Paper Citation Record · LEDGER

Decoding Downset codes over a finite grid

As of 22 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.07215.

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

pith.paper-citation-record.v1
1908.07215 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:28:32.316502Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

14 of 14 outbound references displayed

verified exact0
verified fuzzy7
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 86022939-0fc7-4b99-9963-6eb0d6478375 · outbound

This paper cites Proof verification and the hardness of approximation problems.

Decoding Downset codes over a finite grid Proof verification and the hardness of approximation problems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T12:28:32.169962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f5ed874-97cc-4e33-956f-8020d0933ac8 · outbound

This paper cites Non-deterministic exponential time has two-prover interactive protocols.

Decoding Downset codes over a finite grid Non-deterministic exponential time has two-prover interactive protocols

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:28:32.734852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7ccaf281-9b82-4fe8-b53b-664ea29886a9 · outbound

This paper cites BPP has subexponential time simulations unless EXPTIME has publishable proofs.

Decoding Downset codes over a finite grid BPP has subexponential time simulations unless EXPTIME has publishable proofs

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:28:32.658685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2973b3cc-da72-4270-b99e-5097f00ee1f2 · outbound

This paper cites Ideals, varieties, and algorithms.

Decoding Downset codes over a finite grid Ideals, varieties, and algorithms

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:28:32.647364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b76ccbd4-aec1-43bc-b50b-13ede65f1d41 · outbound

This paper cites DeMillo and Richard J.

Decoding Downset codes over a finite grid DeMillo and Richard J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T12:28:32.189009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e129ad0-59c8-4540-be9d-6e73873220f4 · outbound

This paper cites David Forney Jr.

Decoding Downset codes over a finite grid David Forney Jr

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:28:32.628163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ec454ffa-28cf-47f4-94ab-c95356f072f0 · outbound

This paper cites Kim and Swastik Kopparty.

Decoding Downset codes over a finite grid Kim and Swastik Kopparty

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:28:32.518886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1d2b915e-7a7c-4dc2-a5f6-15af297c4274 · outbound

This paper cites Karloff, and Noam Nisan.

Decoding Downset codes over a finite grid Karloff, and Noam Nisan

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:28:32.474918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8f1f820a-09ea-4e93-9ff3-e27f463170f7 · outbound

This paper cites an unresolved cited work.

Decoding Downset codes over a finite grid Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:28:32.461704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dd9f7813-8f31-4845-9eb3-53def6b3d37d · outbound

This paper cites an unresolved cited work.

Decoding Downset codes over a finite grid Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:28:32.448291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 52768fbe-86ce-42a8-b39a-4ba85ec44c14 · outbound

This paper cites Schwartz.

Decoding Downset codes over a finite grid Schwartz

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T12:28:32.306920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3016ea79-3202-427a-9c6a-f8edb68211df · outbound

This paper cites IP = PSPACE.

Decoding Downset codes over a finite grid IP = PSPACE

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T12:28:32.309798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cedc16a-d0aa-4e39-ae92-e5a3949ab25c · outbound

This paper cites an unresolved cited work.

Decoding Downset codes over a finite grid Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:28:32.391085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7a6c9844-db61-40bc-ae0b-863858df81db · outbound

This paper cites Probabilistic algorithms for sparse polynomials.

Decoding Downset codes over a finite grid Probabilistic algorithms for sparse polynomials

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:28:32.350330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.