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Paper Citation Record · LEDGER

Neural Interactive Proofs

As of 22 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2412.08897.

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

pith.paper-citation-record.v1
2412.08897 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:38:31.931378Z

measured 16 of 16 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T01:34:45.323277Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b1825095-0d52-4a6b-993c-57501fd367a7 · outbound

This paper cites The pairs are divided equally between the different graph sizes and edge probabilities.

Neural Interactive Proofs The pairs are divided equally between the different graph sizes and edge probabilities

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:38:32.436899Z

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=2026-08-11T17:38:31.899607Z digest=sha256:9486b5f2174e2c4969e08cb8d0dc1e3fe91773213d75464ccacfcbf4110a8866

Observation efc7bbe0-bdd9-48c1-86ba-27040e8c188e · outbound

This paper cites an unresolved cited work.

Neural Interactive Proofs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:38:32.468866Z

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=2026-08-11T17:38:31.888723Z digest=sha256:9e44a57d222e35cc8429e2789ba9b57593cab2765f537bbe04445fe94e961acc

Observation 592d1774-33ff-4e32-8873-41dae4d7b785 · outbound

This paper cites an unresolved cited work.

Neural Interactive Proofs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:38:32.845872Z

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=2026-08-11T17:38:31.867494Z digest=sha256:ff9ddad2a8860ac242d83412c095099e94fe742fc3c6e3c1dcbe7b35800fa8fa

Observation a6b15384-f20c-4c03-9bd5-e33c06fffbe0 · outbound

This paper cites abcabc" for ‘n=6‘, ‘k=3‘ and.

Neural Interactive Proofs abcabc" for ‘n=6‘, ‘k=3‘ and

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:38:32.159686Z

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=2026-08-11T17:38:31.931378Z digest=sha256:63125a8ba7aeaf06ceca3880832cef21a9026b2b1d52e1ac70a9a5736e76772d

Observation 66ffc303-64f4-4bfa-a14b-b4eb8107e4b0 · outbound

This paper cites an unresolved cited work.

Neural Interactive Proofs Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:38:32.697684Z

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=2026-08-11T17:38:31.877765Z digest=sha256:e421498f08ae7606c4b70481a368bed552477d4a1edf09d31bf1dafdc35af4a8

Observation 4bd07330-5505-40e5-87f9-70dd7d6f9e55 · outbound

This paper cites an unresolved cited work.

Neural Interactive Proofs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:38:32.557568Z

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=2026-08-11T17:38:31.883036Z digest=sha256:1a51261edd65599077f2f1c047b9a1c810a581e30ab3688c7c20e665a554ecb7

Observation 945a6977-c202-4157-abe5-31e03a654364 · outbound

This paper cites Thus, by applying a union bound, we have that LWC(σER D ) − LWC(σWC) ⩽ ϵ 2 + ϵ 2 + ρ(D) + 0 = ρ(D) + ϵ with probability at least 1 − δ, as required.

Neural Interactive Proofs Thus, by applying a union bound, we have that LWC(σER D ) − LWC(σWC) ⩽ ϵ 2 + ϵ 2 + ρ(D) + 0 = ρ(D) + ϵ with probability at least 1 − δ, as required

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:38:32.452683Z

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=2026-08-11T17:38:31.893579Z digest=sha256:7b5ad846af2e0ef6d808dcf1e0cebaec538a52116180040a0c9c043c1f3f902a

Observation f9213cbb-8aa4-436d-941f-a5f6f8a25e55 · outbound

This paper cites The intuition behind the equilibrium (δp 3 , σv † ) is that the larger the probability mass on the setting when x = 3 (i.e.

Neural Interactive Proofs The intuition behind the equilibrium (δp 3 , σv † ) is that the larger the probability mass on the setting when x = 3 (i.e

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:38:32.828203Z

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=2026-08-11T17:38:31.872634Z digest=sha256:4a882efaf21a5d99c69feb54255ec36d54191db6736beb3f228b9623e8e2bb56

Observation 9111daef-0fe5-4394-b16d-5c1ab977f2ed · outbound

This paper cites an unresolved cited work.

Neural Interactive Proofs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:38:32.420618Z

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=2026-08-11T17:38:31.905126Z digest=sha256:21f160e59c0dba4f24cc294f0bf224b6deab69aa9aafb5b07bd6dfea6a9c576c

Observation 6a57b684-c366-475e-8cf2-c51e8b0449db · outbound

This paper cites Verifier.

Neural Interactive Proofs Verifier

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:38:32.404649Z

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=2026-08-11T17:38:31.910077Z digest=sha256:73b55c75d9492b3cf2d12d4232470a4a4fc49f87b2152fa5ccd43310f117427b

Observation fc19c1c9-2adc-433a-b069-cd0d9fbaa740 · outbound

This paper cites an unresolved cited work.

Neural Interactive Proofs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:38:32.388543Z

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=2026-08-11T17:38:31.916118Z digest=sha256:c3552cf94111ba843b935b8ecb0f883f169d0051250906a08631e52b1bba185a

Observation 70cbaa71-2535-4612-91dd-2b34c8734561 · outbound

This paper cites an unresolved cited work.

Neural Interactive Proofs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:38:32.373427Z

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=2026-08-11T17:38:31.921814Z digest=sha256:e10dd43d2cd97d16805636dfbfe53428fc4224074f8d29a690f90caa310b87a1

Observation 977fc79a-b5be-4910-aebb-3cafcea68082 · outbound

This paper cites an unresolved cited work.

Neural Interactive Proofs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:38:32.233759Z

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=2026-08-11T17:38:31.926529Z digest=sha256:3cd8f1f1c9f9f233926f09cab6c3b3307a64e86b1033724c2677008bfa8e538b

Observation 824e94e6-341e-42e4-9d7a-6bdc10d94fee · outbound

This paper cites Noga Amit, Shafi Goldwasser, Orr Paradise, and Guy Rothblum.

Neural Interactive Proofs Noga Amit, Shafi Goldwasser, Orr Paradise, and Guy Rothblum

Reference 1999

Resolution
unresolved
no resolver link, observed 2026-08-11T17:38:31.746600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:38:31.746600Z digest=sha256:50c89f5d953a77668909717aec7b4cb71e047989da3ba6e4c08498ae1b4b83aa

Observation 11a681a6-cf06-433b-9861-7b6ff4927ff2 · outbound

This paper cites In this work we help bridge the gap between these theoretical and empirical extrema, albeit in the specific context of prover-verifier games.

Neural Interactive Proofs In this work we help bridge the gap between these theoretical and empirical extrema, albeit in the specific context of prover-verifier games

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:38:32.862625Z

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=2026-08-11T17:38:31.841949Z digest=sha256:bc70ad9ffe35541cdf91cb53fdbfe509ac14162dace288a27d3e0f7c1d4e4acf

Pith citing papers

Observation 015756c0-d47b-4743-82ee-262561cbdc22 · inbound

How to Avoid Debate: Scalable AI Safety via Doubly-Efficient Interactive Proofs cites this paper.

How to Avoid Debate: Scalable AI Safety via Doubly-Efficient Interactive Proofs Neural Interactive Proofs

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-12T01:34:45.323277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T01:34:45.323277Z digest=sha256:0ccdeea94223cf9165b3c8a8c1073a22725d772d3b6f59e374cc0e952a8033af