Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T17:06:37.860764Z
Paper Citation Record · LEDGER
Gracefulness of two nested cycles: a first approach
As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2411.12998.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
28 of 28 outbound references displayed
- verified exact2
- verified fuzzy20
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d0723d7b-baa1-48c1-a9a3-1a04d29b0ed1 · outbound
This paper cites an unresolved cited work.
Gracefulness of two nested cycles: a first approach Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:06:38.157542Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 381eb19f-8436-45a1-a4b8-8826781dafee · outbound
This paper cites Graceful Labellings of Various Cyclic Snakes.
Gracefulness of two nested cycles: a first approach Graceful Labellings of Various Cyclic Snakes
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T17:06:37.947789Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5179b873-8d90-4836-93c2-d18f91051da4 · outbound
This paper cites Archdeacon, T.
Gracefulness of two nested cycles: a first approach Archdeacon, T
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.149296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5d30806d-edf4-4274-8b0e-fbeb2310d757 · outbound
This paper cites Archdeacon, J.H Dinitz, D.M.
Gracefulness of two nested cycles: a first approach Archdeacon, J.H Dinitz, D.M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.140976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1f3249eb-ac0d-4e86-81ef-79dd2922bae0 · outbound
This paper cites Bange, A.
Gracefulness of two nested cycles: a first approach Bange, A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.132804Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 09bf5f15-ed9c-45e6-b359-7e3170b6d73f · outbound
This paper cites Barrientos, Graceful labelings of cyclic snakes, Ars Combin., 60, 85-96, 2001.
Gracefulness of two nested cycles: a first approach Barrientos, Graceful labelings of cyclic snakes, Ars Combin., 60, 85-96, 2001
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.125214Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e68ff68f-e7cf-4739-a4b2-4d7517b53320 · outbound
This paper cites Barrientos, On graceful chain graphs, Util.
Gracefulness of two nested cycles: a first approach Barrientos, On graceful chain graphs, Util
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.117164Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 94877874-c672-4968-bfe6-982865190bd2 · outbound
This paper cites Delorme, K.M.
Gracefulness of two nested cycles: a first approach Delorme, K.M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.109632Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 43f8bfb9-6026-4830-ab50-2c4d9a4254dc · outbound
This paper cites Dinitz and I.M.
Gracefulness of two nested cycles: a first approach Dinitz and I.M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.101217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a6a9f1b3-25d3-4688-bf2e-e3c9de48554b · outbound
This paper cites Elumalai and A.
Gracefulness of two nested cycles: a first approach Elumalai and A
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.093417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e8f6dea4-d3d9-422c-9050-575c78d4fa48 · outbound
This paper cites Frucht and J.
Gracefulness of two nested cycles: a first approach Frucht and J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.084843Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0c84526c-6805-4c65-9aaa-54bf1f3330a0 · outbound
This paper cites an unresolved cited work.
Gracefulness of two nested cycles: a first approach Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:06:38.076847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5f080a4d-e3dc-4254-9080-2f613b1bc141 · outbound
This paper cites Goldfeder and J.
Gracefulness of two nested cycles: a first approach Goldfeder and J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.068856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6a862265-0563-4148-8ecb-ef5ae39a6d61 · outbound
This paper cites an unresolved cited work.
Gracefulness of two nested cycles: a first approach Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:06:38.060730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2917178e-2743-4908-903f-e2c5dab69607 · outbound
This paper cites Koh and N.
Gracefulness of two nested cycles: a first approach Koh and N
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.053199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3cdd82d1-844a-431d-99a3-04f074b7926c · outbound
This paper cites Licona and J.
Gracefulness of two nested cycles: a first approach Licona and J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.045946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7fc4b877-4c51-4ee1-8d24-ffa5660e8546 · outbound
This paper cites Liu, On Bodendiek’s conjecture for graceful graphs, Chinese Quart.
Gracefulness of two nested cycles: a first approach Liu, On Bodendiek’s conjecture for graceful graphs, Chinese Quart
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.037871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f5ae4a73-425d-49a2-870e-bc0d3a26a403 · outbound
This paper cites Ma, A graceful numbering of a class of graphs, J.
Gracefulness of two nested cycles: a first approach Ma, A graceful numbering of a class of graphs, J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.030008Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 77c80180-e1b0-401a-bb63-171d8c025e65 · outbound
This paper cites Ma, Y.Liu and W.
Gracefulness of two nested cycles: a first approach Ma, Y.Liu and W
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.021975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 26f23fd1-4319-4d59-a92a-e7a13de4c49c · outbound
This paper cites Maheo, Strongly graceful graphs, Discrete Math., 29, 39-46, 1980.
Gracefulness of two nested cycles: a first approach Maheo, Strongly graceful graphs, Discrete Math., 29, 39-46, 1980
Reference 20
- Resolution
- verified exact
- raw_fallback, observed 2026-08-12T17:06:37.935590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c5d349c7-fd7a-4049-846e-30772a9a9925 · outbound
This paper cites Moulton, Graceful Labellings of Triangular Snakes, Ars.
Gracefulness of two nested cycles: a first approach Moulton, Graceful Labellings of Triangular Snakes, Ars
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.013991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 56540123-a3c0-42a4-a62f-534dd87f35d5 · outbound
This paper cites O’Keefe, Verification of a conjecture of Th.
Gracefulness of two nested cycles: a first approach O’Keefe, Verification of a conjecture of Th
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:38.005659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation beb6d421-fbfe-4646-b2ed-6a4f11da3e27 · outbound
This paper cites an unresolved cited work.
Gracefulness of two nested cycles: a first approach Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:06:37.997489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 69dc5c64-eb6a-47ed-b472-2314db457884 · outbound
This paper cites Rosa, On certain valuations of the vertices of a graph, Theory of Graphs (In- ternational Symposium , Rome, July 1966), Gordon and Breach, N.
Gracefulness of two nested cycles: a first approach Rosa, On certain valuations of the vertices of a graph, Theory of Graphs (In- ternational Symposium , Rome, July 1966), Gordon and Breach, N
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:37.989615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f3321c02-5bf1-4aaa-9644-a00057389538 · outbound
This paper cites Sekar, Studies in Graph Theory, Ph.D.
Gracefulness of two nested cycles: a first approach Sekar, Studies in Graph Theory, Ph.D
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:37.980620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 99bbbc00-60c5-42e2-bac8-0939c8b8ee4b · outbound
This paper cites Skolem, On certain distributions of integers in pairs with given differences, Math.
Gracefulness of two nested cycles: a first approach Skolem, On certain distributions of integers in pairs with given differences, Math
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:06:37.971777Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ccadeac6-a828-40cb-8a19-5ae58b2f4eb3 · outbound
This paper cites an unresolved cited work.
Gracefulness of two nested cycles: a first approach Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:06:37.963826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 054c2f10-d8d4-46e1-9214-805bb498c22a · outbound
This paper cites an unresolved cited work.
Gracefulness of two nested cycles: a first approach Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:06:37.956189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.