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Paper Citation Record · LEDGER

Identity Testing for Circuits with Exponentiation Gates

As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.04529.

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

pith.paper-citation-record.v1
2506.04529 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:03:19.862818Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 997ecade-a74f-4f9e-8be9-929d498c60d7 · outbound

This paper cites Primality and identity testing via chinese remaindering.

Identity Testing for Circuits with Exponentiation Gates Primality and identity testing via chinese remaindering

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:20.064676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.805308Z digest=sha256:12c1d3827806f4cf2b868c7f488442cd04ac37fd5223fd1a539b52ab943e1d59

Observation bdde61e1-2c7c-48fc-bd58-f83287ce61b7 · outbound

This paper cites Computational Complexity - A Modern Approach.

Identity Testing for Circuits with Exponentiation Gates Computational Complexity - A Modern Approach

Reference 2

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no resolver link, observed 2026-08-07T11:03:19.808694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:03:19.808694Z digest=sha256:0840d05b59d907ae63f183805fd46a55783d7635b421435e66eca6475f926c75

Observation 793ad185-3484-4767-a72b-7bea1db01ccd · outbound

This paper cites Probabilistic checking of proofs: A new characterization of NP.

Identity Testing for Circuits with Exponentiation Gates Probabilistic checking of proofs: A new characterization of NP

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:19.811514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:03:19.811514Z digest=sha256:6830851635c39b99ffba5f9c2518810ca8cc162a4817b79a287de41448277857

Observation f2af0938-447f-40f4-9db0-2f7a9489c89f · outbound

This paper cites Transcendental Number Theory.

Identity Testing for Circuits with Exponentiation Gates Transcendental Number Theory

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:20.044668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.814247Z digest=sha256:92581a63a2ff342afa9839010da6a16dad2e16361d3c5a63750daf293559e1ad

Observation c4627353-097a-47be-b574-398b1e61168c · outbound

This paper cites On the statistical properties of diffie-hellman distributions.

Identity Testing for Circuits with Exponentiation Gates On the statistical properties of diffie-hellman distributions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:20.036028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.817403Z digest=sha256:a7264be8362129a8de593e68badabd214525182742204c25e8ac651a1bddaa23

Observation 0d91061d-22a9-4a85-9e16-6a6a44388f56 · outbound

This paper cites Maurice Rojas, and Daqing Wan.

Identity Testing for Circuits with Exponentiation Gates Maurice Rojas, and Daqing Wan

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:20.027183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.820073Z digest=sha256:6e47031bc22c7442d12b00cc7e48d12a03e1929f1cb9a32c3b611cf8b7eaa694

Observation 0a9e3fe3-9f06-42fa-9fdd-ab2991cc9f18 · outbound

This paper cites Abstract algebra , volume 3.

Identity Testing for Circuits with Exponentiation Gates Abstract algebra , volume 3

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:19.822993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:03:19.822993Z digest=sha256:0183d00a6d33e00367af8c48aa98ce6f6d44c8eb0a761a4d7803aea50adf734b

Observation 7c525331-5ba8-400e-b13d-e602b172e02f · outbound

This paper cites DeMillo and Richard J.

Identity Testing for Circuits with Exponentiation Gates DeMillo and Richard J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:20.012934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.825491Z digest=sha256:d0021d772f8ff97ccce7e6792495bd01f7b4c6af47df9c0066ec0699870c85b3

Observation f33a83ec-432c-4fbb-b863-f2225a7b1179 · outbound

This paper cites Roots of sparse polynomials over a finite field.

Identity Testing for Circuits with Exponentiation Gates Roots of sparse polynomials over a finite field

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:20.004333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.828157Z digest=sha256:516bfca8996d836d7e41e43e620c30f13cbfe2edd51474dd7929bd96adc31854

Observation b74fe4e7-6c56-4324-92b0-a379e4bb82eb · outbound

This paper cites On determinants, matchings, and random algorithms.

Identity Testing for Circuits with Exponentiation Gates On determinants, matchings, and random algorithms

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:19.995369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.830594Z digest=sha256:9870213d7d37aea0adf1c48f8deab5abd293ce7e3bbae1167e7080fa1401b73c

Observation 5b1d9cd1-2a34-4c40-9006-105e4147734a · outbound

This paper cites Analysis of Boolean Functions.

Identity Testing for Circuits with Exponentiation Gates Analysis of Boolean Functions

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:19.833105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:03:19.833105Z digest=sha256:e870816eefdf0647f78cddbeb51e57f6c3a78997296ba59293b58ca32a4b9ec2

Observation 2a25ec56-62df-41d4-9ed0-df3ccd065412 · outbound

This paper cites U ber h \.

Identity Testing for Circuits with Exponentiation Gates U ber h \

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:19.980677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.835608Z digest=sha256:86cc174b2a9a01bd632c57a6d9ddd6b297206ed9db7408e6fecf2918f1e92fed

Observation bb815505-0222-4f41-9639-08ea08a6d62d · outbound

This paper cites Progress on polynomial identity testing.

Identity Testing for Circuits with Exponentiation Gates Progress on polynomial identity testing

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:19.971952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.838586Z digest=sha256:1c9b329f53824b03849be039d305186fea73bcf437cc157a662e75ac70bdbb47

Observation 5e507235-30a2-4be6-839d-77b701452fd8 · outbound

This paper cites Progress on Polynomial Identity Testing - II.

Identity Testing for Circuits with Exponentiation Gates Progress on Polynomial Identity Testing - II

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:03:19.913576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.841187Z digest=sha256:7d52e8cc56c4f9b22346905aac665e973cbc3dfc934736fe01b6f098eb1eb8bc

Observation c5d5d7cc-af68-43f1-ac02-02cb1583e690 · outbound

This paper cites Schwartz.

Identity Testing for Circuits with Exponentiation Gates Schwartz

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:19.963555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.844101Z digest=sha256:dd80571d0f1ff125b784233473a86a5b67bf7c981e91ed9c00b82f45d708fed0

Observation 2079dabd-e9e3-438d-82d6-dc919aad02f3 · outbound

This paper cites IP = PSPACE.

Identity Testing for Circuits with Exponentiation Gates IP = PSPACE

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:19.954915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.846668Z digest=sha256:018b439cd5f211193e9e8c32060d1b1872ecf6c5cbf02ed3d00b0add17b6118a

Observation eb1a43e7-bdc8-4932-9618-e3841b4da468 · outbound

This paper cites GLU Variants Improve Transformer.

Identity Testing for Circuits with Exponentiation Gates GLU Variants Improve Transformer

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:19.849191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:03:19.849191Z digest=sha256:7f72061d4ce6010daa68e8072f073bf1fbf69ea7ba10e7c547cd7d510b3a814a

Observation 56078e37-de33-4f94-9081-4f721f28088b · outbound

This paper cites The factorization of linear graphs.

Identity Testing for Circuits with Exponentiation Gates The factorization of linear graphs

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:19.946808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.851770Z digest=sha256:39fb5b9c8a4b8345070eec69af5a8c9ef26233f3cb67832c3cdb44532a63a7d0

Observation d6d98aa6-5463-4d1b-8cdf-e1e2920a4527 · outbound

This paper cites Attention is all you need.

Identity Testing for Circuits with Exponentiation Gates Attention is all you need

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:19.854250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:03:19.854250Z digest=sha256:4b9a6d5faf0660c5b64f082b8837ac91999d9ae0de1f3625d7959ec017ac3ec6

Observation d4b875e8-2c94-4149-9a8c-780e30d38d07 · outbound

This paper cites Mirage: A Multi-Level Superoptimizer for Tensor Programs.

Identity Testing for Circuits with Exponentiation Gates Mirage: A Multi-Level Superoptimizer for Tensor Programs

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:19.856819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:03:19.856819Z digest=sha256:0f91c9d5c64a5c667ff67a5f4e4f68f8724be9023995ca8d46d78ea6c2ed1398

Observation d06f8387-248f-4dd2-a4f1-f2f3bb040c26 · outbound

This paper cites PET : Optimizing tensor programs with partially equivalent transformations and automated corrections.

Identity Testing for Circuits with Exponentiation Gates PET : Optimizing tensor programs with partially equivalent transformations and automated corrections

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:19.932616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.860042Z digest=sha256:4c53c9447e7e57fc363a8a5a550c6678fee61dc199ab3278c9bac6eb814d9fe4

Observation 14d6c9c6-519d-48f0-b6a8-a9018851d9f4 · outbound

This paper cites Probabilistic algorithms for sparse polynomials.

Identity Testing for Circuits with Exponentiation Gates Probabilistic algorithms for sparse polynomials

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:19.923606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Pith citing papers

No inbound Pith citation observations are available.