Paper Citation Record · LEDGER

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers

As of 5 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2605.05728.

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

pith.paper-citation-record.v1
2605.05728 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T15:02:13.982353Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T16:00:08.393073Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T02:17:35.191492Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy9
unresolved11
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0693dee9-d8f3-4c6d-9c3d-a048414c84cf · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.827305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 55be13d8-5f2b-4382-85aa-c50e5f04cb47 · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.820310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 11a66674-07fe-46c1-aa6d-42893fa343f6 · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.855132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 203a7240-51f5-460d-a907-87e259df615e · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.834582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2e08b7c9-917e-4649-9839-032ee88ca30d · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.841484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 18a5e1be-6451-40ef-a91d-974b34146fa1 · outbound

This paper cites E.2 Convergence statistics Table 18: Dual label extraction statistics for case118.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers E.2 Convergence statistics Table 18: Dual label extraction statistics for case118

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T11:27:38.844901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1127ec05-e242-4c90-93b8-3d1aeb8db57b · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.812597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 34e8ac3c-9917-4bd0-9d0d-e4d9b64890e2 · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.823747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 15d3c606-33c1-47d3-bb88-bdb2eec0ed5d · outbound

This paper cites Adding edge updates (Exp E) reduced loss to 0.45—the first time any GNN variant dropped below 1.0.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Adding edge updates (Exp E) reduced loss to 0.45—the first time any GNN variant dropped below 1.0

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T11:27:38.816817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 51e172d5-73a6-4b7b-aabc-517eff11d06d · outbound

This paper cites The binding mask helps the model allocate capacity to the sparse but critical binding multipliers; two-stage decoding conditions dual prediction on predicted primals.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers The binding mask helps the model allocate capacity to the sparse but critical binding multipliers; two-stage decoding conditions dual prediction on predicted primals

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T11:27:38.831038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ba9a23df-db57-4f50-b3ec-704ae995e9fe · outbound

This paper cites This is the largest single-modification gain in the entire ablation.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers This is the largest single-modification gain in the entire ablation

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T11:27:38.879211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b1ec7dec-9116-41b9-80d8-f1b37d6035b0 · outbound

This paper cites Combining all three (best_combo, 500 epochs) did not push below 5.4, indicating an architectural ceiling for this model family on case118.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Combining all three (best_combo, 500 epochs) did not push below 5.4, indicating an architectural ceiling for this model family on case118

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T11:27:38.872297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation fa4c3074-6e37-4e03-8f11-9fc502c9a963 · outbound

This paper cites H= 256 (∼25M params) achieved 6.6 iterations—worse than H= 128.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers H= 256 (∼25M params) achieved 6.6 iterations—worse than H= 128

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T11:27:38.868851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 7e1035b1-9fc6-4a56-8a27-25f955000070 · outbound

This paper cites bus"], "batch.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers bus"], "batch

Reference 14

Resolution: malformed identifier; raw_fallback, observed 2026-05-26T11:27:38.875303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 599ec526-182b-472f-945e-3209b3ed9f0d · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.882478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b2ff909f-cba0-4129-9a48-d6b3b70fd216 · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.851515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 92b30799-4f4b-4135-bddb-ea24bade748a · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.858640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 4e3c8603-649f-4044-9b9a-2db4b193216e · outbound

This paper cites bus","ac_line.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers bus","ac_line

Reference 18

Resolution: malformed identifier; raw_fallback, observed 2026-05-26T11:27:38.865286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d7831361-2895-4c90-83b5-15a09afac10c · outbound

This paper cites an unresolved cited work.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-26T11:27:38.848139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation fc9bd204-399a-440b-a112-6ab52e408f4f · outbound

This paper cites More recently, Chen et al.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers More recently, Chen et al

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T11:27:38.861971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c17ecb42-f791-4aa3-9730-2603bcb40818 · outbound

This paper cites Sambharya et al.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Sambharya et al

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T11:27:38.885956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 7eaca122-2e7d-4b83-94c8-8c056f460f93 · outbound

This paper cites Liu et al.

WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers Liu et al

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T11:27:38.838048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

Observation a6aa1f2c-df87-42a6-946c-f1f4ede9209f · inbound

Not All Warm Starts Help: Benchmarking Primal-Dual Initializations for ACOPF Algorithms cites this paper.

Not All Warm Starts Help: Benchmarking Primal-Dual Initializations for ACOPF Algorithms WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-03T02:17:35.192762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.