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Paper Citation Record · LEDGER

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel

As of 19 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2507.10068.

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

pith.paper-citation-record.v1
2507.10068 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:50:44.752156Z

measured 30 of 30 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

30 of 30 outbound references displayed

  • verified exact2
  • verified fuzzy27
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fafc8cc7-51b7-45ba-9e54-ec92369f2157 · outbound

This paper cites Application of Boolean algebra to switching circuit design and to error detection,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Application of Boolean algebra to switching circuit design and to error detection,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.997600Z

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.

source=pdf_text observed=2026-08-06T17:50:44.674380Z digest=sha256:74bf8ba211e5e5097cb6535488c03fa12a5bee3095c6c87eed2d6d37a9d3a6e7

Observation 75e5671b-3323-4997-99a1-46dad2ba7b49 · outbound

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

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel A class of multiple-error-correcting codes and the decoding scheme,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.990436Z

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.

source=pdf_text observed=2026-08-06T17:50:44.677897Z digest=sha256:8b7209c4411ed3ac693357eb331cc7dfda2a70b31e421b314b04572a290aacfb

Observation 000360e5-5f7b-44b6-ac0c-af9940b705db · outbound

This paper cites Reed–Muller codes: Theory and algorithms,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Reed–Muller codes: Theory and algorithms,

Reference 3

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raw_fallback, observed 2026-08-06T17:50:44.983694Z

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.

source=pdf_text observed=2026-08-06T17:50:44.681396Z digest=sha256:3922fa584e3566e2ba6189ca7f2c31a413a19b91a58908d0323fa191de1a38d3

Observation a93e296f-e25f-48f0-bf66-d56f233f068e · outbound

This paper cites Channel polarization: A method for constructing capacity- achieving codes for symmetric binary-input memoryless channels,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Channel polarization: A method for constructing capacity- achieving codes for symmetric binary-input memoryless channels,

Reference 4

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raw_fallback, observed 2026-08-06T17:50:44.977455Z

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.

source=pdf_text observed=2026-08-06T17:50:44.683691Z digest=sha256:bb315aa3289ace68d34296da3daf2269c54d4ec880b1aaaa9abb351a1768dcca

Observation 0f069c23-f8dc-43f7-9c04-0c385420eda4 · outbound

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

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel A proof that Reed-Muller codes achieve Shannon capacity on symmetric channels,

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.970510Z

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.

source=pdf_text observed=2026-08-06T17:50:44.686550Z digest=sha256:b8fa31d4f229393d1e69513e548c000bafc7e07f4963e75349056b040c6ed0f4

Observation 83e32812-7216-4948-8c61-537f50f4eb5c · outbound

This paper cites Reed–Muller Codes on BMS Channels Achieve Vanishing Bit-Error Probability for all Rates Below Capacity,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Reed–Muller Codes on BMS Channels Achieve Vanishing Bit-Error Probability for all Rates Below Capacity,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.962269Z

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.

source=pdf_text observed=2026-08-06T17:50:44.690274Z digest=sha256:4c8d4f731dcc88742c1b0c2b58615286669ca0bc1486d5afcb6904e28e2ecd27

Observation 710d7e0f-3878-4f78-ace0-934985c93361 · outbound

This paper cites From Polar to Reed- Muller Codes: A Technique to Improve the Finite-Length Performance,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel From Polar to Reed- Muller Codes: A Technique to Improve the Finite-Length Performance,

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.955851Z

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.

source=pdf_text observed=2026-08-06T17:50:44.692945Z digest=sha256:80a7b674938cceb1672f073b3f133b489c459e81e18a59e002f9506ce88a55dd

Observation d49921a8-a3e8-416c-8783-887a213848aa · outbound

This paper cites Polar codes: Characterization of exponent, bounds, and constructions,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Polar codes: Characterization of exponent, bounds, and constructions,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.949677Z

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.

source=pdf_text observed=2026-08-06T17:50:44.695900Z digest=sha256:d5b662e8169cfabac6463dfd709f8541eaf24365a96f8a8d3a4220b38603b225

Observation 7df60277-2c2c-4687-a62a-581b44e587ce · outbound

This paper cites Berman codes: A generalization of Reed–Muller codes that achieve BEC capacity,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Berman codes: A generalization of Reed–Muller codes that achieve BEC capacity,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.942327Z

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.

source=pdf_text observed=2026-08-06T17:50:44.698326Z digest=sha256:959eedbf429d072af0fe9c2df09600760491162a28b9156ca88ed75dbfd14e7b

Observation bd12d7e3-f998-4754-b999-7b5d961fd459 · outbound

This paper cites Semisimple cyclic and Abelian codes. II,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Semisimple cyclic and Abelian codes. II,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.933947Z

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.

source=pdf_text observed=2026-08-06T17:50:44.700520Z digest=sha256:267fb17e4aa70dacf26410b9522bed97e02484bfced82ef2989ace028f09df2a

Observation f2e8cce4-845e-47b7-8758-62a0a926a713 · outbound

This paper cites On a family of abelian codes and their state complexities,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel On a family of abelian codes and their state complexities,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.926291Z

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.

source=pdf_text observed=2026-08-06T17:50:44.702692Z digest=sha256:903c7da9061ca2f2c4fe44d22cb57d4fdbbcbd263b497dbdd8855e61fd7e4eaa

Observation 0ee27266-678d-4a28-bf9d-6f6dc2ebcbcb · outbound

This paper cites Successive Cancellation Ordered Search Decoding of Modified GN-Coset Codes,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Successive Cancellation Ordered Search Decoding of Modified GN-Coset Codes,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.916068Z

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.

source=pdf_text observed=2026-08-06T17:50:44.705409Z digest=sha256:5d0bcd6b202b04d2873539a233fe4fd3f70ed4101c10b7aedb17c02fe02f4d7c

Observation de562067-97af-4622-a71b-51ac91014525 · outbound

This paper cites A RM-Polar Codes.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel A RM-Polar Codes

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:50:44.794989Z

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.

source=pdf_text observed=2026-08-06T17:50:44.708435Z digest=sha256:4623cc6f39b3a4351f023a33ae866c83550c83e6d157b469adc74f5c6647bef1

Observation 15aa886c-7386-4176-aae8-32fd153d084d · outbound

This paper cites Transform domain characterization of abelian codes,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Transform domain characterization of abelian codes,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.908843Z

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.

source=pdf_text observed=2026-08-06T17:50:44.711033Z digest=sha256:6853d97ff7487079af92189b0310b5f9e751092aaae613e70036fd17d1df96f3

Observation f5fd2b33-fad2-4b6a-88bd-4c51d16ddeb5 · outbound

This paper cites Reed–Muller codes achieve capacity on erasure channels,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Reed–Muller codes achieve capacity on erasure channels,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.901769Z

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.

source=pdf_text observed=2026-08-06T17:50:44.713331Z digest=sha256:48d52d25fa4a06bb7ce6b284c34779cdc15f5c26cafb5ee352b89b0aca7e5700

Observation c178dcf0-1ec9-4bee-a2b2-16dde96fd7af · outbound

This paper cites Polar codes for channel and source coding,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Polar codes for channel and source coding,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.895615Z

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.

source=pdf_text observed=2026-08-06T17:50:44.715622Z digest=sha256:787748c82cc7bde6ad626ae923f47c872a4b46777a4060b2354df311a758da94

Observation 25f82278-027e-4216-acfd-b36e44e06566 · outbound

This paper cites Complexity-adaptive maximum-likelihood decoding algorithms with a successive cancellation schedule,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Complexity-adaptive maximum-likelihood decoding algorithms with a successive cancellation schedule,

Reference 17

Resolution
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raw_fallback, observed 2026-08-06T17:50:44.888543Z

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.

source=pdf_text observed=2026-08-06T17:50:44.717841Z digest=sha256:5e219986e82ffa108e42717f93e93a902b7c8d7f56d6863026123271e37f1b26

Observation e3a3b08c-c45f-4471-b339-b04fe9067c66 · outbound

This paper cites List decoding of polar codes,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel List decoding of polar codes,

Reference 18

Resolution
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raw_fallback, observed 2026-08-06T17:50:44.882422Z

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.

source=pdf_text observed=2026-08-06T17:50:44.720093Z digest=sha256:9f408192de90a8077a39555858064a0bf0935dc7c406fb3fa586133c39ecff83

Observation dc6be65c-dd13-4d17-a990-0b963c5d2a18 · outbound

This paper cites From sequential decoding to channel polarization and back again.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel From sequential decoding to channel polarization and back again

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T17:50:44.722338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:50:44.722338Z digest=sha256:3cdd1d0b4929c395d1b7220017fb3da2c91d10b78763bb46eb0e186be2c6a288

Observation b2d9779a-123b-4fde-84d5-8d7354aa0802 · outbound

This paper cites Polar subcodes,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Polar subcodes,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.874254Z

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.

source=pdf_text observed=2026-08-06T17:50:44.724787Z digest=sha256:cc28f1adbc19bb5d80408bcf66c6aca1aafa758844cec8acc235eebc2d34fb92

Observation bb8c0c78-432f-42d7-8121-ba0e88c0f8b0 · outbound

This paper cites List Decoding of Arıkan’s PAC Codes,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel List Decoding of Arıkan’s PAC Codes,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.867626Z

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.

source=pdf_text observed=2026-08-06T17:50:44.727082Z digest=sha256:3999e8496e38b9d4d78921fce905b3746ca62fde4501a0d7b0b96ff0ac21e8f0

Observation ded4e9cb-59bc-4e09-8240-901f50cdaf53 · outbound

This paper cites Polarization-adjusted convolu- tional (PAC) codes: Sequential decoding vs list decoding,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Polarization-adjusted convolu- tional (PAC) codes: Sequential decoding vs list decoding,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.861433Z

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.

source=pdf_text observed=2026-08-06T17:50:44.730937Z digest=sha256:0380a54d0f41e759c86616c6728f83d7c7ec67de36d49333cdebe82549c1492b

Observation 98004fca-b98a-4e1e-8c9a-7d87a3b6552d · outbound

This paper cites On Pre-transformed Polar Codes.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel On Pre-transformed Polar Codes

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:50:44.776760Z

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.

source=pdf_text observed=2026-08-06T17:50:44.733707Z digest=sha256:90db9c24b804e4e458b6e059514aaebafa9baa1dfff72a83ba11e327d266ae1a

Observation 0a580014-5fd2-4d06-bd20-6029a138a767 · outbound

This paper cites On the weight spectrum of pre-transformed polar codes,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel On the weight spectrum of pre-transformed polar codes,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.852422Z

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.

source=pdf_text observed=2026-08-06T17:50:44.736945Z digest=sha256:472efd1ebad057eaf31bc4aa59a66964a1cc5aed4a785ac39663ac60086b7839

Observation 34988874-543f-4dcf-9153-460949ea01b5 · outbound

This paper cites On the Minimum Weight Codewords of PAC Codes: The Impact of Pre-Transformation,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel On the Minimum Weight Codewords of PAC Codes: The Impact of Pre-Transformation,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.845212Z

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.

source=pdf_text observed=2026-08-06T17:50:44.740027Z digest=sha256:e15f7ca2a05365cd1271046987ae89e2ca1c54cab0907ab467599a439db4d13e

Observation 14037b3e-74a1-4e11-a4e2-8b2988da701d · outbound

This paper cites Channel coding rate in the finite blocklength regime,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Channel coding rate in the finite blocklength regime,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.836823Z

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.

source=pdf_text observed=2026-08-06T17:50:44.742274Z digest=sha256:f9fd4ce9559de8a5c474c957af8843c0eb5bf92be5d186d48e7a5b4886efbfdd

Observation c4588b17-69be-4ae1-975f-72b8a4fb5372 · outbound

This paper cites Coding in the Finite-Blocklength Regime: Bounds Based on Laplace Integrals and Their Asymptotic Approximations,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Coding in the Finite-Blocklength Regime: Bounds Based on Laplace Integrals and Their Asymptotic Approximations,

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.829949Z

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.

source=pdf_text observed=2026-08-06T17:50:44.744490Z digest=sha256:1a1d137f6b135c966264b0beb3d77a3e35cd40f573356a8258699e1fc3ddf66c

Observation 6473c0c2-0db1-4f47-9c08-0fd24b472e7b · outbound

This paper cites SPECTRE: Short-Packet Communication Toolbox,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel SPECTRE: Short-Packet Communication Toolbox,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.822208Z

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.

source=pdf_text observed=2026-08-06T17:50:44.746923Z digest=sha256:8f5c59b32541c6a4bba9ee4ecb471f07ac78022048fb766452ec5a2f791eb3d4

Observation 2d5c7de5-7a47-413a-92c7-802814854610 · outbound

This paper cites Recursive projection-aggregation decoding of Reed- Muller codes,.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Recursive projection-aggregation decoding of Reed- Muller codes,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.813047Z

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.

source=pdf_text observed=2026-08-06T17:50:44.749326Z digest=sha256:8aa056e88cb33be3728bd09e003b3650c7d0da666ce1d067826aa95ea7512251

Observation a7212b00-c7b6-47f6-8b8f-8336a124131e · outbound

This paper cites r1 ≤ mX i=1 Zi ≤ r2 # = P.

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel r1 ≤ mX i=1 Zi ≤ r2 # = P

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:50:44.802444Z

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.

source=pdf_text observed=2026-08-06T17:50:44.752156Z digest=sha256:ea0fb9cb205a2011199f4fb82dc5f4c9118602f44a619058a12bd03dd38a030a

Pith citing papers

No inbound Pith citation observations are available.