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Paper Citation Record · LEDGER

DistrictNet: Decision-aware learning for geographical districting

As of 20 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2412.08287.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.08287 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:08:31.682555Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved6
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3755ab03-734e-4562-9201-735435c45ed7 · outbound

This paper cites Learning with Combinatorial Optimization Layers: a Probabilistic Approach.

DistrictNet: Decision-aware learning for geographical districting Learning with Combinatorial Optimization Layers: a Probabilistic Approach

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T18:08:31.545930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:08:31.545930Z digest=sha256:00898173f842421c017f5e6a50ad84892a1635559073a89ef066ace40f368448

Observation 2f3433b2-6cf0-449e-94b6-ff3c1e8b4ec8 · outbound

This paper cites An Efficient Graph Convolutional Network Technique for the Travelling Salesman Problem.

DistrictNet: Decision-aware learning for geographical districting An Efficient Graph Convolutional Network Technique for the Travelling Salesman Problem

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T18:08:31.550570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:08:31.550570Z digest=sha256:2fb1fa730ede47a6ee944d1b73cf92cdc2a02b0e52bf4cc4829a76d24ddabdc4

Observation 8717171e-426f-441c-9a10-97c526a579e4 · outbound

This paper cites The lowest cost is shown in blue and the second-best in orange.

DistrictNet: Decision-aware learning for geographical districting The lowest cost is shown in blue and the second-best in orange

Reference 5

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T18:08:31.972776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T18:08:31.682555Z digest=sha256:85bea4ab423f0aec19089ea75a9a1ba448f4ef8bd9a2c5563288989e92eb6f27

Observation c6523607-2b1d-4a8b-aac9-6fc9e8517766 · outbound

This paper cites This probability is typically very low.

DistrictNet: Decision-aware learning for geographical districting This probability is typically very low

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:08:32.556579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T18:08:31.564013Z digest=sha256:ac04d0f9ae7c9a17c9b68f25b45ac7ba8acb9fefeb490b4b0e20e7bb58efa5db

Observation bd9530b6-ad6c-40ef-9cb3-5743184c1fd8 · outbound

This paper cites This procedure allows us to create a training set of arbitrary size that contains realistic (but small-sized) training instances.

DistrictNet: Decision-aware learning for geographical districting This procedure allows us to create a training set of arbitrary size that contains realistic (but small-sized) training instances

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:08:32.118105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T18:08:31.678115Z digest=sha256:244668821048040c56f1082533272b3649ec3bd6d94dfa4f7e040092e167e343

Observation d55a1d7a-f166-4de9-866d-a58041b12090 · outbound

This paper cites an unresolved cited work.

DistrictNet: Decision-aware learning for geographical districting Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:08:32.374439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T18:08:31.660314Z digest=sha256:76b2ecdb4b6f373e92786f66a0015546643d114e4b380128126491b613961a02

Observation 8a20e1a9-03ca-453e-835f-a8f4d2847b4c · outbound

This paper cites First, the GNN applies a message-passing algorithm to capture the structure of the graph.

DistrictNet: Decision-aware learning for geographical districting First, the GNN applies a message-passing algorithm to capture the structure of the graph

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:08:32.358475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T18:08:31.665168Z digest=sha256:4e8a989dc202dd5a40471217090fb0c86d41452038791038ab47d016a76992a1

Observation 7e14c064-53f3-47a5-a082-3489566596bd · outbound

This paper cites It shows that, while the area and density may vary across cities, the population statistics are relatively constant.

DistrictNet: Decision-aware learning for geographical districting It shows that, while the area and density may vary across cities, the population statistics are relatively constant

Reference 12

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T18:08:32.133672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T18:08:31.674042Z digest=sha256:aef0a0708beaf98e4c5d952b230b6c43d0099e8c1975e36949e1caba6813d2c2

Observation a7a7855c-3dfd-4c65-8d04-7f3fc6764238 · outbound

This paper cites Finally, the final layer converts the latent32-dimension vector into a one-dimensional output.

DistrictNet: Decision-aware learning for geographical districting Finally, the final layer converts the latent32-dimension vector into a one-dimensional output

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:08:32.257679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T18:08:31.669406Z digest=sha256:956f448243a1c79a36a2f52c3800f40dd5de9d5aac24fcf4ef57651eb5e51979

Observation 6e89bf00-a858-48a9-9247-c7917c6df8a0 · outbound

This paper cites Neural Combinatorial Optimization with Reinforcement Learning.

DistrictNet: Decision-aware learning for geographical districting Neural Combinatorial Optimization with Reinforcement Learning

Reference 1959

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unresolved
no resolver link, observed 2026-08-11T18:08:31.541407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:08:31.541407Z digest=sha256:a98911b10660f462a8dd8a6dcab3cbaac7223de545a51cfed382d5a291b96494

Observation 0442b764-75a4-46fe-a6b5-e337a37de94c · outbound

This paper cites (2024) does not scale well to large instances.

DistrictNet: Decision-aware learning for geographical districting (2024) does not scale well to large instances

Reference 1985

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:08:32.546679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T18:08:31.605944Z digest=sha256:b8f7f7926eec2fc5eda46e4c6df699373a3c3c278c8479295140f618e3c2b37c

Observation f3ae14b5-0b2c-490e-9338-66ae3089f316 · outbound

This paper cites Sadana, A.

DistrictNet: Decision-aware learning for geographical districting Sadana, A

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-11T18:08:31.560591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:08:31.560591Z digest=sha256:498a6c06c2213fdc081bb95b794550090fa0650504661393f4dbcd39ea7fb1b0

Observation cd1b8ae4-c449-49a2-a93d-0007a3d4fe3d · outbound

This paper cites Generalization Bounds of Surrogate Policies for Combinatorial Optimization Problems.

DistrictNet: Decision-aware learning for geographical districting Generalization Bounds of Surrogate Policies for Combinatorial Optimization Problems

Reference 2017

Resolution
verified exact
local_arxiv, observed 2026-08-11T18:08:31.925887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T18:08:31.537741Z digest=sha256:8aaf6353bd830f6724cee0508ae18bf1da3d8d61659223750f5ff7b5944ec99f

Observation 2ec4ac03-c2ad-4363-beba-bfd5807ed072 · outbound

This paper cites Decision-Focused Learning: Foundations, State of the Art, Benchmark and Future Opportunities.

DistrictNet: Decision-aware learning for geographical districting Decision-Focused Learning: Foundations, State of the Art, Benchmark and Future Opportunities

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-11T18:08:31.556771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:08:31.556771Z digest=sha256:c1ec5253849d936f187a106d2e00285350b6d4b9ff80b078aa3696eee2d0a47f

Pith citing papers

No inbound Pith citation observations are available.