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Paper Citation Record · LEDGER

A General Framework for Low Soundness Homomorphism Testing

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2509.05871.

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

pith.paper-citation-record.v1
2509.05871 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:30:42.071879Z

measured 15 of 15 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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy3
  • unresolved7
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c23b66c-92eb-4be1-96da-fbadca7aca9a · outbound

This paper cites Quasirandom groups.

A General Framework for Low Soundness Homomorphism Testing Quasirandom groups

Reference 7

Resolution
malformed identifier
local_arxiv, observed 2026-08-15T16:30:42.294031Z

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.

source=pdf_text observed=2026-08-15T16:30:42.021940Z digest=sha256:67f7e3d18c0ade4b9c62abba57d0d2e482359482e8a523182a39e9d393e7ac78

Observation a6933eab-0f23-480a-a927-27ce272a6ec5 · outbound

This paper cites 28 [ISS07] Gábor Ivanyos, Luc Sanselme, and Miklos Santha.

A General Framework for Low Soundness Homomorphism Testing 28 [ISS07] Gábor Ivanyos, Luc Sanselme, and Miklos Santha

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:30:42.540610Z

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.

source=pdf_text observed=2026-08-15T16:30:42.033795Z digest=sha256:16a8f8419b1138bbad43ecb3ea04d7de4d429a60f7c9575346e84021cd7ac1af

Observation c61bf119-cde9-451b-86f1-ee97e6818a1e · outbound

This paper cites An efficient quantum algorithm for the hidden subgroup problem in extraspecial groups.

A General Framework for Low Soundness Homomorphism Testing An efficient quantum algorithm for the hidden subgroup problem in extraspecial groups

Reference 10

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T16:30:42.267141Z

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.

source=pdf_text observed=2026-08-15T16:30:42.039232Z digest=sha256:8457f0f67b821f73bacb658a5b0aec31f4b18b247aadd65ab503c7a21c7e7e91

Observation 9cf6eb5e-bc8a-44d3-a846-82cd7cdd5019 · outbound

This paper cites 1, 2, 3, 4, 19 [LS74] Vicente Landazuri and Gary M Seitz.

A General Framework for Low Soundness Homomorphism Testing 1, 2, 3, 4, 19 [LS74] Vicente Landazuri and Gary M Seitz

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T16:30:42.051851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:30:42.051851Z digest=sha256:535bbb9cb98b48e7e2f36cc8d52d3645c9f5e01f8af8ce00890085fab44a70ad

Observation a4ea3939-e620-4b6f-84dc-083b7f9bc358 · outbound

This paper cites 5 [BK21] Amey Bhangale and Subhash Khot.

A General Framework for Low Soundness Homomorphism Testing 5 [BK21] Amey Bhangale and Subhash Khot

Reference 2003

Resolution
unresolved
no resolver link, observed 2026-08-15T16:30:41.980022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:30:41.980022Z digest=sha256:52dc010c32501150033822e991012c928dd2f20ce4e63ca882b4e8c7f09283cd

Observation f947d78e-b4b6-4b52-a3a5-f19ed31b29e6 · outbound

This paper cites 2 [Gop13] Parikshit Gopalan.

A General Framework for Low Soundness Homomorphism Testing 2 [Gop13] Parikshit Gopalan

Reference 2006

Resolution
unresolved
no resolver link, observed 2026-08-15T16:30:42.009447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:30:42.009447Z digest=sha256:a88872cb06465fdfaeae13028bf7f388fffa584192c84c29afc6c63a30420e37

Observation b6c9246d-efbc-405b-942d-979ff704660d · outbound

This paper cites 1, 2 [BSVW03] Eli Ben-Sasson, Madhu Sudan, Salil P.

A General Framework for Low Soundness Homomorphism Testing 1, 2 [BSVW03] Eli Ben-Sasson, Madhu Sudan, Salil P

Reference 2007

Resolution
unresolved
no resolver link, observed 2026-08-15T16:30:41.990789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:30:41.990789Z digest=sha256:a1647f357f9c1c3d062dee1478480577afb3b7ab863a92fa8396f0dcdc2f9248

Observation f2643633-37d5-4f4f-8d93-a70702d3b3a3 · outbound

This paper cites 3 [DSW06] Irit Dinur, Madhu Sudan, and Avi Wigderson.

A General Framework for Low Soundness Homomorphism Testing 3 [DSW06] Irit Dinur, Madhu Sudan, and Avi Wigderson

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-15T16:30:42.003371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:30:42.003371Z digest=sha256:b2ae2a71342deace507dac46c53659f0f9770f57083873c90bcf362bf97582ef

Observation 70648a8e-fba3-4402-b7ac-ff35bad8f2cd · outbound

This paper cites 7 [DGKS08] Irit Dinur, Elena Grigorescu, Swastik Kopparty, and Madhu Sudan.

A General Framework for Low Soundness Homomorphism Testing 7 [DGKS08] Irit Dinur, Elena Grigorescu, Swastik Kopparty, and Madhu Sudan

Reference 2010

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:30:42.582803Z

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.

source=pdf_text observed=2026-08-15T16:30:41.997347Z digest=sha256:5950915779c0aea1287dc48493c40cb37472e831acc6ddbba0580ef4e1ef67d0

Observation 5a4dce4f-1d12-4e99-8e86-68e05fb48adb · outbound

This paper cites On the Bogolyubov-Ruzsa lemma.

A General Framework for Low Soundness Homomorphism Testing On the Bogolyubov-Ruzsa lemma

Reference 2012

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:30:42.183992Z

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.

source=pdf_text observed=2026-08-15T16:30:42.071879Z digest=sha256:c8e4761bc339547cd64782e1120eedc31c6e030f7eaeeda5fba3d9a96ae24029

Observation 8cd1a8a2-e4e3-4da9-baa9-c154303d5bd9 · outbound

This paper cites an unresolved cited work.

A General Framework for Low Soundness Homomorphism Testing Unresolved cited work

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-15T16:30:42.015841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:30:42.015841Z digest=sha256:c3e872d7ab24126821b77787098df143d19c389fcc45cdc5d34c7c3da70c0db5

Observation f43220c2-e9f2-43a1-a2de-c15449d7ac8d · outbound

This paper cites 4230/LIPIcs.APPROX-RANDOM.2014.737.

A General Framework for Low Soundness Homomorphism Testing 4230/LIPIcs.APPROX-RANDOM.2014.737

Reference 2014

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:30:42.562357Z

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.

source=pdf_text observed=2026-08-15T16:30:42.028228Z digest=sha256:ac30e8b870e5a58e512af1f3afa9fd88d60aee95b4799afc36f791e9a6d89b14

Observation f2ab51ca-41cf-4288-a61d-238ee8b1b48d · outbound

This paper cites Approximate Representations and Approximate Homomorphisms.

A General Framework for Low Soundness Homomorphism Testing Approximate Representations and Approximate Homomorphisms

Reference 2015

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T16:30:42.239233Z

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.

source=pdf_text observed=2026-08-15T16:30:42.059831Z digest=sha256:25518bc78df462b2a48d68d9e2dee2775a05d6da0402b80fc1f07c4710a1d8e8

Observation f8a1af00-61d0-4a09-be38-9bd9666f1a84 · outbound

This paper cites Testing Properties of Functions on Finite Groups.

A General Framework for Low Soundness Homomorphism Testing Testing Properties of Functions on Finite Groups

Reference 2016

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T16:30:42.211338Z

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.

source=pdf_text observed=2026-08-15T16:30:42.066239Z digest=sha256:6dd543b466f53d67e5633cdbc88f84b6dc287308c6332e96bee5cf10298099b2

Observation d8c576f0-eb5c-4310-a49e-60644060a5b1 · outbound

This paper cites 1 [Kiw03] M.

A General Framework for Low Soundness Homomorphism Testing 1 [Kiw03] M

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-15T16:30:42.044909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:30:42.044909Z digest=sha256:34f4facd37d2aef4a7ffa27bf83ae96c3499f28badb39c18048c7ab9dbd8cd6f

Pith citing papers

No inbound Pith citation observations are available.