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Paper Citation Record · LEDGER

Hypercube minor-universality

As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2501.13730.

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

pith.paper-citation-record.v1
2501.13730 v3

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:59:29.419348Z

measured 15 of 15 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:03:41.852668Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T15:03:41.939625Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ceb2f336-3eb5-48c1-b4db-ea2e3d8a1493 · outbound

This paper cites Bollobás and P.A.

Hypercube minor-universality Bollobás and P.A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.621418Z

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=2026-08-10T15:59:29.363119Z digest=sha256:afc76339be006f349e04b26838e0e3c6d64b40424cd6137c2382d9511ea7adca

Observation 75142dec-d967-43da-ac7d-e18e609688cf · outbound

This paper cites Benjamini, Y.

Hypercube minor-universality Benjamini, Y

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.608919Z

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=2026-08-10T15:59:29.367840Z digest=sha256:4e122af4ab98e385c7a5a8c6217041ee81aa56e156f3bba462979aff641d16d5

Observation baeeb718-8743-486c-8d12-cd9f9f6d0299 · outbound

This paper cites Thick embeddings of graphs into symmetric spaces via coarse geometry.

Hypercube minor-universality Thick embeddings of graphs into symmetric spaces via coarse geometry

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T15:59:29.371939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T15:59:29.371939Z digest=sha256:ea2a4eb1e1c9a982ff12f22393a32a7f3d911ea57d4f4e63cb568e6e26d1b57c

Observation ffe6b0bb-a1a6-4f3b-9322-c750fa9adfb5 · outbound

This paper cites Benjamini, O.

Hypercube minor-universality Benjamini, O

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.596562Z

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=2026-08-10T15:59:29.376529Z digest=sha256:b9d5b3b3f24a476beb3b08123f7ab14c3b31113404ee383edf521c44f45d682a

Observation c629bdd4-5750-428e-987a-1f92f947368d · outbound

This paper cites Fountoulakis, D.

Hypercube minor-universality Fountoulakis, D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.585159Z

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=2026-08-10T15:59:29.380985Z digest=sha256:f3b8816c34414b0c35697f48b96f685e8a5895cdc5bc8ac3f91dfec636ceed79

Observation 6291cc68-cb47-48f3-9163-58fd356272fa · outbound

This paper cites Gromov and L.

Hypercube minor-universality Gromov and L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.573804Z

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=2026-08-10T15:59:29.385425Z digest=sha256:3bcab1650ef4d71f1dc23bd315fe553fc69325fccf44ea297945dc61065ce49d

Observation 8fdee2a8-2d66-4fde-89db-924e5e337a26 · outbound

This paper cites Guth, Recent progress in quantitative topology, Surveys in Differential Geometry, 22(1):191–216, 2017.

Hypercube minor-universality Guth, Recent progress in quantitative topology, Surveys in Differential Geometry, 22(1):191–216, 2017

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.561584Z

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=2026-08-10T15:59:29.389867Z digest=sha256:e4594a2ee94edbfc727a5d4da2c9917abac753df4342d5827da76c561373266c

Observation 4dbf4ebb-7449-4c27-9f8d-a7409ae929d8 · outbound

This paper cites Hoory, N.

Hypercube minor-universality Hoory, N

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.549323Z

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=2026-08-10T15:59:29.394258Z digest=sha256:013f8cdc35c9bc16de40dfb8857ba2b6a367899a0ec5475738d774b42e8967ea

Observation 02c184b7-2aed-4709-b8c9-e19ea9f305a5 · outbound

This paper cites Thick embeddings into the Heisenberg group and coarse wirings into groups with polynomial growth.

Hypercube minor-universality Thick embeddings into the Heisenberg group and coarse wirings into groups with polynomial growth

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-10T15:59:29.459267Z

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=2026-08-10T15:59:29.398264Z digest=sha256:69c6bcdcc0768cdce168f0e3656b555faeac789ab8eb7410f7dd215fa3a43e74

Observation 0c3cab0a-abc7-415d-a31a-682c1816353b · outbound

This paper cites an unresolved cited work.

Hypercube minor-universality Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:59:29.536223Z

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=2026-08-10T15:59:29.402260Z digest=sha256:4074bf6ef549dc6a67719f3200c30a789e1f3592676a4568d18fe6e7e988ee00

Observation 366be910-9d64-470b-b266-ae7b6cf8eaeb · outbound

This paper cites Kowalski, An Introduction to Expander Graphs, ETH Zürich, Version of January 8, 2024.

Hypercube minor-universality Kowalski, An Introduction to Expander Graphs, ETH Zürich, Version of January 8, 2024

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.524173Z

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=2026-08-10T15:59:29.405979Z digest=sha256:4ee42c38512b4fe178b592b6da404e8afde9d86f024321f5d02321ed5d4f4cfe

Observation 66ebd83b-f494-4104-9798-fd63b64261af · outbound

This paper cites Krivelevich, B.

Hypercube minor-universality Krivelevich, B

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.511585Z

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=2026-08-10T15:59:29.410508Z digest=sha256:08635be9edf280e97747a65354e4530fd67bd3d2610b70f8f5d3fc604dd2f015

Observation eb47b248-562b-40ae-bff0-1f1a39517b5f · outbound

This paper cites an unresolved cited work.

Hypercube minor-universality Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:59:29.499301Z

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=2026-08-10T15:59:29.414934Z digest=sha256:afb472c60cb9b2da0178f77623a5094e67dc275586cb009dbaf9f1ad3a917191

Observation 3e8a5877-2659-4704-a799-de54166ebc9e · outbound

This paper cites Robbins, ``A remark on Stirling's formula,'' Mathematical Notes, edited by F.

Hypercube minor-universality Robbins, ``A remark on Stirling's formula,'' Mathematical Notes, edited by F

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:59:29.487560Z

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=2026-08-10T15:59:29.419348Z digest=sha256:dbec406f9f3d2a1cb2c5bffc209b12f223224a5a5bcfd40255522c7ca5ad83ac

Pith citing papers

Observation c9371fe2-7666-4b7a-8849-f5e904e340ed · inbound

Tight Bounds for Hypercube Minor-Universality cites this paper.

Tight Bounds for Hypercube Minor-Universality Hypercube minor-universality

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-08T15:03:41.945972Z

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=pdf_text observed=2026-08-08T15:03:41.852668Z digest=sha256:dd8d4e89ec3a27898bc4e52ca6169b4639f00885a22fb818994ec7169dec49df