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Paper Citation Record · LEDGER

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

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.674380Z digest=sha256:b4fe59c7dd4260fe0cdecd85bf20baa365545659f2ad4f4353f6acb16bfc43c9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.677897Z digest=sha256:d631e0959b181d2d6c2df64156cf9ff79f6d3f0c71bb19e56fd8f75843ab1848

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

Resolution
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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.681396Z digest=sha256:7f1fb0ebbb4b5046ca1a9357a267c1f391f1308be6bc1131d98bd4286b290387

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

Resolution
verified fuzzy
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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.683691Z digest=sha256:cb9a68cfb1e6138e1927d93a4eefb6e4bd211e4f14db3cd51fe36cb31a388e76

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

Resolution
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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.686550Z digest=sha256:a60177fb016ebe85d3f23c923910ad05963244da32c5c4bca96cb8eac7efda81

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.690274Z digest=sha256:0646d211182aeda8b303d8f8cda7f1df6462a943493eafd7831e8b0d0c32fd50

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

Resolution
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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.692945Z digest=sha256:2a6b2dcff8ace06645099ec40b703a355613fb28bc52885da118d3b53f185fe3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.695900Z digest=sha256:699ac33416b67691ef8bef708be2491c65d9ea2bb8dc6f9ce7548139ade387ae

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.698326Z digest=sha256:2e9d7d29a7bb61bc76b351569bbc3ebee5af31490af30403dcb6a247ce091906

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.700520Z digest=sha256:69a08880aba2ba6b8a7791579774a9ae72c5ed752a9ab0929e2b29ce10e2fbbc

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.702692Z digest=sha256:d830b2005ce459f560c6fd583a2c090e7f7d2508f2e318f1ba8ba98444bef7dc

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.705409Z digest=sha256:a711d160c87d7ff3e62924e7bee2e5866dbd22c8aa00f99bba4e48080c8d0283

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.708435Z digest=sha256:372f5ff586280a0cb6a6fc52990cd88392d746f8565c003b32abb4bfc1920999

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.711033Z digest=sha256:4b166464073870ddec4d58b0719f8201e5447206e85069a7f5b115408080e093

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.713331Z digest=sha256:f37b96f4efc98545c243daca66980d039c088866b90b10e1e02b7e9eb28bcd8a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.715622Z digest=sha256:79e50076cebb045c98c751259c5c36c269522694a90f67d4198c007b2c6f7c9e

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
verified fuzzy
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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.717841Z digest=sha256:b1f5b5c1c8b8ffeb53713b71f6bd31174d6dcea28d6f6082102eafeaeb2615f6

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
verified fuzzy
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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.720093Z digest=sha256:8399c90213d03b7f012047a6bf665a7abc8bec06ba8c2e59f93b7657227030b3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.724787Z digest=sha256:638028323ebdb77dd698196473cf6504eba8044a55a506cf79aa0a799b5b3d32

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.727082Z digest=sha256:a41b99048dc417660e50fe258c2e6f71fa12990a97726bade4a335d7fac27274

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.730937Z digest=sha256:f4bb033034d962af08d431c0e653f7a7fe2aee41f32111b66e458cc0de923fa9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.733707Z digest=sha256:fb4984fa0a213e6b6dcf5f908141e62094612c05fdaf2b5eca032faf5a0638c5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.736945Z digest=sha256:af036a70ab9cefaf6646e90b5cb3d05d39ee7068d440a020d3d0962b13488cfe

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.740027Z digest=sha256:f8233ce0d53fc2c27bb620fbf7d5c75dc1695a5944354e8629142ded7c822622

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.742274Z digest=sha256:47818f4428e9570d4b32bab7a6d03e2b6a55578556d9e08add8d63ca10283341

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.744490Z digest=sha256:5edcf0bf6d51a7cc09d24c7ca0ffd25f91b10b09fb3a98858d48600827e4acc4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.746923Z digest=sha256:a49e0e026c2cb84c7646bad730981ac5669ab336195d8fced85f16b71d8446b4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.749326Z digest=sha256:e90ed32d51814089afeae6801f3f8628a1b71732f436c2f751168b881b7a1d7b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:50:44.752156Z digest=sha256:b2c463a84124138a30d4c03193ffb7c8eb7d53d8ce811ffe008ba955f84bb95a

Pith citing papers

No inbound Pith citation observations are available.