Paper Citation Record · LEDGER

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle

As of 12 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2412.01937.

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

pith.paper-citation-record.v1
2412.01937 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:09:17.460014Z

measured 39 of 39 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:40:46.711050Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T19:40:47.252087Z

Reference resolution

38 of 38 outbound references displayed

verified exact2
verified fuzzy29
unresolved5
parse uncertain1
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 277a57b4-ae31-4b15-85ff-84531fb44659 · outbound

This paper cites Graph puzzles, homotopy, and the alternating group.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Graph puzzles, homotopy, and the alternating group

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.982355Z

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.

Observation 9b22c0b3-45c6-43dd-93d4-170b2e5c6340 · outbound

This paper cites Discrete configuration spaces of squares and hexagons.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Discrete configuration spaces of squares and hexagons

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.969880Z

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.

Observation ea10d1aa-7cb0-4d44-a2e9-15158ff37413 · outbound

This paper cites Parity Property of Hexagonal Sliding Puzzles.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Parity Property of Hexagonal Sliding Puzzles

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:09:17.546092Z

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.

Observation 0526918d-c770-4220-bc77-e8ae414060b3 · outbound

This paper cites Higher-dimensional cubical sliding puzzles.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Higher-dimensional cubical sliding puzzles

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:09:17.526688Z

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.

Observation a42575cc-a50d-4843-9a7f-1f8376e24f49 · outbound

This paper cites Finding the shortest move-sequence in the graph-generalized 15-puzzle is NP-hard.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Finding the shortest move-sequence in the graph-generalized 15-puzzle is NP-hard

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.957802Z

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.

Observation 233de0e6-c87e-425e-b442-b79f83c6473e · outbound

This paper cites A formal basis for the heuristic determination of minimum cost paths.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle A formal basis for the heuristic determination of minimum cost paths

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.944177Z

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.

Observation 5d94cdd4-fd3c-4e01-8653-155e177edbc9 · outbound

This paper cites Reinforcement Learning: An Introduction.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Reinforcement Learning: An Introduction

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.929632Z

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.

Observation f1005c7d-a1ce-4ce1-b4d3-26bb46dcc150 · outbound

This paper cites Markov games as a framework for multi-agent reinforcement learning.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Markov games as a framework for multi-agent reinforcement learning

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.915816Z

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.

Observation 3b1c73fd-9910-4846-8ab0-d1df048ade0d · outbound

This paper cites Reinforcement learning and approximate dynamic programming for feedback control.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Reinforcement learning and approximate dynamic programming for feedback control

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.902191Z

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.

Observation b949817b-6353-4930-a1da-96239c68dbb6 · outbound

This paper cites Approximate Dynamic Programming: Solving the curses of dimensionality , volume.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Approximate Dynamic Programming: Solving the curses of dimensionality , volume

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.888740Z

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.

Observation a095627c-ba75-4be1-abd7-24678e23616e · outbound

This paper cites Reinforcement learning: An introduction.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Reinforcement learning: An introduction

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T00:09:17.361830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5dd788a-9aca-4602-b42c-b2b4e7943553 · outbound

This paper cites Simulation-based optimization, volume 62.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Simulation-based optimization, volume 62

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.852931Z

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.

Observation 07bb3d43-fc1d-44cc-89aa-b42976628b74 · outbound

This paper cites A comprehensive survey of multiagent rein- forcement learning.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle A comprehensive survey of multiagent rein- forcement learning

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.839746Z

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.

Observation 7cee7011-91e9-47b7-a0f9-d5850d0de9cf · outbound

This paper cites Nature-inspired optimization algorithms, volume 2.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Nature-inspired optimization algorithms, volume 2

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.825924Z

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.

Observation 38444cec-710c-4c75-8625-5cd8fd966769 · outbound

This paper cites Optimal dynamic treatment regimes.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Optimal dynamic treatment regimes

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.813259Z

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.

Observation f0564aaf-61bf-4473-93de-42abbb609890 · outbound

This paper cites A Markovian Decision Process.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle A Markovian Decision Process

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.800711Z

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.

Observation 8120860c-483e-4c14-883c-4afba3dd4d2e · outbound

This paper cites Reinforcement learning for combinatorial optimization: A survey.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Reinforcement learning for combinatorial optimization: A survey

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T00:09:17.384165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61393451-d04d-4e2c-8a11-38f25518e81c · outbound

This paper cites Neural Combinatorial Optimization with Reinforcement Learning.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Neural Combinatorial Optimization with Reinforcement Learning

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T00:09:17.388761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 243f20a0-91ba-44b4-ba78-3f5df31e05aa · outbound

This paper cites Reinforcement learning for solving the vehicle routing problem.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Reinforcement learning for solving the vehicle routing problem

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.778712Z

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.

Observation 4b4d8f63-2e3b-4ee2-8022-265b5303fd24 · outbound

This paper cites Exploratory combinatorial opti- mization with reinforcement learning.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Exploratory combinatorial opti- mization with reinforcement learning

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.764925Z

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.

Observation 0aa9809d-31b0-4442-8c40-7eb8bc6aa6d9 · outbound

This paper cites Combinatorial optimization with graph convolutional networks and guided tree search.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Combinatorial optimization with graph convolutional networks and guided tree search

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.751028Z

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.

Observation 299f2d56-efd4-4f96-a022-c34026239a73 · outbound

This paper cites Learning combinatorial optimization algorithms over graphs.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Learning combinatorial optimization algorithms over graphs

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.738997Z

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.

Observation 123812c6-bfc8-4866-b32b-fe41e9dcc273 · outbound

This paper cites Learning local search heuristics for boolean satisfiability.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Learning local search heuristics for boolean satisfiability

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.726928Z

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.

Observation 0f586ecf-39ce-4047-8050-2c8ca5ce69e9 · outbound

This paper cites Deep-pack: A vision-based 2d online bin packing algorithm with deep reinforcement learning.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Deep-pack: A vision-based 2d online bin packing algorithm with deep reinforcement learning

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.714694Z

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.

Observation 74da2770-1174-48ef-83b2-0a95298d2418 · outbound

This paper cites Attend2Pack: Bin Packing through Deep Reinforcement Learning with Attention.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Attend2Pack: Bin Packing through Deep Reinforcement Learning with Attention

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-12T00:09:17.415073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a446e3f-2823-4084-8a8f-9b8e757af59e · outbound

This paper cites an unresolved cited work.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:09:17.701400Z

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.

Observation 91e32ce2-5f06-4c9f-88de-eeadc33d99ed · outbound

This paper cites aRNAque: an evolutionary algorithm for inverse pseudoknotted RNA folding inspired by L´ evy flights.BMC Bioinformatics , 23(1):335, 2022.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle aRNAque: an evolutionary algorithm for inverse pseudoknotted RNA folding inspired by L´ evy flights.BMC Bioinformatics , 23(1):335, 2022

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.689353Z

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.

Observation 6446191e-b0ef-420a-8fc7-4ece76026c8f · outbound

This paper cites A simple evolutionary algorithm guided by local mutations for an efficient rna design.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle A simple evolutionary algorithm guided by local mutations for an efficient rna design

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.676883Z

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.

Observation c93752e0-323f-4754-87fb-bede57f3bdee · outbound

This paper cites Evolutionary solution for the RNA design problem.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Evolutionary solution for the RNA design problem

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.663802Z

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.

Observation 0b4388e5-d696-4573-b3e8-e2eb1ae80ab7 · outbound

This paper cites ERD: a fast and reliable tool for RNA design including constraints.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle ERD: a fast and reliable tool for RNA design including constraints

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.651274Z

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.

Observation 75e271d0-30c8-4f71-92f8-69c75ebf49ae · outbound

This paper cites RnaPredict—an evolutionary algorithm for RNA secondary structure prediction.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle RnaPredict—an evolutionary algorithm for RNA secondary structure prediction

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.637749Z

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.

Observation 4660c215-481b-4160-be87-b428695a9a0c · outbound

This paper cites An introduction to genetic algorithms.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle An introduction to genetic algorithms

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.624613Z

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.

Observation 8560716b-778d-4d21-af66-ee35bf01bccb · outbound

This paper cites An evolutionary algorithm for the vehicle routing problem with route balancing.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle An evolutionary algorithm for the vehicle routing problem with route balancing

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.611561Z

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.

Observation 16cbb8ea-c80e-414a-884d-3ce81fb56f5f · outbound

This paper cites A hybrid genetic algorithm for the vehicle routing problem with simultaneous pickup and delivery.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle A hybrid genetic algorithm for the vehicle routing problem with simultaneous pickup and delivery

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.597488Z

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.

Observation 8d8a1af1-7267-4b98-b1a3-f55b2a88d8eb · outbound

This paper cites Graph puzzles, homotopy, and the alternating group.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Graph puzzles, homotopy, and the alternating group

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.584600Z

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.

Observation aa5b858c-32f7-4d1b-8ad3-a43f170430a2 · outbound

This paper cites Artificial Intelligence: A Modern Approach (2nd ed.).

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Artificial Intelligence: A Modern Approach (2nd ed.)

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:17.571505Z

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.

Observation 3e71e412-ff05-4d48-8c68-2032effb8c6d · outbound

This paper cites Reinforcement learning-assisted evolutionary algorithm: A survey and research opportunities.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Reinforcement learning-assisted evolutionary algorithm: A survey and research opportunities

Reference 37

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T00:09:17.559029Z

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.

Observation e6be5e27-5b14-4dd0-ab78-2f1e13d1e1f6 · outbound

This paper cites an unresolved cited work.

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle Unresolved cited work

Reference 703

Resolution: parse uncertain; raw_fallback, observed 2026-08-12T00:09:17.875918Z

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.

Pith citing papers

Observation 4683f929-c1df-40be-b0bb-204ecaa93c45 · inbound

The sliding tile puzzle, roots to polynomials, and $\textbf{P}$ vs. $\textbf{NP}$ complexity cites this paper.

The sliding tile puzzle, roots to polynomials, and $\textbf{P}$ vs. $\textbf{NP}$ complexity Approximately Optimal Search on a Higher-dimensional Sliding Puzzle

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:40:47.256797Z

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.