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Paper Citation Record · LEDGER

Identity Testing for Circuits with Exponentiation Gates

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.805308Z digest=sha256:d80d519c1ba08c0f2f23d30a23086d937c6308dd81f42fead56b66af2c892755

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=sha256:08cb082b1983f03fcc8eb88641093faecfaf2b97b48f38889e7df1249ffc1ce0

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=sha256:7571506ce6c826149ff063a5c2b603ec847954b081572dead36705cacfb71a80

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.814247Z digest=sha256:e875a2cf6ec0a37ca3a94186b0882040eef5670a6286042357e92d9ee789af5b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.817403Z digest=sha256:2fb42154cc41f6708e37ddd1115c57e6e0e60aba38b4adaac5e850321dbcc0f3

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.820073Z digest=sha256:14d6aaacfd163644259f45df1f7bd3b2244491220784fdb0ba7446d23dd80c99

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:f1da08071826cb981d541ddcebf1412c28dd5f11265c6d54cee52f5624548052

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.825491Z digest=sha256:7f1efe5350c3bbb21b822d8e89c99838e213228c88de26378fbc0f25feea6736

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.828157Z digest=sha256:4175738d90323983c25f49a59aba72f64480e5bbe44801443600f45559c75497

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.830594Z digest=sha256:9ea8c846f912158bd0e9739f1eb1e28c736450d7d6635f1598e2c0eb71fdcb43

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=sha256:2c6e3562f45750282caeae6acad9aa905ff77d4f67311d024dd597685eb54f8f

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.835608Z digest=sha256:48f75241301c9e2435f4879602ad7fa33c561940f0b3b4f3db3207da36ba28f4

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.838586Z digest=sha256:11b56c28c388e1aeae30ee7c03c4464ad76d6a62c9cdd7a2d4cdd403bf64df7e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.841187Z digest=sha256:a47749b409b4c0d5fa1e2be330ddc26429593b001cba61b12e9acf781ee269b9

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.844101Z digest=sha256:58de289d46dd8e6de6a3efc27685df4022c7b3ecd259d2f97e7d3ac202f69b4f

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.846668Z digest=sha256:7d7238bfbb0046da8e3d21957eb41d31d4d200f341651bdb40268c43f122f080

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=sha256:5cbfc6ed1f8f0ddd7acc8855de8a78f271ca5c15d80519d576f0a47d96512cc8

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.851770Z digest=sha256:fdcf014cc992b62ed721ad5e1e30e9f80f41ebf8fe0856af7266ec16b8f6024e

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=sha256:1a120f4e947871541265b77048eb6d8dc7f559d15c549776a1c25f15a66a3a66

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=sha256:497af3f88a77e2277a0ae861705633992afc4af70c2092586dc9a36a562e2b8b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.860042Z digest=sha256:5c6ddbe090dac5367404264ad6a33ba4bd367f720bb29af6c706084a44480152

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T11:03:19.862818Z digest=sha256:a3bd45566132f2526ed132048085d19043d1151e9f3dd54adc2191b4eebd5707

Pith citing papers

No inbound Pith citation observations are available.