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Paper Citation Record · LEDGER

On small balanceable, strongly-balanceable and omnitonal graphs

As of 16 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=sha256:40eaa7f0d2d7f94a2904e8a33587ad9a253b47fab70c8d91236fbf5a552d34ed

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=sha256:1baad021e00686cb4d9b32f4082582887c432fa2e3c2266b0582ee3b0e62a3ea

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:ec7d4232fbf2012fe6c69efb03732a71b87e2e3388ab7b0d3cdb4c63a57ed87a

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=sha256:85f1351516396feaee15670acaca097f44568cd0a5efea89714142c6d89cb872

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=sha256:5dc5d0e6ad1d7cab3005504a5a9d24e2cf650c342d95bec31c9ee8138f4a5eee

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:a975c52683a21916c6a03a7b545c559b2ff00f625e0ee1a5010e3567e951f73a

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=sha256:2f4f445f46942f556b5f4e8e351c1f71b827fe20be2489cea7fd77373fcfd068

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:a62ee9742cf95d8f9ec77a1316874cfe7a15d061ffd2e5beb1c500f842469869

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=sha256:6c31220ca78ba907d4ed96cc3222d6ab58e6da3e326bf59283975043ea8ccb7c

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=sha256:948e1499c965e516cc4551097c4e605f2a79fb3b78163657370ab0e2b4c6cd25

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:b42ad025ab666f3e28473c31f9b4c8afd2f9b24d994d2b8407059582f1ee206d

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=sha256:567c8b1d2599f379f30ef371d63318e234e1e568708af5dbfa2c728d00f7d0c9

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:e0db130177e2916a02e659f941bd6e052a56610a5480b2a37c41e8424d83b04a

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:b01325d9f4384d2f612ca35347c75db344ad0abef124075a02986416f4818a0d

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=sha256:3d6f8f6d56251c6414b45ddd1459d379f9993e9ac51e703970b3993770b9014f

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=sha256:118425a9ba3852db861124cb10e54e1ffdddb920fe26b2863d8e37b709175d06

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:f7463f41284c8a2aec1bb91c028e6cee8e3f5bec8dd1a7768fa415e61f098759

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:ab6408ade2070928025c5a2342d4a902634a2d2e1a3a352280d1f73aca5ce3dc

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=sha256:2a9f1fe165035ede9eba5aad6388ef3e2ad66ba6cb1950003aed7a71ff9f9ad5

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=sha256:4c8070841f04f5bdec6eb9e1b9e559b206e34ebebfdf78dcb2f9218c4ab64afd