Paper Citation Record · LEDGER

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code

As of 15 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2505.18592.

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

pith.paper-citation-record.v1
2505.18592 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:34:13.959369Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:34:13.714642Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T14:34:14.040797Z

Reference resolution

38 of 38 outbound references displayed

verified exact1
verified fuzzy29
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f3961cfe-0c3d-4fe3-9798-4567a42f17c8 · outbound

This paper cites an unresolved cited work.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:34:14.783873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c2f30dc3-e147-4b5e-82a7-0f8ed6dc8c97 · outbound

This paper cites Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T14:34:14.051380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6cb1b925-bbde-4e87-83ab-9b7126e85560 · outbound

This paper cites an unresolved cited work.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:34:14.766362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1740c1ec-1923-4f1f-9453-4e5af118c976 · outbound

This paper cites Although computationally efficient, this method reduces the effective code distance to: deff = 2 d1 + 1 2 d2 + 1 2 , (7) 4 FIG.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Although computationally efficient, this method reduces the effective code distance to: deff = 2 d1 + 1 2 d2 + 1 2 , (7) 4 FIG

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T14:34:14.746453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 28a87f79-a32d-4f39-abbf-782d2d87e303 · outbound

This paper cites an unresolved cited work.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:34:14.725023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 23fe4f67-b217-437a-a689-02cd6318e9c3 · outbound

This paper cites Fowler, Matteo Mariantoni, John M.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Fowler, Matteo Mariantoni, John M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.702743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 725f48d7-549c-49ca-bf2e-a380a673dc80 · outbound

This paper cites Topological quantum memory.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Topological quantum memory

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.681764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 71ffe62d-9543-4a9c-a662-e19a8c7a8434 · outbound

This paper cites Fowler, Ashley M.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Fowler, Ashley M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.660667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d34a2f77-b387-476f-a994-b630bdb68698 · outbound

This paper cites Topologi- cal fault-tolerance in cluster state quantum computation.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Topologi- cal fault-tolerance in cluster state quantum computation

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.641272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation af8ac61f-5015-4580-a1e3-a425ae4ff390 · outbound

This paper cites Superconducting quantum circuits at the surface code threshold for fault tolerance.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Superconducting quantum circuits at the surface code threshold for fault tolerance

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.622896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5f64f7ee-b5b2-4c26-ad27-d159a8e777a1 · outbound

This paper cites Cross, A.D.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Cross, A.D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.604008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 42944568-3ea4-41d5-9e38-dcd0882cf9f6 · outbound

This paper cites Quantum error correction below the surface code threshold.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Quantum error correction below the surface code threshold

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:13.794376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1243dd2-5f53-40dd-9c49-cea60e9e7654 · outbound

This paper cites AbuGhanem.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code AbuGhanem

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.585099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e74f79e0-9024-4230-8caa-61417523604b · outbound

This paper cites Bombin and M.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Bombin and M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.566578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c296ded0-100a-4917-b553-be6b6d0fcacd · outbound

This paper cites On the iterative decod- ing of sparse quantum codes, 2008.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code On the iterative decod- ing of sparse quantum codes, 2008

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.544913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 81569bec-e82f-4744-8049-904ff660b03f · outbound

This paper cites Quantum ldpc codes with positive rate and minimum distance propor- tional to the square root of the blocklength.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Quantum ldpc codes with positive rate and minimum distance propor- tional to the square root of the blocklength

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.528205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 38e11fc0-e4ce-4c7d-ac54-12460b54de41 · outbound

This paper cites Good quantum ldpc codes with linear time de- coders, 2022.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Good quantum ldpc codes with linear time de- coders, 2022

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.509500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d2f457b3-becc-4c68-8429-df94197eb4f7 · outbound

This paper cites Asymptotically good quantum and locally testable classical ldpc codes, 2022.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Asymptotically good quantum and locally testable classical ldpc codes, 2022

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.491116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3561676e-f717-47c1-bd72-bb5571533f3b · outbound

This paper cites A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.469654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e34bf7ac-e997-4627-9535-f8bf9386ef45 · outbound

This paper cites Evered, Alexandra A.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Evered, Alexandra A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.449626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c28205b1-b954-46db-a9c6-c879656d6042 · outbound

This paper cites Beverland, and Maxime A.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Beverland, and Maxime A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.429446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 78117367-b3b3-4897-8c37-b9124bda2da7 · outbound

This paper cites Pattison, Anirudh Krishna, and John Preskill.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Pattison, Anirudh Krishna, and John Preskill

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.410358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e403e6a5-4692-4718-a312-f629c2e27064 · outbound

This paper cites Pattison, and John Preskill.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Pattison, and John Preskill

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.389016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 28210ca1-4e90-4ebc-832a-a25d78912fc3 · outbound

This paper cites Concatenate codes, save qubits, 2024.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Concatenate codes, save qubits, 2024

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.370880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6bd645c6-1428-4fa1-ae34-4689752da18f · outbound

This paper cites Ldpc-cat codes for low-overhead quantum computing in 2d, 2024.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Ldpc-cat codes for low-overhead quantum computing in 2d, 2024

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.351340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6a6813b5-68b8-4f43-a7c9-f8184a7dff13 · outbound

This paper cites Kaufman, and Andrew Lucas.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Kaufman, and Andrew Lucas

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.333130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 61abd2e9-97ae-48a7-8e45-d5e03eaa060c · outbound

This paper cites Optimal and efficient decoding of concate- nated quantum block codes.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Optimal and efficient decoding of concate- nated quantum block codes

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.316902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b7474230-158e-44c1-bf22-a7fb5ba87c34 · outbound

This paper cites White, Simon Burton, and Earl Campbell.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code White, Simon Burton, and Earl Campbell

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.298867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6938695c-74c3-442f-bff1-c8f4ce34f87a · outbound

This paper cites an unresolved cited work.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:34:14.279923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fff0d6fa-18c0-4230-b454-d9b6f7be504d · outbound

This paper cites an unresolved cited work.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:34:14.258800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9a38da62-1a9f-4415-bfc0-89d6256be0a7 · outbound

This paper cites Concatenated quantum codes, 1996.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Concatenated quantum codes, 1996

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.236375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f6c3a80b-e39a-4ded-b363-71ecdf67ea07 · outbound

This paper cites Fault-tolerant quantum computation with constant error rate, 1999.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Fault-tolerant quantum computation with constant error rate, 1999

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.215414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ac2f5b9d-3fb4-4068-84a5-230bbeb26dd6 · outbound

This paper cites an unresolved cited work.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:34:14.188773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 69abddc8-16f8-442a-9595-70363eddef40 · outbound

This paper cites Surface code quantum computing by lattice surgery.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Surface code quantum computing by lattice surgery

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.165798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8b2a9205-06c9-4cc9-b1a2-ac9f8c32256f · outbound

This paper cites A game of surface codes: Large-scale quantum computing with lattice surgery.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code A game of surface codes: Large-scale quantum computing with lattice surgery

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.144904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1efd66b3-9bce-4fac-8f18-a668de4f4b71 · outbound

This paper cites Gallager.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Gallager

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.125955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aca8aac7-eb71-4241-8e30-1326a76da92c · outbound

This paper cites Multi-path summation for decoding 2d topological codes.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Multi-path summation for decoding 2d topological codes

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.100927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d680406c-1239-4112-887c-dfc5444413b7 · outbound

This paper cites Data and code for ”hierarchical quantum error correction with hypergraph product code and rotated surface code”, June 2025.

Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code Data and code for ”hierarchical quantum error correction with hypergraph product code and rotated surface code”, June 2025

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:14.077591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation c2f30dc3-e147-4b5e-82a7-0f8ed6dc8c97 · inbound