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Paper Citation Record · LEDGER

Neural Interactive Proofs

As of 19 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T17:38:31.899607Z digest=sha256:125fddeb08b9fecb1ec6e8b257100697b849d4291a3f92b14558ad73a4e47b05

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

source=pdf_text observed=2026-08-11T17:38:31.888723Z digest=sha256:4e707d72816dbcc05f091489332945380690aaf0d6aa732a4293a28e66f7944b

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

source=pdf_text observed=2026-08-11T17:38:31.867494Z digest=sha256:3458f144f5c8f05dbd5cbe8288acef86cb0360624134a079c47909c37541d290

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

source=pdf_text observed=2026-08-11T17:38:31.931378Z digest=sha256:9f35db9846e68570e04d0b54b8d29bde5035396ee971646a322bd72489b1a9e6

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

source=pdf_text observed=2026-08-11T17:38:31.877765Z digest=sha256:795fd2440dd1ae14490272e348eef07d53e90999c3a831197e8772127d969d1a

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

source=pdf_text observed=2026-08-11T17:38:31.883036Z digest=sha256:e77ce0cc6c711dbd23c7c3b6dbfed762cb7247664f374dbfeb5380c7c56e0266

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

source=pdf_text observed=2026-08-11T17:38:31.893579Z digest=sha256:1c6318504d9ccb1781eb0b3fd3561dbeae2716d3b1c2d160e6d9eb7cd763cd27

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

source=pdf_text observed=2026-08-11T17:38:31.872634Z digest=sha256:5897f58fd1664d66c7cbffd527f03d14cc1e4dead5c9386feee8ee5bf7b69317

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

source=pdf_text observed=2026-08-11T17:38:31.905126Z digest=sha256:d20df8e7ca2825cc6b7fa60fbc06b7657c58c5656ab9c172f8e49a57e3e3678f

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

source=pdf_text observed=2026-08-11T17:38:31.910077Z digest=sha256:cd7463cd000e07bdc6923e65a64ca8c951d4a67f8ea87e4f9fe4707d26ec4c6a

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

source=pdf_text observed=2026-08-11T17:38:31.916118Z digest=sha256:0180ff5eeb75331f76f665ca22b3766615e8409af3bc8f3224eeeee1f36fb467

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

source=pdf_text observed=2026-08-11T17:38:31.921814Z digest=sha256:71f767c350e8ff78cd5b6aa0940785ab389c3fa5279894db029d9a394a70a439

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

source=pdf_text observed=2026-08-11T17:38:31.926529Z digest=sha256:965caed88e72a0b4dc50c6ea95f11d0a5ca938fb7242c258b11fc1a6ca206767

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

source=pdf_text observed=2026-08-11T17:38:31.841949Z digest=sha256:91efaf1c126c35a40cb813742f8242220a1cffac00c08b21ca6311d7e46f1557

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