{"as_of":"2026-08-08T09:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:567610f165feee6b839e517556228510cbd2375a66aebd54697ca13869225692","coverage":[{"denominator":48,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":48,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T22:58:50.276998Z","state":"measured"},{"denominator":48,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":48,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2607.15613/citation-record","integrity":"/paper/2607.15613/integrity","json":"/paper/2607.15613/citation-record.json","paper":"/paper/2607.15613"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T22:58:44.711244Z","title":"Randomized and deterministic maximin-share approximations for fractionally subadditive valuations","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:44.711244Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:8dc6013d45110aff5775cd1f48d3c8c1bfa46a21ace8d38e37f23dab3fd4e632","observation_id":"52512e1e-f775-46c9-9557-aaa0e5acce87","resolution":{"observed_at":"2026-08-01T22:58:44.711244Z","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":"2026-08-01T22:58:44.756756Z","title":"An improved envy-free cake cutting protocol for four agents","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:44.756756Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:4474282ff4540093c73d40b452225f0291502e704fdc9c0d0428c378ef5e8592","observation_id":"cf10b3a7-850a-4e61-8112-860ae36fe2f4","resolution":{"observed_at":"2026-08-01T22:58:44.756756Z","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":"2026-08-01T22:58:44.849851Z","title":"Voudouris, and Xiaowei Wu","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:44.849851Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:90b541e9b073ed51bed1a89fb993ac2776aefe5664608117575872ea0659fe2b","observation_id":"586aa689-dcdb-4fa6-8fd2-961c941341e4","resolution":{"observed_at":"2026-08-01T22:58:44.849851Z","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":"2026-08-01T22:58:44.907600Z","title":"A discrete and bounded envy-free cake cutting protocol for four agents","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:44.907600Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:2ae87dc438be193503a555d0ac973e311ecdb45cadd9fe6e9046254b39f2f676","observation_id":"a85bc6f9-dd39-4647-a1a3-2b5ac4e34e0b","resolution":{"observed_at":"2026-08-01T22:58:44.907600Z","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":"2026-08-01T22:58:44.966504Z","title":"A discrete and bounded envy-free cake cutting protocol for any number of agents","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:44.966504Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:144c981d67427340160c0e93c68be259ed5f5dd7c057a5467868ebb8c2c2c421","observation_id":"66a1becf-cccd-411f-958c-cce309ccb861","resolution":{"observed_at":"2026-08-01T22:58:44.966504Z","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":"2026-08-01T22:58:45.043883Z","title":"Fair allocation of divisible goods under non-linear valuations","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:45.043883Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:ad026664f412dfd9c9ca0a91953893aaf78b224f214275b870e85eda868b5618","observation_id":"5f90a5ac-d273-49ce-93bf-41a3f096663b","resolution":{"observed_at":"2026-08-01T22:58:45.043883Z","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":"2026-08-01T22:58:45.196811Z","title":"Optimal proportional cake cutting with connected pieces","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:45.196811Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:9825dc3ec8bcee7f85f5e66399c58162db1f679e732bcebbff2c2cf6adac0da8","observation_id":"0dbefbf8-8061-48d7-8171-e3308e862d17","resolution":{"observed_at":"2026-08-01T22:58:45.196811Z","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":"2026-08-01T22:58:45.354947Z","title":"Fair division of mixed divisible and indivisible goods","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:45.354947Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:d4dc75b773ed68dfce3613355f72e8cb618edb04c023ebe61a38b6b3a05f6ca1","observation_id":"aa44378d-256e-452c-aa6f-50ba5aa63d62","resolution":{"observed_at":"2026-08-01T22:58:45.354947Z","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":"2026-08-01T22:58:45.541604Z","title":"Maximin fairness with mixed divisible and indivisible goods","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:45.541604Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:fbfd04dbe0a80531597760262521ae11a168039ac8828d26b3d7ac269b097dc9","observation_id":"00f58cfc-04f2-450b-8cee-5e56f5bf6d57","resolution":{"observed_at":"2026-08-01T22:58:45.541604Z","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":"2026-08-01T22:58:45.719027Z","title":"Fair division with subjective divisibility","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:45.719027Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:3fe7900915de283f9ea041580f3e67e0d7d5c311a488098439d0eba628ad4b67","observation_id":"9d323850-e229-46b4-9c9d-cb4b338a2f44","resolution":{"observed_at":"2026-08-01T22:58:45.719027Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.13057","last_updated":"2026-06-11T08:40:42Z","snapshot_observed_at":"2026-08-07T02:27:09.223835Z","submitted_at":"2026-06-11T08:40:42Z","title":"Approximate Maximin Share with Subjective Divisibility: Beating the 1/2 Barrier","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.13057","snapshot_observed_at":"2026-08-01T22:58:45.929742Z","title":"Approximate maximin share with subjective divisibility: Beating the 1/2 barrier","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:45.929742Z"},"links":{"cited_paper":"/paper/2606.13057","citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:2c1c5278fd37b2c401e259490f07ce333c675be88e9172f1a7d0f6548460166a","observation_id":"5fab86e4-c2bd-4ce1-826c-c237863ca70f","resolution":{"observed_at":"2026-08-01T22:58:45.929742Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.12444","last_updated":"2023-03-22T10:28:01Z","snapshot_observed_at":"2026-08-07T16:07:10.355949Z","submitted_at":"2023-03-22T10:28:01Z","title":"On Fair Allocation of Indivisible Goods to Submodular Agents","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.12444","snapshot_observed_at":"2026-08-01T22:58:46.076084Z","title":"On fair allocation of indivisible goods to submodular agents","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:46.076084Z"},"links":{"cited_paper":"/paper/2303.12444","citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:5d03e2c3ef89f33e8cd65dc69f068ec7018cbc6ba9dc62134f9fb86fb3025249","observation_id":"e02c1105-b27b-4d20-9333-edd45849822a","resolution":{"observed_at":"2026-08-01T22:58:46.076084Z","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":"2026-08-01T22:58:46.259419Z","title":"Almost full EFX exists for four agents","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:46.259419Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:cfc905d6c62b8151437cb87d9ee86dad1bd32996475c32741555552a3cc300c8","observation_id":"fc96a532-9991-442c-aa78-db42c5c23d2f","resolution":{"observed_at":"2026-08-01T22:58:46.259419Z","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":"2026-08-01T22:58:46.377157Z","title":"Brams and Peter C","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:46.377157Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:3d5e803a50dbc3970cc581e76989876af986044cb08d35acc64b19976d0c3eaa","observation_id":"3ba64b60-c340-4a5c-b4ba-051a54e3da0b","resolution":{"observed_at":"2026-08-01T22:58:46.377157Z","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":"2026-08-01T22:58:46.491181Z","title":"Brams and Alan D","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:46.491181Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:9d447b32e52aa119c511ca1665be207ee8fd544c3b952cab2a0abab6463c05fc","observation_id":"a22c5667-6fee-424a-b0cb-ad2b8d617640","resolution":{"observed_at":"2026-08-01T22:58:46.491181Z","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":"2026-08-01T22:58:46.642407Z","title":"Brams, Michal Feldman, John K","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:46.642407Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:ba985293c05d941198ba46a5e4972cb006e06113d51142662e0445aa35d8ac38","observation_id":"d46764d2-6e1d-41a0-bbba-8585544c17ba","resolution":{"observed_at":"2026-08-01T22:58:46.642407Z","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":"2026-08-01T22:58:46.737888Z","title":"Brams, Marc Kilgour, and Christian Klamler","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:46.737888Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:369c257d8081af3e1b026c6b5b51a06bcfb4fd200e7bfd1e8bb60b6e94203327","observation_id":"c36826ec-6846-4738-b82f-210063bb10bd","resolution":{"observed_at":"2026-08-01T22:58:46.737888Z","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":"2026-08-01T22:58:46.808294Z","title":"The combinatorial assignment problem: Approximate competitive equilibrium from equal incomes","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:46.808294Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:e4a1316493c0f146e764284fd82d83d91475d9ff2248205668067cc172cfac0b","observation_id":"6891a92b-64d5-4a96-bacf-204ffa8590eb","resolution":{"observed_at":"2026-08-01T22:58:46.808294Z","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":"2026-08-01T22:58:46.907099Z","title":"Gerding, and Baharak Rastegari","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:46.907099Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:4852aa32c4c1eca1f82b621206a46ed43f55aa62a6fae2971472d8a1c25832c6","observation_id":"c4543cc9-60ea-4948-8e78-7672781b181c","resolution":{"observed_at":"2026-08-01T22:58:46.907099Z","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":"2026-08-01T22:58:46.964928Z","title":"Procaccia, Nisarg Shah, and Junxing Wang","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:46.964928Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:3be238913c3e049fdd8eb2624521091f81d80cf48f26b16c7a7df991476b82da","observation_id":"f86b9504-d10a-4c8d-b180-e0bf049b8345","resolution":{"observed_at":"2026-08-01T22:58:46.964928Z","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":"2026-08-01T22:58:47.136813Z","title":"Beyond cake cutting: Allocating homogeneous divisible goods","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:47.136813Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:c22e0a516fa72983088c6cd2d6ed43cf2cc121404700c3998235b4a7d77d4cd9","observation_id":"6e780a12-26ba-4ead-b683-e72e87e2e97e","resolution":{"observed_at":"2026-08-01T22:58:47.136813Z","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":"2026-08-01T22:58:47.367387Z","title":"EFX exists for three agents","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:47.367387Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:0d3cb2aa87bb7460c0d150b4baf30924b0e60ad6ead3771eec4717068d02b5ef","observation_id":"63cebeed-abe0-49c5-b95c-48b09f142a24","resolution":{"observed_at":"2026-08-01T22:58:47.367387Z","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":"2026-08-01T22:58:47.490390Z","title":"1/2 -approximate MMS allocation for separable piecewise linear concave valuations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:47.490390Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:cf610f36e0234f694ec67da1309db5368c58030b324eb2850aad7d600f8c2f26","observation_id":"53f038b2-50ce-4128-9c80-2ff999a2228e","resolution":{"observed_at":"2026-08-01T22:58:47.490390Z","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":"2026-08-01T22:58:47.705443Z","title":"Cohler, John K","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:47.705443Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:82d83121886434c2e4501e38fbc8da2414f80819d5d5496236760ade5e2b0dff","observation_id":"413f693d-221d-4d86-b26e-f9dee588549f","resolution":{"observed_at":"2026-08-01T22:58:47.705443Z","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":"2026-08-01T22:58:47.852445Z","title":"On the complexity of efficiency and envy-freeness in fair division of indivisible goods with additive preferences","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:47.852445Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:23defe6618ff57fc146e398817f6b6bb912ccdcab3aecd887ede9b0b3afa8c53","observation_id":"99e69ce7-f3d9-497e-9f54-358cbffcafa7","resolution":{"observed_at":"2026-08-01T22:58:47.852445Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.13541","last_updated":"2025-02-19T08:49:57Z","snapshot_observed_at":"2026-08-07T18:06:13.527133Z","submitted_at":"2025-02-19T08:49:57Z","title":"Concentration and maximin fair allocations for subadditive valuations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.13541","snapshot_observed_at":"2026-08-01T22:58:47.926861Z","title":"Concentration and maximin fair allocations for subadditive valuations","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:47.926861Z"},"links":{"cited_paper":"/paper/2502.13541","citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:b8e3763b22cce9c00e57922468ba423b40e3cb79db633ea424f5abdeb15a9518","observation_id":"9ad99661-a80c-45f7-b180-5e82b0d92d45","resolution":{"observed_at":"2026-08-01T22:58:47.926861Z","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":"2026-08-01T22:58:47.991206Z","title":"On fair division of a homogeneous good","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:47.991206Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:6fe864e064ed6ff6ceb8b407521723cf7c5b33b8fa87a961787aaf1c48cf43f5","observation_id":"d94ebae1-84d2-4a6c-b754-35e6bf6b164f","resolution":{"observed_at":"2026-08-01T22:58:47.991206Z","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":"2026-08-01T22:58:48.060021Z","title":"A tight negative example for MMS fair allocations","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.060021Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:08a9b35252b0fd7d5cfca99d5b3d3ffb94ead03e3b418726e78a193fc16a7b99","observation_id":"20bfb189-6782-45cf-91c1-91f32b9e5553","resolution":{"observed_at":"2026-08-01T22:58:48.060021Z","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":"2026-08-01T22:58:48.209778Z","title":"Resource allocation and the public sector","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.209778Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:df3ece30f3afaf9071fd7047ffa6d1a69553f04d6803897fb7fdb9aa30648d95","observation_id":"292a2b2a-d66e-47ce-a388-7d046b674d56","resolution":{"observed_at":"2026-08-01T22:58:48.209778Z","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":"2026-08-01T22:58:48.309420Z","title":"Garey and David S","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.309420Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:dab96b1a77e98e6f2948673d215d5dc8f3a55371575e9ff5fe493fa5b5d1ba80","observation_id":"ebaf40b4-15ec-4535-b0ad-4ba29f09dc50","resolution":{"observed_at":"2026-08-01T22:58:48.309420Z","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":"2026-08-01T22:58:48.413554Z","title":"Dominant resource fairness: Fair allocation of multiple resource types","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.413554Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:86b77c95c7cccc5ed136fe95357ea7f336cc4bc260194fd361ebef1c53d5fa26","observation_id":"2f91edf8-eff9-4f4d-9bac-9bb9b3ee3185","resolution":{"observed_at":"2026-08-01T22:58:48.413554Z","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":"2026-08-01T22:58:48.488897Z","title":"Fair allocation of indivisible goods: Beyond additive valuations","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.488897Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:41e20deca927d2fb4b0900bfa28079a90109efc87005f56c68a88254556f2432","observation_id":"a58a315c-329b-4c80-acd0-d96c7eca5876","resolution":{"observed_at":"2026-08-01T22:58:48.488897Z","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":"2026-08-01T22:58:48.568757Z","title":"Envy-free cake-cutting for four agents","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.568757Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:4d889b6817511ed2a0b5d1590a7a6334c9e9f2fee70947f6c98ff999aa4651e2","observation_id":"d68bc93a-bbfc-4fa4-9c1b-e07a40accd9b","resolution":{"observed_at":"2026-08-01T22:58:48.568757Z","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":"2026-08-01T22:58:48.671998Z","title":"An FPTAS for 7/9 to maximin share allocations","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.671998Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:4f2f6fd5568bdf65b4827afd41cb341187c83a18c78d28dd971490527e40ca16","observation_id":"0953d28c-bc73-44c2-9c5f-e2d830465009","resolution":{"observed_at":"2026-08-01T22:58:48.671998Z","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":"2026-08-01T22:58:48.753021Z","title":"Marc Kilgour and Rudolf Vetschera","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.753021Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:2ad96f43fab9ed0234e041457c89c1edfb08780f049e0c7a220cbc53a87a281a","observation_id":"a48a8c4f-bad0-4625-94fb-578d754e86fa","resolution":{"observed_at":"2026-08-01T22:58:48.753021Z","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":"2026-08-01T22:58:48.806224Z","title":"Procaccia, and Junxing Wang","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.806224Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:813295f0fe22f1e70356d394e64dc858571f210537db80729a95f28e33fe43b6","observation_id":"53cc0d7c-fa9e-4633-a29e-1e2a2694aafc","resolution":{"observed_at":"2026-08-01T22:58:48.806224Z","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":"2026-08-01T22:58:48.962650Z","title":"o rg Rothe. Cake-cutting: Fair division of divisible goods. In J\\","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:48.962650Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:8bdb10e055b3a675a7030ebac495bb4ad53029c922c9dd2b69fbd3a38c4add70","observation_id":"b7ecf8ce-9c92-4ef2-be3b-fec8c8973588","resolution":{"observed_at":"2026-08-01T22:58:48.962650Z","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":"2026-08-01T22:58:49.134050Z","title":"Mixed fair division: A survey","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:49.134050Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:be4a07932db74c17bedd1f05207a72ea669d0b514525644138a50761cf82a000","observation_id":"c1cc6e64-35fa-4e5d-b4e5-9b6a9f3dde66","resolution":{"observed_at":"2026-08-01T22:58:49.134050Z","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":"2026-08-01T22:58:49.240792Z","title":"Complexity results and exact algorithms for fair division of indivisible items: A survey","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:49.240792Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:d52eeb0d279768bd61e7fdec7d35d38aef06930f9de9b98be0729bba06dcf3c2","observation_id":"c97eb244-5dd5-495c-adc1-fc179451d923","resolution":{"observed_at":"2026-08-01T22:58:49.240792Z","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":"2026-08-01T22:58:49.316630Z","title":"Envy-freeness and maximum N ash welfare for mixed divisible and indivisible goods","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:49.316630Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:8bf90b19d965eb5f1793beaca8a8c164c27c1a1eabdc3e42d3371de00cae75ac","observation_id":"ffa7dd61-b81d-425f-8443-909df6aa4b1f","resolution":{"observed_at":"2026-08-01T22:58:49.316630Z","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":"2026-08-01T22:58:49.363540Z","title":"Parkes, Ariel D","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:49.363540Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:e6e289d9187c3ff8b169002ab020d48424a893b3964c6b0a9f503c99653b5569","observation_id":"c8cb5ccc-bf09-4431-956a-4e60d722bb96","resolution":{"observed_at":"2026-08-01T22:58:49.363540Z","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":"2026-08-01T22:58:49.466964Z","title":"Procaccia","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:49.466964Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:0b4609e86b9eece5922d5fef5d29c6eba695de8b75d4738891b0cfe1f29e36a8","observation_id":"354d40fb-1363-4355-96ef-b8e2a3b9e731","resolution":{"observed_at":"2026-08-01T22:58:49.466964Z","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":"2026-08-01T22:58:49.532613Z","title":"Reijnierse and Jos A","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:49.532613Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:953bb7f04a44acc2ce0fe2fce926a1fcb8c7ba4e6d4ce5316d572031de286bf2","observation_id":"4832ab75-6188-453f-b285-11b5f9b187aa","resolution":{"observed_at":"2026-08-01T22:58:49.532613Z","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":"2026-08-01T22:58:49.639556Z","title":"Cake-Cutting Algorithm: Be Fair If You Can","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:49.639556Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:3e633f6a825db88a0bd35a7230edb5c44a7de8d886db1d5765f7330e13e95976","observation_id":"b2f95c2e-2a4e-4241-80ac-cc6db574a1b3","resolution":{"observed_at":"2026-08-01T22:58:49.639556Z","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":"2026-08-01T22:58:49.758705Z","title":"Sur la division pragmatique","venue":null,"work_id":null,"year":1949},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:49.758705Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:c5d0e9b054eea7743273e19916483ada671f664ca7ca1669b7c92ad3f7131e53","observation_id":"fb87f388-e547-4afa-ae40-010adca63d9c","resolution":{"observed_at":"2026-08-01T22:58:49.758705Z","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":"2026-08-01T22:58:49.916592Z","title":"Rental harmony: S perner's lemma in fair division","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:49.916592Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:dfd12c30f9fed5dfdc4020685bd9523def96f84a77e8d814ac581311d0574f94","observation_id":"be2bc751-b259-4a23-b35f-83a75138f436","resolution":{"observed_at":"2026-08-01T22:58:49.916592Z","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":"2026-08-01T22:58:50.147833Z","title":"Constraints in fair division","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:50.147833Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:e4758032a05731173913442ac1cf739b0be5b3175cb9c5db44a43fe1936989cf","observation_id":"a3bdee1e-2a91-41e5-8217-9e1ff0544249","resolution":{"observed_at":"2026-08-01T22:58:50.147833Z","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":"2026-08-01T22:58:50.276998Z","title":"Weighted fair division of indivisible items: A review","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-01T22:58:50.276998Z"},"links":{"citing_paper":"/paper/2607.15613"},"observation_digest":"sha256:4f78b6b26af43357e82261423d6c70aee9d9df71696a08e4c2e26dba29ebbd12","observation_id":"41e9f656-c0eb-4615-be2d-8007f34ef07a","resolution":{"observed_at":"2026-08-01T22:58:50.276998Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.15613","last_updated":"2026-07-17T04:23:13Z","latest_version":1,"primary_category":"cs.GT","snapshot_observed_at":"2026-08-01T22:58:43.223471Z","submitted_at":"2026-07-17T04:23:13Z","title":"Fair Allocation of Divisible Goods under Non-Linear Valuations"},"reference_resolution":{"displayed":48,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":48,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":48},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2607.15613."}