374e2d5de","observation_id":"993c927c-6dcc-43e2-ba99-17c6d694f926","resolution":{"observed_at":"2026-08-15T18:04:23.462469Z","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":"2026-08-15T18:04:23.444053Z","title":"Almost envy-freeness with general valuations","venue":null,"work_id":"3858639a-1a34-487f-80b4-ea1b2b919092","year":2020},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.122047Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:83bf8a43a152ea0203b4e3930b6aef850aace63e19987e076335d4ccc3f0bd7d","observation_id":"052d8dcf-34d6-4265-a509-0771c9dd62b5","resolution":{"observed_at":"2026-08-15T18:04:23.448389Z","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":"2026-08-15T18:04:23.429378Z","title":"Procaccia","venue":null,"work_id":"5e1becc7-a1a0-46fe-a7ac-bb0558379c4c","year":2020},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.126073Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:db5b80d14d27e1728f7678fb98e5802e2a30394f91fbbb034d9d0b9fb7d65dd3","observation_id":"2abacccd-b94f-4aad-b854-12f1ef2c334e","resolution":{"observed_at":"2026-08-15T18:04:23.434324Z","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":"2026-08-12T22:20:56.036833Z","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":"2026-08-15T18:04:23.130101Z","title":"V., Pratik Ghosal, Prajakta Nimbhorkar, and Nithin Varma","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.130101Z"},"links":{"cited_paper":"/paper/2410.13580","citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:067e49fc852d7a90fb3ceb6eee4333e69bc70177f26d4a425f4c6e41798e0f10","observation_id":"13a60e44-876f-4009-aec8-40814653011d","resolution":{"observed_at":"2026-08-15T18:04:23.130101Z","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":"2026-08-15T18:04:23.414908Z","title":"Approximately EFX allocations for indivisible chores","venue":null,"work_id":"7b2ca1e5-5f29-401c-baa2-978cffd95ab3","year":2024},"citing_paper":{"arxiv_id":"2507.19461","last_updated":"2025-07-25T17:46:04Z","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T18:04:23.134448Z"},"links":{"citing_paper":"/paper/2507.19461"},"observation_digest":"sha256:dcc9e08d96b03e91924024ad96c18d3072eee8552db41d01d35463118072d3b2","observation_id":"0881ddd6-0c78-4ec5-ae84-a556b18f0a1b","resolution":{"observed_at":"2026-08-15T18:04:23.419535Z","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":"2507.19461","last_updated":"2025-07-25T17:46:04Z","latest_version":1,"primary_category":"cs.GT","snapshot_observed_at":"2026-08-15T20:56:41.809466Z","submitted_at":"2025-07-25T17:46:04Z","title":"Existence of 2-EFX Allocations of Chores"},"reference_resolution":{"displayed":44,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":2,"verified_fuzzy":33},"total_outbound_references":44},"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 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2507.19461."}