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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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.363119Z digest=sha256:e0c53d160e89d1030d30db4e6f44e2e37028fa4ee9fb04c46a29727747b18ef6

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.367840Z digest=sha256:54d03e2225a8f34d0fb686b0279d26c112f696e645af64605ca4d4c62223b1d7

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.376529Z digest=sha256:be61451de2b06efce19ba01185b2ab7185238a11293c8d8750824de7c1d56ade

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.380985Z digest=sha256:373f779db575955cdd3c737bdb2ae4dc06727f22cdce10a419b6fa23e811f671

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.385425Z digest=sha256:fe77e87837e782085611a3c685f2d3f6a7dff7eec5d4a77816c50237fdd2dbb7

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.389867Z digest=sha256:eae5ff981c821343b0815fe320b7e87dc58148de690a2a2fc2911552efe44055

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.394258Z digest=sha256:f0ced71ff6510e5af0b65729f8833f240aabe7b8a2ca77c12ada500e4df03430

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.398264Z digest=sha256:3790b440b88f4761ece54a30b5e000b5faf662654b7a653cdd0b514f7f692c68

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.402260Z digest=sha256:a2604181fc4eb61f362532b12df901a56c4741b1aede9c991e9d1927d873e6aa

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.405979Z digest=sha256:ee4d8635441bba276a13c13ffdb925e5a541989a75997665e169b5de4873d707

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.410508Z digest=sha256:ed95bb6aaa51fe41e9c11e3c28223c2d825601ef702ae4abcf944a7e5c73b73b

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.414934Z digest=sha256:5eaa0995a7a2400bf8f7717e2694a52c6e0c40719e6cb0a5b739f19c4b53127e

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T15:59:29.419348Z digest=sha256:89aa9a22cd7e08b5b6d8f48edd59a607f46bbc86f2076c6df352f691dea155a8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T15:03:41.852668Z digest=sha256:c4da246b33264471124977e11acb4cbbdee1e925fb5fc6c10860b50062789573