Paper Citation Record · LEDGER

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes

As of 19 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2505.00974.

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

pith.paper-citation-record.v1
2505.00974 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:40:07.514853Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

18 of 18 outbound references displayed

verified exact2
verified fuzzy12
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3ee36d0e-60c8-4c77-9770-216b03e4d83b · outbound

This paper cites Application of boolean algebra to switchi ng circuit design and to error detection,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Application of boolean algebra to switchi ng circuit design and to error detection,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.918791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation de77a153-8e35-474d-97b4-8e301ce96404 · outbound

This paper cites A class of multiple-error-correcting codes an d the decoding scheme,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes A class of multiple-error-correcting codes an d the decoding scheme,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T04:40:07.386991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f05e27b0-627f-4999-a161-62b3fe896d01 · outbound

This paper cites Reed–muller codes achieve capacity on erasure ch annels,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Reed–muller codes achieve capacity on erasure ch annels,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.892167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 20e98b34-b2e2-4aa8-a3eb-8a7148a42608 · outbound

This paper cites Reed–muller codes on bms chan nels achieve vanishing bit-error probability for all rates belo w capacity,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Reed–muller codes on bms chan nels achieve vanishing bit-error probability for all rates belo w capacity,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T04:40:07.397431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04c3681b-8c78-4909-a94d-c5f24a0f8ad8 · outbound

This paper cites A proof that Reed-Muller codes achieve Shannon capacity on symmetric channels.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes A proof that Reed-Muller codes achieve Shannon capacity on symmetric channels

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-16T04:40:07.674938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 12a492f3-dae0-4b48-b81d-56ce3802fcb7 · outbound

This paper cites A serial orthogonal decoder,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes A serial orthogonal decoder,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.865029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bae659b1-41bd-49ca-b3f7-bf706a3b5535 · outbound

This paper cites Recursive projection-aggregation de coding of reed- muller codes,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Recursive projection-aggregation de coding of reed- muller codes,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.849099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 396e7c5f-43a7-4270-a934-e122f996e6b3 · outbound

This paper cites An Analysis of RPA Decoding of Reed-Muller Codes Over the BSC.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes An Analysis of RPA Decoding of Reed-Muller Codes Over the BSC

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-16T04:40:07.646543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea5330c9-c412-4a55-912a-7e21025aa0dd · outbound

This paper cites Recursive decoding and its performance for lo w-rate reed- muller codes,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Recursive decoding and its performance for lo w-rate reed- muller codes,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.830263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d28a82b7-9d62-4bb4-9dec-c5f1a0df0277 · outbound

This paper cites Decoding of second order reed-muller code s with a large number of errors,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Decoding of second order reed-muller code s with a large number of errors,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.810926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fa552f55-b874-4fe0-804c-34814fb06136 · outbound

This paper cites Comparing the bit-map and block-map decoding thresholds o f reed- muller codes on bms channels,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Comparing the bit-map and block-map decoding thresholds o f reed- muller codes on bms channels,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T04:40:07.474455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c81da48d-69c3-40e7-8786-0ee5aafe4ff9 · outbound

This paper cites On α -decodability and α -likelihood decoder,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes On α -decodability and α -likelihood decoder,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.793952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7f41a27d-b80d-4259-9913-c2198ed4e755 · outbound

This paper cites Monte carlo decoding of LDPC codes,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Monte carlo decoding of LDPC codes,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.777018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 87e83c50-e448-427c-8f9c-7bc31c14109e · outbound

This paper cites Estimating th e weight enu- merators of reed-muller codes via sampling,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Estimating th e weight enu- merators of reed-muller codes via sampling,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.758985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fedd2b0f-8bb6-404e-8b5e-3a2837702a3e · outbound

This paper cites Markov chain monte carlo methods for dete ction and decoding,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Markov chain monte carlo methods for dete ction and decoding,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.740519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 22afa8b3-027c-4cf0-bd7c-264fb074a2ac · outbound

This paper cites an unresolved cited work.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T04:40:07.503916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a950a42f-4dc6-4667-b36d-1ea36c025c46 · outbound

This paper cites Parallel monte carlo markov chain decoding of linear codes,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes Parallel monte carlo markov chain decoding of linear codes,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.711306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4f28c656-6a77-46d1-9603-b72ea97377cc · outbound

This paper cites MCMC decoding of LDPC codes with BP preprocessing,.

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes MCMC decoding of LDPC codes with BP preprocessing,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:40:07.694313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.