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Paper Citation Record · LEDGER

A fractional Helly theorem for set systems with slowly growing homological shatter function

As of 12 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2411.18605.

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

pith.paper-citation-record.v1
2411.18605 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:08:46.710290Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

12 of 12 outbound references displayed

  • verified exact2
  • verified fuzzy3
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9f988b51-fd3e-48fb-866a-a0dfebf455ff · outbound

This paper cites an unresolved cited work.

A fractional Helly theorem for set systems with slowly growing homological shatter function Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:08:46.925114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.653812Z digest=sha256:6e4aaa78ca5b4e68ab1c520b2fc80f1990c1e3bfc4eab9397594e7f0494c822e

Observation 0e61568c-16e8-4ad0-ae5d-9fb70ae9cf71 · outbound

This paper cites Intersection patterns in spaces with a forbidden homological minor.

A fractional Helly theorem for set systems with slowly growing homological shatter function Intersection patterns in spaces with a forbidden homological minor

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-12T11:08:46.784608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.660299Z digest=sha256:80a0793f1463c4c666bdf99134f01759b6915b97dd8c4e0982a75cca3558059f

Observation 89c730db-c423-4a9c-b83d-ca55bd6fdc70 · outbound

This paper cites Goaoc, P.

A fractional Helly theorem for set systems with slowly growing homological shatter function Goaoc, P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:08:46.912545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.666094Z digest=sha256:e46ee8c0a21ff2aa755baff0c79e19383376391a2b2184786b5892e958fe1c05

Observation 3872d3c0-a1f8-4bad-a1f3-3c4933688676 · outbound

This paper cites an unresolved cited work.

A fractional Helly theorem for set systems with slowly growing homological shatter function Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:08:46.897300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.670238Z digest=sha256:88a08226a7edb1750babcef56348dacb85e41c4d069c9a32e290a9179153327c

Observation ae98dad5-2f10-4db0-aa7a-d908da5f434c · outbound

This paper cites an unresolved cited work.

A fractional Helly theorem for set systems with slowly growing homological shatter function Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:08:46.885206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.674238Z digest=sha256:51226df33965477f0fe87b8c77af3a26c28dc63897570838ba8cfe170aace820

Observation 849fc9c2-5d7f-467c-9b96-d399b4913b68 · outbound

This paper cites an unresolved cited work.

A fractional Helly theorem for set systems with slowly growing homological shatter function Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:08:46.871702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.679179Z digest=sha256:b077b5b1d4813563934ddb678c9903bfed2ba22041f410b428010452cc1b3e5c

Observation 6a65cd21-84a5-482a-9ae1-43b847bedc0f · outbound

This paper cites an unresolved cited work.

A fractional Helly theorem for set systems with slowly growing homological shatter function Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:08:46.855586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.685858Z digest=sha256:a861918a7d2397bf0d2c53e7fce6206b9972524f373eb62b9b99339ee02cdfbd

Observation a7205c78-3886-4e5c-9021-5e01fe90757f · outbound

This paper cites Kay and E.

A fractional Helly theorem for set systems with slowly growing homological shatter function Kay and E

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:08:46.840811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.690532Z digest=sha256:51ace7786771d8f06577f4baa05022a69c18f89ab0d6bbf11187ed2039a47299

Observation 13de2765-714b-467c-9158-e096e146bc4a · outbound

This paper cites an unresolved cited work.

A fractional Helly theorem for set systems with slowly growing homological shatter function Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:08:46.826777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.694834Z digest=sha256:2129ac0ad6ed9455b61ec5e973456bcf225bfbc1d8c730ae2fdfde20929a7fb0

Observation 2ef0d2c1-c672-4b4c-b123-f435fcf9a638 · outbound

This paper cites Matouˇ sek.

A fractional Helly theorem for set systems with slowly growing homological shatter function Matouˇ sek

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:08:46.809595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.699902Z digest=sha256:4ed60031855c583a70a9784e6aaf344a7ff92d66dfdab4e4f9fad48cdfbdfb0a

Observation 6a43de76-afd5-4672-b16a-d67537f4e7f8 · outbound

This paper cites Pat´ akov´ a.

A fractional Helly theorem for set systems with slowly growing homological shatter function Pat´ akov´ a

Reference 11

Resolution
verified exact
doi, observed 2026-08-12T11:08:46.764139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.704814Z digest=sha256:2f5c3471f29272f316733932920fef7abe90d9f405b06e962175c2ebcba30f36

Observation 884d14e4-0678-4ec9-84bf-5ab82358f4c8 · outbound

This paper cites an unresolved cited work.

A fractional Helly theorem for set systems with slowly growing homological shatter function Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:08:46.795851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:08:46.710290Z digest=sha256:110b73e4f37aea9d654ee637510eb9bfa99d091c05edf1fbe131c138ee0dbcac

Pith citing papers

No inbound Pith citation observations are available.