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Paper Citation Record · LEDGER

Hypercube minor-universality

As of 18 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 2 inbound Pith citation observations 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 16 of 16 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:56:12.096116Z

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.363119Z digest=sha256:a87599d56474ab18be8400afc56695fd0de060a1d6e3b99023f59d2f3b39efbd

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.367840Z digest=sha256:a4c3a6d6b42fa9ea3288bb5a3360ef5dffa5f860d1aa5f1a02692fdbdb42441d

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:b67330fcea1e4ce5b6725a4d1eb7fe627d343c4d5e464da308ac52ed7e031e3f

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.376529Z digest=sha256:a30326446c04077b46ce1af05ee44eb136d1efd4258231e53311a26baf0853e8

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.380985Z digest=sha256:8a3ab49d4f3ce8a3028834a259146fdeb7483168a48bbf2d2b61f86a2302d458

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.385425Z digest=sha256:817f48b959b1baf33f5da2c24eb75bd793335718a341ebf3d32b7fa2dc900ecd

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.389867Z digest=sha256:7c5af78a6d8f36dac18bd07a75213f505f7fd00f9f222b14033363a32af6fd0e

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.394258Z digest=sha256:b9196cfec6e633a896a61c12a2b59b5a2508452c767e1502b5fd472323d875eb

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.398264Z digest=sha256:98583e81e6794e9aa415314f802da97046d4c2b8d55ecf4fa6915dff696185c4

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.402260Z digest=sha256:c8778eb64cefc916f638f8520196f56744a6b762b3a5ef7162282f1a30321dcb

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.405979Z digest=sha256:4fd6b074db959ba96604997cc3cb556d4b7275a727a04ae91c29de9029f83d86

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.410508Z digest=sha256:ef09fd1b37de972c582cf24367f86be28ef2b886df0ae69389f730b6a3fa8661

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.414934Z digest=sha256:35c4b32c334e4bbb7ac56c14d3b2d122939c2351f2178f3afc7528eca929b5df

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.419348Z digest=sha256:62560572a2db192c5d779003c26cde9f2cb1c92fc9893e877e612b2a42ded81a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-08T15:03:41.852668Z digest=sha256:f7ee57a5bbd4cd80e961761257e7240c955974766d65a6c608aa9760f6eb08a3

Observation 1bfcbd74-81fc-47c5-9744-5d9e49b0b43a · inbound

Smaller universal posets cites this paper.

Smaller universal posets Hypercube minor-universality

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T15:56:12.096116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:56:12.096116Z digest=sha256:a5b48b3fc1142a64c6ec82b7149711d0d6f8f6c9c03509d9b61d87cbf4fbc64d