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Paper Citation Record · LEDGER

Settling the no-$(k+1)$-in-line problem when $k$ is not small

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2502.00176.

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

pith.paper-citation-record.v1
2502.00176 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T20:12:02.064076Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-07T21:25:11.018193Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-07T21:34:09.297452Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 971c90ff-11af-4c15-8e66-08f52d9d55a4 · outbound

This paper cites Aichholzer, D.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Aichholzer, D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.410385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.737779Z digest=sha256:9e839b2b7a3d733f0b25aab27cbdbe90dec6832a522861737ef92ab3bc90c4ed

Observation ff8346c7-8f0e-4187-bd3d-6d0bee8f992d · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.402198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.760520Z digest=sha256:a0fa98e2ec72b26b2aef486f584aed00e3f38d2bcec5fda1455147be82cc2a6e

Observation 5b30c182-23a0-4fea-b4ac-469e7ca3c543 · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.393933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.787687Z digest=sha256:72a1b9f375527334109d9180992a4ab12d065c6964d919cb895d378a04dcf548

Observation fcfc94f5-5142-4b0d-9e20-90bfdcb8dc81 · outbound

This paper cites Ball and J.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Ball and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.384224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.812486Z digest=sha256:098513627a17d29a4aa4823f12e3ec13776dfc4ad695f63463e46fd27f50e0db

Observation ab70d17c-c5ca-4b40-bc44-684b8d44e85e · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.374938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.816230Z digest=sha256:aab73fdb09fa40562956497b7ab67ab2747eb0b3ade11155569d9be765e26b8c

Observation f212afe0-a8a7-43b5-a5a8-e1a4a5547c89 · outbound

This paper cites Brass, W.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Brass, W

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.365367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.820481Z digest=sha256:7cf6209425b709d94d8e166018d2d68e3d30db2c75866d5cd55651ab423d0dfb

Observation 4d74dc42-bbd6-45c0-9fb7-1ea6c419a1bf · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.357498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.824837Z digest=sha256:4ef66a01079e901e9b6ea941ce2d6548ae1372803eb67054969a45b2a2b60f14

Observation 54eec69b-a8f0-4f54-a687-f5511288e2c6 · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.348787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.828661Z digest=sha256:a479692d5d2a68d99b2a2089680f4f11324da85d4762fc5e4eafd8311af8c556

Observation 350d96e4-84d2-4e8d-876d-cd65d9d639eb · outbound

This paper cites Eppstein.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Eppstein

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.340734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.832593Z digest=sha256:ec9b34219c2094083a32c16707e914e1e51bcb8173c0f50bafe185a20293f9d3

Observation 634b2858-a1ad-473f-aa44-186ac4bbdd85 · outbound

This paper cites Flammenkamp.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Flammenkamp

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.332639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.836845Z digest=sha256:3ab77b62beb5ee505956875c4f4e781b30d015c8ba6c129b721e0e2af7b46ce3

Observation 010d764a-dfbe-46c0-b318-36178f1b6ed2 · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.323409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.840703Z digest=sha256:8592775a350e1eb5951021ad031b08f51c5d804580c7ac729a266c14b25ba223

Observation b423efdf-9414-4a8b-9ed5-8ed9253c10cf · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.314208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.843945Z digest=sha256:d80a4be6b47135fcabdbb964c4ac600aaa37be2a73cfad7d6ffa8db47140079b

Observation 872e43bc-17be-4a13-994f-874047e78b9a · outbound

This paper cites Greenhill and B.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Greenhill and B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.304736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.939944Z digest=sha256:59481b800dac330f598c36b123ec87101867398d38c0470a71a545bd5993ee44

Observation cd45dc64-ddeb-43db-81a6-2e1e489ed44a · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.294828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.943907Z digest=sha256:5ecf0d422f918f9527b9a734ddf6089dd004bd3122b82c52f8f7bd9a11330189

Observation 323c48cd-7487-493d-8767-8a212aca77f6 · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.284867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.947516Z digest=sha256:8937daeeb90eedfab36990d6bb1e6a5a1d53ecdabf425b3ad7053458eed25cc0

Observation ef5d6ade-c602-4250-b74c-16ede345e9db · outbound

This paper cites Isaev and B.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Isaev and B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.275876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.950788Z digest=sha256:3595af09500c589d56adacaddf2db54cdca6d4de7cf4fbdcb21110a5dc461af4

Observation 219e4506-d9ac-405d-ba62-70998ce2daee · outbound

This paper cites Klimoˇ sov´ a, C.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Klimoˇ sov´ a, C

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.267502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.953708Z digest=sha256:5dc37bf3da02cf5186d87b6c2c706e46f73cf0700984d6cd10b79d300f0af272

Observation 0a9ac89b-5a92-4a1c-b1ce-9147bf6d5e7e · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.257209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.956828Z digest=sha256:c72e93d74fb98be029d4d3d02135dac17b38527aa11a2103b425b383f3f87c03

Observation b1cfc41a-7b7d-4695-8e00-71869a46023a · outbound

This paper cites Liebenau and N.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Liebenau and N

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.246063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.959816Z digest=sha256:082c710b1a9c595ed2ae5019029feddfe6c3f5eebcdf24b8eab3a93a6437c98f

Observation 0ce919fc-a9c8-4418-8834-08a3a2fe90d7 · outbound

This paper cites Chernoff's Inequality - A very elementary proof.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Chernoff's Inequality - A very elementary proof

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-09T20:12:01.962787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:12:01.962787Z digest=sha256:3077896e668cb7ba0d0b3c447574379bbe95dbcf5460335b761f69532a51a10b

Observation 3804b70d-49c7-4f82-a45f-6e3fe2a6b1f7 · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.235363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.966357Z digest=sha256:f15230488868d6bfe00ec7204ae4c2a3ebc0a8b3314c2d5fd7aafb5aab45a6b2

Observation cf58b6d7-cd18-445a-814b-3b4e8184b5fd · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.225931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.969227Z digest=sha256:8e244178a187d18317080db5e048ff4fc97190e75e6431109512e1cae09d122c

Observation f0e7ae6c-ab52-4e77-b908-c6f2c00feb03 · outbound

This paper cites Pach and G.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Pach and G

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.196249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.972524Z digest=sha256:c1ec8ea92d9f6106a13c5d8648dd1cfbc1f7c167bbabaf70cf017cdbd47910d0

Observation 98080192-6954-4833-899e-16d66e5271bf · outbound

This paper cites P´ or and D.

Settling the no-$(k+1)$-in-line problem when $k$ is not small P´ or and D

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.185213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:01.984337Z digest=sha256:087a73f1938b4b27e5ed69c6fafdd65afb4279ee9672e726c8a13cdb24f65e43

Observation 5c67f6fb-c0db-4867-8e62-d8b3f2ace37a · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.173615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:02.002890Z digest=sha256:da97c66f1ec1b5bef2eb7b6ca0614da03976899fbabcafebfd9c53abeb77f15c

Observation 6c1874ec-ee98-49c7-ab56-b43c19b94b4d · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-09T20:12:02.163146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:02.023604Z digest=sha256:46a80a7c71920506b1282fba8e0e8c3fe3dfcb707fb9c62d7d64ab6ab95e7054

Observation 1369affe-3956-45b7-a2cc-dfefb505b1de · outbound

This paper cites an unresolved cited work.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-09T20:12:02.044767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:12:02.044767Z digest=sha256:ee207078783049c420e01bba5800fd3342bed9cd6d0feb6d6764362757afea87

Observation eb5f2920-1ffa-4674-9a58-f9f04e733df5 · outbound

This paper cites Szemer´ edi and W.

Settling the no-$(k+1)$-in-line problem when $k$ is not small Szemer´ edi and W

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T20:12:02.146202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T20:12:02.064076Z digest=sha256:dc26228e9e8fa321f7a781c3077b809bc81a1e0928e7611c15b52ae72f11a5a9

Pith citing papers

Observation afdb14d3-1115-4399-8b01-fdd2e12fbf49 · inbound

The extensible no-$(k(n)+1)$-in-line problem cites this paper.

The extensible no-$(k(n)+1)$-in-line problem Settling the no-$(k+1)$-in-line problem when $k$ is not small

Reference 8

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T00:16:23.857012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-06-28T13:33:32.727981Z digest=sha256:3b96fe9ab419b93b8d6cc627a908ac1f29133d6ea4d8c899334572a6e0792d19

Observation 38353f86-fec8-42c0-bb69-4baf2eda52d6 · inbound

No-$(k+1)$-in-line problem for $k \geqslant 3$ cites this paper.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Settling the no-$(k+1)$-in-line problem when $k$ is not small

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-07-07T21:34:09.299195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-07T21:25:11.018193Z digest=sha256:72f96445b01f09164c4335b199144eb30693da8240105b79215d96e15f955ad9