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Paper Citation Record · LEDGER

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations

As of 27 July 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2604.04570.

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

pith.paper-citation-record.v1
2604.04570 v3

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T20:03:55.135103Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-26T06:30:07.085553+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-09T07:24:04.498106Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T07:26:03.165544Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact18
  • verified fuzzy6
  • unresolved0
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7c574922-ced9-4704-942f-2bd9fd1dd5d3 · outbound

This paper cites QOPTLib: a Quantum-Computing-Oriented Benchmark for Combinatorial Optimisation Problems.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations QOPTLib: a Quantum-Computing-Oriented Benchmark for Combinatorial Optimisation Problems

Reference 1

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raw_fallback, observed 2026-05-16T02:57:12.941287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:a500cdbf7ef839dde9516d8e2927be1b1da06411901af0260a6c26486c92da81

Observation 469bfb81-a16b-47d7-a9fd-07f0359dffc7 · outbound

This paper cites A Hybrid Solution Method for the Capacitated Vehicle Routing Problem Using a Quantum Annealer.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations A Hybrid Solution Method for the Capacitated Vehicle Routing Problem Using a Quantum Annealer

Reference 2

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arxiv_id, observed 2026-05-10T20:05:45.313043Z

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No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:73808282557cbc972e6795b039ba9b703ce37ae3696bbc199ddbe4de0b8fd59d

Observation 3f556065-a304-49a4-a6da-d3dcf2fddaf3 · outbound

This paper cites Quantum-Assisted Solution Paths for the Capacitated Vehicle Routing Problem.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Quantum-Assisted Solution Paths for the Capacitated Vehicle Routing Problem

Reference 3

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metadata mismatch
arxiv_id, observed 2026-05-10T20:05:45.300161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:e8ee8ae745824195c3c9abdb6321aef9ad0579685ebbb9402c4383f0f1c1a253

Observation a45fc140-7376-4382-97bb-32a6c47c32ae · outbound

This paper cites an unresolved cited work.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Unresolved cited work

Reference 4

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raw_fallback, observed 2026-05-16T02:57:12.954330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:1d0e142f9b5fca2df43ac8a98c89095cbb352be4687b911c00df148ab1dc5eb2

Observation c605953e-c634-4f1f-a0b6-a9f702244538 · outbound

This paper cites Quantum computing for transport optimization.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Quantum computing for transport optimization

Reference 5

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arxiv_id, observed 2026-05-10T22:15:50.438757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:957bbb9ab199c24682b7a257eb12933149d4433b5837ed6038a0eaa9d72c0c94

Observation b51e8734-0b8c-4c7d-aaa0-71598584c388 · outbound

This paper cites A Feasibility-Preserved Quantum Approximate Solver for the Capacitated Vehicle Routing Problem.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations A Feasibility-Preserved Quantum Approximate Solver for the Capacitated Vehicle Routing Problem

Reference 6

Resolution
verified exact
doi, observed 2026-05-10T20:05:45.320870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:fc92c950043e6bcc27d4f74eee61ab1548a460ead05dda61e4e4d12ba493f0eb

Observation 141f3d96-b3c0-4de8-a10b-09bf30d716b3 · outbound

This paper cites Empirical Quantum Advantage in Constrained Optimization from Encoded Unitary Designs.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Empirical Quantum Advantage in Constrained Optimization from Encoded Unitary Designs

Reference 7

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arxiv_id, observed 2026-05-10T22:15:50.460392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:7f8172b9c240c862381e8a63bffcae2db2988e69a14f951c74510d0e421c8b49

Observation f34dde3d-7284-4b85-9a9a-e74d6b5938ab · outbound

This paper cites Fundamental Limitations of QAOA on Constrained Problems and a Route to Exponential Enhancement.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Fundamental Limitations of QAOA on Constrained Problems and a Route to Exponential Enhancement

Reference 8

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local_arxiv, observed 2026-05-10T22:15:50.430370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:a0e114c6a4cae446e2a4e921d06377681943c45561f7bfc511984ccb4abca8c7

Observation 66454fb1-d55c-405c-a9a2-d8fe923286d8 · outbound

This paper cites Finite-Depth, Finite-Shot Guarantees for Constrained Quantum Optimization via Fej\'er Filtering.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Finite-Depth, Finite-Shot Guarantees for Constrained Quantum Optimization via Fej\'er Filtering

Reference 9

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local_arxiv, observed 2026-05-10T22:15:50.426302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:57fe69e22b5451462e5d651776e5bb396f900ab71ea6436bc0a967a78b9e85e3

Observation 69c592a5-fdc4-4f42-915b-e2878b1a3c7e · outbound

This paper cites Requirements for Early Quantum Utility and Quantum Utility in the Capacitated Vehicle Routing Problem.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Requirements for Early Quantum Utility and Quantum Utility in the Capacitated Vehicle Routing Problem

Reference 10

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arxiv_id, observed 2026-05-20T02:04:44.483449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:f32df100a2ab5a5648a9b90ecb944259ecdb2656f14bbca8c2cca1e40d38e406

Observation b4d8ba14-5f2f-4415-930f-932477cda3e4 · outbound

This paper cites Zenodo, 2026.doi: 10.5281/zenodo.18798145.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Zenodo, 2026.doi: 10.5281/zenodo.18798145

Reference 11

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doi, observed 2026-05-10T20:05:45.305174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:2b7ec54d458a0093e862245b3e0fc84ef85ac075335a92af87d09dda4621c79c

Observation c53ee99e-2437-4156-8a23-bd46b8432f4d · outbound

This paper cites Solving Vehicle Routing Problem Using Quantum Approximate Optimization Algorithm.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Solving Vehicle Routing Problem Using Quantum Approximate Optimization Algorithm

Reference 12

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arxiv_id, observed 2026-05-10T20:05:45.303419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:e534e49571f079fd4e4fad2ad6eb2defd153fa3ee8d8f41c8f64e304b7cdf5c4

Observation 017fd113-0f42-4749-a734-2997fe27face · outbound

This paper cites Quantum- assisted vehicle routing: Realizing qaoa-based approach on gate-based quantum computer.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Quantum- assisted vehicle routing: Realizing qaoa-based approach on gate-based quantum computer

Reference 13

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arxiv_id, observed 2026-05-10T22:15:50.446175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:7b749ba0b8c8887213fe8870739eba1bb7673332fd76477a689435603a8f03c2

Observation 814e8bfe-25fd-46ee-9d1a-43637d596c28 · outbound

This paper cites Applying Quantum Approximate Optimization to the Hetero- geneous Vehicle Routing Problem.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Applying Quantum Approximate Optimization to the Hetero- geneous Vehicle Routing Problem

Reference 14

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verified exact
doi, observed 2026-05-10T20:05:45.306982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:2b265c20024d4486eab6a5f07d0795e4e95ef496abdab944895e94bd8cdb590d

Observation caf7b9d8-3bf4-43fb-965f-127d6c084498 · outbound

This paper cites Rieffel, Davide Venturelli, and Rupak Biswas.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Rieffel, Davide Venturelli, and Rupak Biswas

Reference 15

Resolution
metadata mismatch
doi, observed 2026-05-10T20:05:45.297209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:0872d1532e33922eac59c30e92a35cc41688bf39a1581b0c38d17913af00db48

Observation 054d722f-a462-4623-a1da-0ff9eca566ba · outbound

This paper cites Constraint Preserving Mixers for the Quantum Approximate Optimization Algorithm.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Constraint Preserving Mixers for the Quantum Approximate Optimization Algorithm

Reference 16

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doi, observed 2026-05-10T20:05:45.318758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:b672083bbd19ed9e065a5c1a5c92dedc034228a048edd10453ca52b5a573e5a3

Observation c1163371-731d-4d63-adf1-a5309fc62306 · outbound

This paper cites Symmetries and Dimension Reduction in Quantum Approximate Optimization Algorithm.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Symmetries and Dimension Reduction in Quantum Approximate Optimization Algorithm

Reference 17

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arxiv_id, observed 2026-05-10T22:15:50.449688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:f24eeb3bf18872dc6d65884852b906ce20f074bb9112ef321d27b425d08c966e

Observation 9897ff9d-e62c-428b-af2a-7b6294476d2c · outbound

This paper cites On the Co-Design of Quantum Software and Hardware.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations On the Co-Design of Quantum Software and Hardware

Reference 18

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arxiv_id, observed 2026-05-10T20:05:45.316140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:fbcec186bc10162bea299cd52affe54545e33ce955d052d7cd69a0b5032a6471

Observation 0162690a-0957-4bd3-841e-92ca9258c20a · outbound

This paper cites Ayrton et al.Qiskit: An Open-source Framework for Quantum Computing.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Ayrton et al.Qiskit: An Open-source Framework for Quantum Computing

Reference 19

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raw_fallback, observed 2026-05-16T02:57:12.936915Z

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No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:03da7dc0fa3cb8909e4825cd890146d54e5db29125ee95450d051a0dbbea1dc3

Observation 7d81ad91-377d-4697-b3f3-5625196176da · outbound

This paper cites Vidal ,\ 10.1103/PhysRevLett.91.147902 journal journal Phys.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Vidal ,\ 10.1103/PhysRevLett.91.147902 journal journal Phys

Reference 20

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doi, observed 2026-05-10T20:05:45.329841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:e64a150a495e3c9758d6a94a2de71e6854de000c4b919ceb4133054435bdef96

Observation c8003f33-fae6-41c6-b92a-e76abef4aa97 · outbound

This paper cites 2026.url:https: //www.gurobi.com.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations 2026.url:https: //www.gurobi.com

Reference 21

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raw_fallback, observed 2026-05-16T02:57:12.950347Z

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No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:5da1e721988fe9f3b10dc47b55d073424dc933b435c2a0ac8fc37298b5e53eb5

Observation e01d41a3-506e-4cc4-970a-eae9f1d238be · outbound

This paper cites A generic exact solver for vehicle routing and related problems.Mathematical Programming, 183:483 – 523.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations A generic exact solver for vehicle routing and related problems.Mathematical Programming, 183:483 – 523

Reference 22

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doi, observed 2026-05-10T20:05:45.327618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:1e4047842e4f201673d645d7f545e4e381871c85fca9df1eed85a0b1143097b0

Observation 5e1d1b41-2564-4728-9734-0b1c1e91307c · outbound

This paper cites A Unified Solution Framework for Multi-Attribute Vehicle Routing Problems.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations A Unified Solution Framework for Multi-Attribute Vehicle Routing Problems

Reference 23

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verified exact
doi, observed 2026-05-10T20:05:45.323116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:db714eae0d25bbc780b13378195773e379ada8f0b9bd1a0e8650663110abe84c

Observation 1b940771-9700-40c9-8cb1-1428fbd569c4 · outbound

This paper cites Accessed: 2026-04-04.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Accessed: 2026-04-04

Reference 24

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raw_fallback, observed 2026-05-16T02:57:12.945779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:fde6f3e5d73024e863331e986617642af990e65d6c608cbc18276b97aac6e103

Observation 6d15e218-d0a4-4a67-9ae3-c32ceadfe31f · outbound

This paper cites Accessed: 2026-04-04.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Accessed: 2026-04-04

Reference 25

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raw_fallback, observed 2026-05-16T02:57:12.958174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:a8757e5bed931cc0f724d1ad1bd1b1001e29a2f7a77dd4f038a0c66f121164c4

Observation 5e861ad4-0c3e-43a7-b239-65f9eb7f003b · outbound

This paper cites https://doi.org/10.1007/978-1- 4684-3384-5_11.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations https://doi.org/10.1007/978-1- 4684-3384-5_11

Reference 26

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doi_truncated, observed 2026-05-10T20:05:45.325543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:4afc40e145c310cd2ec39ef6323e3cc22725f1bb9e32dd788af9de0234819847

Observation d7b71ef9-a06d-47ec-b382-3c1f47f95c41 · outbound

This paper cites Society for Industrial and Applied Mathematics, Philadelphia, PA, 2014.doi:10.1137/1.9781611973594.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Society for Industrial and Applied Mathematics, Philadelphia, PA, 2014.doi:10.1137/1.9781611973594

Reference 27

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doi, observed 2026-05-10T20:05:45.335307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:4489f9c13c57d1767545d44181738d1565c7737a880f3d8c521bafec1d8e94ba

Observation b4f24899-bce1-4d46-b200-5499af788f3e · outbound

This paper cites Exact Branch-Price-and-Cut Algorithms for Vehicle Routing.

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations Exact Branch-Price-and-Cut Algorithms for Vehicle Routing

Reference 28

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arxiv_id, observed 2026-05-10T20:05:45.333094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-05-10T20:03:55.135103Z digest=sha256:3f06d46077f51ba9a57aa8352eec696c3c6e80453236c03388303f576073d9cf

Pith citing papers

Observation 6b65aa3c-7c43-4123-832b-07b88ea61bba · inbound

RL-Guided Quantum-ALNS for Constrained VRP cites this paper.

RL-Guided Quantum-ALNS for Constrained VRP Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations

Reference 9

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local_arxiv, observed 2026-07-09T07:26:03.167640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-26T06:30:07.085553+00:00.

source=pdf_text observed=2026-07-09T07:24:04.498106Z digest=sha256:8952499bdfa31a1bb2dcb3827c89d46bb019a83c4e2488517edc039edf59c8f7