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Paper Citation Record · LEDGER

Bounding Radon numbers via Betti numbers

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.01677.

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

pith.paper-citation-record.v1
1908.01677 v4

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:17:20.096142Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

19 of 19 outbound references displayed

  • verified exact3
  • verified fuzzy7
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c8e67da-879a-48c5-99cf-0b4ac0ebf0cb · outbound

This paper cites an unresolved cited work.

Bounding Radon numbers via Betti numbers Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:17:20.661798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:19.971467Z digest=sha256:0c5178d2054702446759f08f7795291e0f4c9fd3e91f499b533bbeac0a688d79

Observation 4b93e583-c4e0-4dd3-a4a1-b7a668ef7528 · outbound

This paper cites an unresolved cited work.

Bounding Radon numbers via Betti numbers Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:17:20.629422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:19.981124Z digest=sha256:295af34652c6d57b82183d9e6b014ed0a437e1d7f694210fa3a71dcd6f9a3244

Observation 2cceb2a8-77e9-4b50-9c56-79f67a3cf55d · outbound

This paper cites De Loera, X.

Bounding Radon numbers via Betti numbers De Loera, X

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:17:20.607230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:19.988492Z digest=sha256:19074864c2fd0977e49dad765225ad8258981dd6afe3464f5b8df83c6ae62a6b

Observation cb53cf10-a130-4ad9-bc6b-4d6756aa02b2 · outbound

This paper cites Erd o s and M.

Bounding Radon numbers via Betti numbers Erd o s and M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:17:20.587036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:19.993879Z digest=sha256:9c78ab5dd1ed1339235c121584b6334f640f0502dc95440eb1f22a8393251afe

Observation ad324533-e2a1-49c1-ac75-9b04fdf938e6 · outbound

This paper cites Fulek and J.

Bounding Radon numbers via Betti numbers Fulek and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:17:20.565977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.000646Z digest=sha256:0c95fde0042a955bc8883c84785410c94665c60c6f8e096f91d0cf5ffcd8490e

Observation 688554a2-951e-4806-80df-a3b29b3d4583 · outbound

This paper cites Goaoc, I.

Bounding Radon numbers via Betti numbers Goaoc, I

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:17:20.543245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.006745Z digest=sha256:1e75ad62a086e5cd533e7e3c3e94e68be7ffcbbe483670f7b8d8d14862ff617c

Observation 1dea3ae4-13e0-4ba8-88c9-81faaeee18e0 · outbound

This paper cites Goaoc, P.

Bounding Radon numbers via Betti numbers Goaoc, P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:17:20.519562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.012821Z digest=sha256:abaf909a3869fbebb1a3565f88dc21dd262ff1db0a73d73656d4d0b5bbce3aa9

Observation 5ba93676-e688-43b5-a50a-d58308a82f15 · outbound

This paper cites Holmsen, M.

Bounding Radon numbers via Betti numbers Holmsen, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:17:20.496291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.017873Z digest=sha256:b32b0f77a798f5107f0e9e879cd78a40445df05e757abc4888be76becfd66a86

Observation 2d8fe31e-144c-4f1e-8d0a-fb866738ca40 · outbound

This paper cites Radon numbers and the fractional Helly theorem.

Bounding Radon numbers via Betti numbers Radon numbers and the fractional Helly theorem

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:17:20.234436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.023188Z digest=sha256:79efa53a9449bb888e1bf326555e078c09ccb0d98b2c7430e52a8e13ba18d6d5

Observation c0e2203e-904a-43e4-8171-d1a60733015b · outbound

This paper cites an unresolved cited work.

Bounding Radon numbers via Betti numbers Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:17:20.474177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.030167Z digest=sha256:b77eeabfd9cfd830b672b90b3e25a1661521be2d03cddbfc469e494ebc7a25af

Observation 92f6af9f-13b7-4345-b25b-f02cca1d2445 · outbound

This paper cites Intersection patterns of planar sets.

Bounding Radon numbers via Betti numbers Intersection patterns of planar sets

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:17:20.191389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.038296Z digest=sha256:7278d695748a115cf3962ebb6d301b7ffe37b0e67258ac0521778ab93017ce39

Observation 0d2ccd01-a878-4522-a0a4-1433d068192d · outbound

This paper cites an unresolved cited work.

Bounding Radon numbers via Betti numbers Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:17:20.445735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.046253Z digest=sha256:95d7b479494026461184203a65178af6121838c4acb974508eea5a1ea98d3e44

Observation 8d671fe4-72c1-4b32-bf4e-088ca6067184 · outbound

This paper cites Matou s ek.

Bounding Radon numbers via Betti numbers Matou s ek

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:17:20.420517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.052286Z digest=sha256:7add3de142fcc21b860e1fde8022f01b1585aa4cc8f10dbe0d1774b349392c7e

Observation 3d2de03f-ea0a-4377-8b1f-f19ab3822a8f · outbound

This paper cites Embeddings of $k$-complexes into $2k$-manifolds.

Bounding Radon numbers via Betti numbers Embeddings of $k$-complexes into $2k$-manifolds

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:17:20.150285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.058100Z digest=sha256:90ec47fd6432c255a581861375b86a0c98e9c908a8033f53ca2aa21117bee5d4

Observation 6ba045f6-0e38-4d41-a77a-118c550bcfc2 · outbound

This paper cites an unresolved cited work.

Bounding Radon numbers via Betti numbers Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:17:20.394610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.072487Z digest=sha256:bfedbddd2cb584cd15d5cac87d6e0a0db495e77c58766bd16e0c926a3ef5fd61

Observation 1397c3d4-e855-49d2-9726-9efca968ddf5 · outbound

This paper cites an unresolved cited work.

Bounding Radon numbers via Betti numbers Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:17:20.371255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.078817Z digest=sha256:01e913a22a31d74f576292086aa599b7f698302ad1e2a7cff9b86ede50b33c67

Observation 6751e1b4-74d7-4d36-978a-da7876c6029a · outbound

This paper cites an unresolved cited work.

Bounding Radon numbers via Betti numbers Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:17:20.346731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.085056Z digest=sha256:24b3b6c4f0327e0000862fc0de4e0cb006c3d2bd6577ad945d54c9260e52734b

Observation 76976190-022f-425e-bbf5-8593b32728a4 · outbound

This paper cites an unresolved cited work.

Bounding Radon numbers via Betti numbers Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:17:20.304671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.089975Z digest=sha256:c193cf7ea4099895fbb33306b360d8186eb8b826f7216dc5095bd08f6bbbec6a

Observation 0b8f60e6-617e-4660-9381-b6848c47a507 · outbound

This paper cites an unresolved cited work.

Bounding Radon numbers via Betti numbers Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:17:20.273318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:17:20.096142Z digest=sha256:7f3efb58d252575d387bb0db73370a9ed1a30d7de4fd9bef6e9891f5e043f4d2

Pith citing papers

No inbound Pith citation observations are available.