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Paper Citation Record · LEDGER

DistrictNet: Decision-aware learning for geographical districting

As of 12 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 2026-08-12T06:34:41.77262+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:d932eb5dcab8de2954b6ff7db70b4ccc53dce0c45b4e667ff378630316e27b9e

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=sha256:481c977fa6b61eda3555fbf6fa5aab25921deaec4c042329c3386dc71050ae20

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:08:31.682555Z digest=sha256:64af04bccb18e4edb3a6589b544616bd0e2068ac50bca8df8a5e9c7f05ebcbe1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:08:31.564013Z digest=sha256:2382f185ab80f2202b6b567c7fefc3c4872789892b761e37ad47eed99365001b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:08:31.678115Z digest=sha256:9998fd8153cd5e2092030352e188be6cc611180ab37ec2b29e4f447f7d9c5838

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:08:31.660314Z digest=sha256:64d373d476823c2a0406ccbd1424e174f93af93d6622cb1b3501ec9f6bfd60c9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:08:31.665168Z digest=sha256:4be4f917a1fe60b6e5057f3e9d0c8b80a566fc7482bc7d78d1ee30978a8c3ac5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:08:31.674042Z digest=sha256:ba5f252d36dcda2211b9e0d35abf22ce820e0bdc4e10874904c478d5fc431645

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:08:31.669406Z digest=sha256:dbacfdf6bb07ae27ccf271afe044fb2c05ff22f3e459cf53f92ac09783c7344d

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

Resolution
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:c873a7a00d1d9d30292d64547e0d55780f2741086d3328f2677e254d5cdc7f53

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:08:31.605944Z digest=sha256:4abe4c15be0b15b0af18085525042cd312682bcaa099f03f432c3a00311c04e6

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:f728b3e7cf191c58c747d6739335278caaedf99c076384d11b9783875f5abf5f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:08:31.537741Z digest=sha256:32e793ec0572c38a92b9ce47ae827ed1a4af93629d770abd49aa6241bd810817

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:f7182c92d5cebc372e4ab832a777e752204b78116c698bbead84d8bd4066ba10

Pith citing papers

No inbound Pith citation observations are available.