Pith. sign in

Paper Citation Record · LEDGER

Lattice approach to plane colorings

As of 16 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:1908.03880.

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

pith.paper-citation-record.v1
1908.03880 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:03:39.437708Z

measured 11 of 11 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

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7105c6d8-8765-4164-a9c7-1937974bd8b5 · outbound

This paper cites Moser and W.

Lattice approach to plane colorings Moser and W

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:03:40.152844Z

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=pdf_text observed=2026-08-14T14:03:39.199772Z digest=sha256:39ef2df73aaefe10bbf56b6a382a0b7f8b64bbb58e0e4f3095ca79a12cb2d704

Observation e5fe09f0-29ce-4e6d-96d4-e8db0989a131 · outbound

This paper cites The chromatic number of the plane is at least 5.

Lattice approach to plane colorings The chromatic number of the plane is at least 5

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T14:03:39.237921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:03:39.237921Z digest=sha256:d05a893daef2855c6611f7b81d13ec3b2d2ca35ee835d61e99e4750f09e51df4

Observation 5ed30a21-6047-43a1-8be7-6cf4feefecf6 · outbound

This paper cites an unresolved cited work.

Lattice approach to plane colorings Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:03:40.114830Z

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=pdf_text observed=2026-08-14T14:03:39.254512Z digest=sha256:c80df71fd0f9c9e0cb2f691f55afd1682032564154be7faaca969b26f05270e1

Observation d9dd64c1-618d-42ad-9222-4017eb996b0e · outbound

This paper cites Soifer,The Mathematical Coloring Book(Springer-Verlag, 2009).

Lattice approach to plane colorings Soifer,The Mathematical Coloring Book(Springer-Verlag, 2009)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:03:39.989666Z

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=pdf_text observed=2026-08-14T14:03:39.268297Z digest=sha256:450abf6b1d60fc99e569a15bd83854a9b671ae79e14bf7d5018dd5456c09b3f8

Observation 5ad2b9e7-8e0d-4555-9b6b-5104a25254a2 · outbound

This paper cites A probabilistic Hadwiger-Nelson problem.

Lattice approach to plane colorings A probabilistic Hadwiger-Nelson problem

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:03:39.603482Z

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=pdf_text observed=2026-08-14T14:03:39.280022Z digest=sha256:723b41bf1a4b03c2e059d177632f92be67f9d2d74f75510fa7533d6c6f74a569

Observation 276be0f4-c5fd-4530-9a15-33288ca37900 · outbound

This paper cites The grasshopper problem.

Lattice approach to plane colorings The grasshopper problem

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T14:03:39.293730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:03:39.293730Z digest=sha256:1a394618519f37b1e98d5d9ad05ab8201089185ee0fe962fb638338565b2da5b

Observation a588d59a-7f8b-4815-bc5a-69920db3103b · outbound

This paper cites an unresolved cited work.

Lattice approach to plane colorings Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:03:39.928206Z

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=pdf_text observed=2026-08-14T14:03:39.301832Z digest=sha256:ba42e3524a40633b504dfac0a9e6d5bbb32ae90029c67a49aa81c1b227a794c3

Observation 7ef9263a-94b2-463b-b0be-9ff63c497ca8 · outbound

This paper cites Soifer, Geombinatorics1, 13 (1992).

Lattice approach to plane colorings Soifer, Geombinatorics1, 13 (1992)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:03:39.880428Z

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=pdf_text observed=2026-08-14T14:03:39.310524Z digest=sha256:621b1ec134a6396a9db2f9904c7d333560c327f2174b9cc1ea5d4ee4887fd4ae

Observation 5aacaa75-2257-46ad-9be7-067fe5fdbd4c · outbound

This paper cites Colorplane,.

Lattice approach to plane colorings Colorplane,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:03:39.850714Z

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=pdf_text observed=2026-08-14T14:03:39.319721Z digest=sha256:e1a091490b4446ce55cab3eb8156f26523db58f0da38fd0d23c3e170a0683c6f

Observation 6da48897-56db-4ad3-9828-195254e42c1a · outbound

This paper cites an unresolved cited work.

Lattice approach to plane colorings Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:03:39.798225Z

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=pdf_text observed=2026-08-14T14:03:39.378913Z digest=sha256:2a307dd29a1ab370aa838ec6b5ed321425dce9a14fc1b50cbce974086e2c4364

Observation fc32f9ef-821d-4cc7-9227-fc2347f06820 · outbound

This paper cites Aalto University, P.O.Box 11000, 00076 AALTO, Finland E-mail: sami.heinasmaki@aalto.fi 20.

Lattice approach to plane colorings Aalto University, P.O.Box 11000, 00076 AALTO, Finland E-mail: sami.heinasmaki@aalto.fi 20

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:03:39.695872Z

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=pdf_text observed=2026-08-14T14:03:39.437708Z digest=sha256:71b3d826d29f86ea48939d4bb6ecee2cf5f9108b77bb4049c563c931a2a64755

Pith citing papers

No inbound Pith citation observations are available.