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Paper Citation Record · LEDGER

On small balanceable, strongly-balanceable and omnitonal graphs

As of 17 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:1908.08237.

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

pith.paper-citation-record.v1
1908.08237 v3

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:02:26.268646Z

measured 20 of 20 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-24T14:46:18.236936Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T14:49:36.537843Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact5
  • verified fuzzy7
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3d6a3487-cee8-456d-bf8e-d39bd4595ae2 · outbound

This paper cites Avoiding zero-sum subsequences of prescribed length over the integers.

On small balanceable, strongly-balanceable and omnitonal graphs Avoiding zero-sum subsequences of prescribed length over the integers

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:02:26.389285Z

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=2026-08-14T12:02:26.193423Z digest=sha256:46b69f8454982a618f08e0d5dcfa4c310abadaa2095632056b66f62d43153088

Observation 7d6e4690-cfc4-4a93-81ce-323d97740122 · outbound

This paper cites an unresolved cited work.

On small balanceable, strongly-balanceable and omnitonal graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:02:26.528613Z

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=2026-08-14T12:02:26.198617Z digest=sha256:dc2e4c192643231814a100f73ede6716c3a26beed1f392d53a294f29b90e498e

Observation 119566dc-674e-48b7-990b-8e04c29cbed1 · outbound

This paper cites Bollob´ as.

On small balanceable, strongly-balanceable and omnitonal graphs Bollob´ as

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:26.518016Z

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=2026-08-14T12:02:26.202418Z digest=sha256:b1eab8e19f871c3dc852ba0a95fe33690b24ed912df2e28f2ed877a6d703c861

Observation f48157bc-4154-4f61-a514-6a2d397ba794 · outbound

This paper cites Colored unavoidable patterns and balanceable graphs.

On small balanceable, strongly-balanceable and omnitonal graphs Colored unavoidable patterns and balanceable graphs

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T12:02:26.206646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:02:26.206646Z digest=sha256:878cca447329525e7b34f7609ced4f84051f0387b2683865ea27fcae2ad98398

Observation 095947df-b301-41ac-865b-4ffd148cc447 · outbound

This paper cites an unresolved cited work.

On small balanceable, strongly-balanceable and omnitonal graphs Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:02:26.507046Z

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=2026-08-14T12:02:26.211368Z digest=sha256:f31236376093aea9bcbc5e136185d646d45b61305de190b30892389c157cea1f

Observation a1e6d47e-b8ce-4797-86c8-5a73ba27b6e0 · outbound

This paper cites Unavoidable chromatic patterns in 2-colorings of the complete graph.

On small balanceable, strongly-balanceable and omnitonal graphs Unavoidable chromatic patterns in 2-colorings of the complete graph

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:02:26.362645Z

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=2026-08-14T12:02:26.215324Z digest=sha256:1c46f900cee6c0632ff200133f1962a5615046c3f8183fb87ecd5e9f5126b020

Observation 3bf30348-1dc4-4324-8cf9-f9b2296604d8 · outbound

This paper cites an unresolved cited work.

On small balanceable, strongly-balanceable and omnitonal graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:02:26.496129Z

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=2026-08-14T12:02:26.219874Z digest=sha256:935b86082ccd500c5cccf2211993b65fec391154c232bb53575a06a20debe7dd

Observation 84bae526-5565-405e-9d87-d7a94b73b52c · outbound

This paper cites an unresolved cited work.

On small balanceable, strongly-balanceable and omnitonal graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:02:26.482878Z

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=2026-08-14T12:02:26.223661Z digest=sha256:1906f121c788aab5935baad42bc30fde53cd387e033d786b89dfce6140d5fea1

Observation e7a5129e-ad83-4c35-9b83-5134eed65317 · outbound

This paper cites Caro and R.

On small balanceable, strongly-balanceable and omnitonal graphs Caro and R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:26.472059Z

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=2026-08-14T12:02:26.227544Z digest=sha256:c95bd5416546853bf504e7722775f6257e107bda1d1fb29e2b94466d3af76e15

Observation 23b12262-c828-4dee-989c-28952d2db67f · outbound

This paper cites Cockayne and P.J.

On small balanceable, strongly-balanceable and omnitonal graphs Cockayne and P.J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:26.461018Z

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=2026-08-14T12:02:26.231121Z digest=sha256:3df21eff506b05054caaaa7757633681e8ce22887bb352ade2ffce99144995d8

Observation 3a6e5839-bcd1-4904-9c9a-f6b3f45984d9 · outbound

This paper cites Erd˝ os and T.

On small balanceable, strongly-balanceable and omnitonal graphs Erd˝ os and T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:26.448702Z

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=2026-08-14T12:02:26.235015Z digest=sha256:7d9c7bf64e984f85802f9c5e1dbb3e4aab4c97e56e9892a9fbf68ef46f0ce626

Observation e8b234b2-be76-4d97-8106-de09a05d77b1 · outbound

This paper cites Faudree and R.H.

On small balanceable, strongly-balanceable and omnitonal graphs Faudree and R.H

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:26.436452Z

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=2026-08-14T12:02:26.239039Z digest=sha256:0d8e2360fe8cc95fcd9dafd4a6cfb160846b40e97ef3b0111f97cea09a93c4b0

Observation d6173240-03a9-410a-8584-e4210ba3a1e7 · outbound

This paper cites F¨ uredi and M.

On small balanceable, strongly-balanceable and omnitonal graphs F¨ uredi and M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:26.424695Z

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=2026-08-14T12:02:26.242749Z digest=sha256:3023d838dc87ba548e3cf61b43591360e1f12cfdd6d1603cce88f6b8dd024543

Observation a1bd3f0c-0e09-42b8-b109-9e11c9e69c7d · outbound

This paper cites Tur\'an theorems for unavoidable patterns.

On small balanceable, strongly-balanceable and omnitonal graphs Tur\'an theorems for unavoidable patterns

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T12:02:26.246437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:02:26.246437Z digest=sha256:32fa871c3a758246b0783fd3ae7efed0fba3d79cedddb6848d570e41593dc7c7

Observation dc8c89dd-e0d8-4d1e-bf0c-c6d35ecddb54 · outbound

This paper cites Pikhurko.

On small balanceable, strongly-balanceable and omnitonal graphs Pikhurko

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:26.413203Z

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=2026-08-14T12:02:26.250883Z digest=sha256:23f33b698f30a4b6aa0ff5f2b7039e8149ff6175fc7b4544a1e9218831f4b1ec

Observation 36d7dc04-a249-48bb-aec9-2f5619f0f7a0 · outbound

This paper cites Zero-sum Analogues of van der Waerden's Theorem on Arithmetic Progressions.

On small balanceable, strongly-balanceable and omnitonal graphs Zero-sum Analogues of van der Waerden's Theorem on Arithmetic Progressions

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:02:26.336696Z

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=2026-08-14T12:02:26.254860Z digest=sha256:b594dd78999f8ef2cc0503a4408c17996bd6bbf464fb5a9d7ac62fbc954fda57

Observation 10ccd963-19e6-4312-963f-2983f1bbaa42 · outbound

This paper cites Zero-sum Generalized Schur Numbers.

On small balanceable, strongly-balanceable and omnitonal graphs Zero-sum Generalized Schur Numbers

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:02:26.321116Z

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=2026-08-14T12:02:26.259024Z digest=sha256:227dc785fa2ae2e4183b3de8c7af9abff871bd487587ca0aa2c31f4cdb1e0104

Observation 1d4514b2-c22c-43a6-9955-821adae6e639 · outbound

This paper cites Zero-sum subsequences in bounded-sum $\{-r,s\}$-sequences.

On small balanceable, strongly-balanceable and omnitonal graphs Zero-sum subsequences in bounded-sum $\{-r,s\}$-sequences

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:02:26.305554Z

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=2026-08-14T12:02:26.263921Z digest=sha256:8e6c61205b14ff7d6d5ec4f25276b70742e4002c749c5e31b01be0ac581c1029

Observation e68d5336-5441-422d-b5d9-b6bafc41b7ac · outbound

This paper cites an unresolved cited work.

On small balanceable, strongly-balanceable and omnitonal graphs Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:02:26.401197Z

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=2026-08-14T12:02:26.268646Z digest=sha256:0d21778b1a38469d478c34bdb17ba68ec099c8db37fa517a9eaa14e16b62779f

Pith citing papers

Observation 586f74d1-56d1-4838-ad14-0c7515b208a1 · inbound

On the balanceability of some graph classes cites this paper.

On the balanceability of some graph classes On small balanceable, strongly-balanceable and omnitonal graphs

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-24T14:49:36.541069Z

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=2026-05-24T14:46:18.236936Z digest=sha256:c7b1ab0a5b0e4e2bd33372639aa9feea805840298e860906bfcbaa7e2f1b9b8f