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Paper Citation Record · LEDGER

A Note on Small Percolating Sets on Hypercubes via Generative AI

As of 18 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 3 inbound Pith citation observations for arXiv:2411.19734.

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

pith.paper-citation-record.v1
2411.19734 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:59:38.526496Z

measured 12 of 12 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:51:29.846368Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T10:19:20.014223Z

Reference resolution

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 86b108fd-0d8a-4389-8f3c-cb747ae716f9 · outbound

This paper cites Balogh and B.

A Note on Small Percolating Sets on Hypercubes via Generative AI Balogh and B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:59:38.651070Z

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=2026-08-12T05:59:38.488966Z digest=sha256:5e73c72c90d2fc1fe970bd49fcc3bee400a2bfb0d82abe118f44ae274ad89e55

Observation e3110f0c-8798-4058-a408-752cd2834198 · outbound

This paper cites Bootstrap percolation in high dimen- sions.

A Note on Small Percolating Sets on Hypercubes via Generative AI Bootstrap percolation in high dimen- sions

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:59:38.639690Z

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=2026-08-12T05:59:38.493499Z digest=sha256:86bbe239d578ce3b9d670a7aa1db02e7fb810fd0b2c99627b9a1d0e4fbeafe71

Observation 3c9c0de3-9623-4ee7-a9fe-f24232c6817a · outbound

This paper cites Linear algebra and bootstrap percolation.

A Note on Small Percolating Sets on Hypercubes via Generative AI Linear algebra and bootstrap percolation

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-12T05:59:38.498176Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:59:38.498176Z digest=sha256:88e79f6b734674ea90c25fd9589379fd42e4010e5f0c54521610ee5a3981d09d

Observation 833543af-75cc-4f07-b00a-8e97e3ff0a00 · outbound

This paper cites Chalupa, P.

A Note on Small Percolating Sets on Hypercubes via Generative AI Chalupa, P

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:59:38.621416Z

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=2026-08-12T05:59:38.502926Z digest=sha256:03fff32818fc659baffc3b79f786c7fb900fcdea7e98a55375efe30af595493b

Observation 783e196b-b813-4fd9-8676-31286f9da201 · outbound

This paper cites PatternBoost: Constructions in Mathematics with a Little Help from AI.

A Note on Small Percolating Sets on Hypercubes via Generative AI PatternBoost: Constructions in Mathematics with a Little Help from AI

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T05:59:38.507445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:59:38.507445Z digest=sha256:cd3749e23761ee78ee74914cc7034acd70c85253ec5995cef856745363929369

Observation fc0e5d50-a110-4aef-9764-cb8d18dc7f02 · outbound

This paper cites On a limit theorem in combinatorial analysis.

A Note on Small Percolating Sets on Hypercubes via Generative AI On a limit theorem in combinatorial analysis

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:59:38.609414Z

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=2026-08-12T05:59:38.513502Z digest=sha256:ce0d1de90f8faae21ffd3d9aee5ed57f0540d9520e357a8bb177683cd008dbfe

Observation 2b496a29-69b1-4187-b34b-c3c021752a17 · outbound

This paper cites The existence of designs.

A Note on Small Percolating Sets on Hypercubes via Generative AI The existence of designs

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-12T05:59:38.518248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:59:38.518248Z digest=sha256:06d415114e572ad9403ad3babe8cdf36d5002c98907f536a55108de18865466c

Observation 64dd532d-6b4a-48eb-ac83-a38aa05c6ba2 · outbound

This paper cites Extremal bounds for bootstrap percolation in the hypercube.

A Note on Small Percolating Sets on Hypercubes via Generative AI Extremal bounds for bootstrap percolation in the hypercube

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:59:38.596347Z

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=2026-08-12T05:59:38.522413Z digest=sha256:5f2e0a3715add6bcbe0118c6f67fb5bbfb422bdd96d260c1bcbe99158fb9b1f2

Observation 1e37c76e-b043-410f-864d-e90ea6d5ca8b · outbound

This paper cites an unresolved cited work.

A Note on Small Percolating Sets on Hypercubes via Generative AI Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:59:38.582109Z

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=2026-08-12T05:59:38.526496Z digest=sha256:77300392275d2e5ff03e138c9c4068f30cb00a094ba2132b139fa05d6ec05e78

Pith citing papers

Observation f3d0545a-b888-41d3-9192-46a0db8a9413 · inbound

Formal Mathematical Reasoning: A New Frontier in AI cites this paper.

Formal Mathematical Reasoning: A New Frontier in AI A Note on Small Percolating Sets on Hypercubes via Generative AI

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-11T10:51:29.846368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:51:29.846368Z digest=sha256:0508467c5505011e629b9bba157452bae1023a193eeb5948d87a4aa514b471ad

Observation 0d6f407c-ba76-43fc-b3fe-f2950eeff7f6 · inbound

Neural Discovery in Mathematics: Do Machines Dream of Colored Planes? cites this paper.

Neural Discovery in Mathematics: Do Machines Dream of Colored Planes? A Note on Small Percolating Sets on Hypercubes via Generative AI

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-09T23:13:21.458076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T23:13:21.458076Z digest=sha256:a395f536f2179409e1f04f03ba14da37ff6b2cb6b5a99a0907415221ca209b6b

Observation 741ba536-375e-4bbe-bdb3-6bbcd1d869f9 · inbound

Optimal and Near-Optimal Constructions for Bootstrap Percolation in Hypercubes cites this paper.

Optimal and Near-Optimal Constructions for Bootstrap Percolation in Hypercubes A Note on Small Percolating Sets on Hypercubes via Generative AI

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-10T10:19:20.016628Z

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=2026-05-10T10:17:50.855361Z digest=sha256:e17b85f408d3e6d04b4cd0ef98ee44093c573f1f9ae500706fb7a90e1f5a021a