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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.381545Z digest=sha256:09e79ab72f8ca4dcc271561872db9f6b0a8874ac915929f74ba084f36bcf4acc

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.

source=pdf_text observed=2026-08-16T04:40:07.386991Z digest=sha256:d63c1fd8a28652e15e4304356278fb3e5680052bdc56cfc45b467aec5f58563b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.392303Z digest=sha256:e359c7f64381d1bb990db397c54211905a9c7abe55eaf9d77bc56a40270f2533

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.

source=pdf_text observed=2026-08-16T04:40:07.397431Z digest=sha256:275042ad86d0933bb86cdaeb56a48166494ea941caf48ad0fa996bc04e134fbb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.402452Z digest=sha256:9ebeaebeb14efe4cf9e89817e5bdc5c8a0b0408a439446251e9266b27e8d856a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.408692Z digest=sha256:f96dca1ca22cb7872becc5bc30ce55239e57be7e48959936495e558ac1b37903

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.418181Z digest=sha256:77400c6259dbd63dd5a445eec00314bee55092fbd479db9b630c194ece3cf082

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.424293Z digest=sha256:49f37347580b1aec01e75ab8edb4fdf0a20ca3f8d1a67d628e8ef656c7e35b1b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.429111Z digest=sha256:aaa0ae285d05593e2a52a65640d0d6fb262c6e863fb03ebd92919671f95c845a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.465461Z digest=sha256:06f1fe62ba2f4ec55d93c74e20ad7a47b96b7f36fc9dc508869b4b92d3d3059c

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.

source=pdf_text observed=2026-08-16T04:40:07.474455Z digest=sha256:660ce4c544bd742143c21157058a8718be526d5b89ead5215e5108ed85544948

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.480163Z digest=sha256:976dfbf5ff85d0c8a9b90d55d95c30b88f55fa51875ef00eb281a4f478e3c942

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.486479Z digest=sha256:7cb9303fb0a0bb8850f996229db026bd104f1cc7f73158f7cf66c4f9a34224e4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.492910Z digest=sha256:bfe5d3d4272a22ca82ff334eb69ff52e12119c0f21a36f7edca59377c9e86f0c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.498079Z digest=sha256:1543bcf70840a722e06e6314487eb642c67ec343c204403e508404b2176c73af

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.

source=pdf_text observed=2026-08-16T04:40:07.503916Z digest=sha256:11074d948be9e39efa53abe2a6cc9149a49f2ed8833732e16454b1c467048aef

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.509586Z digest=sha256:ed307d37a3cfc1fc48be96f4ccf586b1e5fdcf523b06cc977caca173cd754259

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:40:07.514853Z digest=sha256:9337603600f6bc533f4d1b3c6962394dfb1d70f14a90f494eed37d9a3341a19f

Pith citing papers

No inbound Pith citation observations are available.