Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:00:43.935514Z
Paper Citation Record · LEDGER
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers
As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.04329.
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 2026-08-16T06:30:59.297886+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
18 of 18 outbound references displayed
- verified exact2
- verified fuzzy12
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2c44426c-af7f-49ac-ae4c-96bd820741e5 · outbound
This paper cites Some bijections and identities for the Catalan and Fine numbers.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Some bijections and identities for the Catalan and Fine numbers
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.169131Z
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.
Observation fabcf51a-8fdf-4653-b173-03f892a16313 · outbound
This paper cites an unresolved cited work.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Unresolved cited work
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:00:43.878076Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34e81dcc-7a62-4ec8-8c3c-2d44001cec59 · outbound
This paper cites $k$-protected vertices in unlabeled rooted plane trees.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers $k$-protected vertices in unlabeled rooted plane trees
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:00:43.997275Z
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.
Observation f71528e2-e5ea-4b2e-a062-6d130d199936 · outbound
This paper cites A transformation on o rdered trees.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers A transformation on o rdered trees
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.157630Z
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.
Observation be084fc3-28fb-4b86-9ebf-c139c02cc1df · outbound
This paper cites 1700 Forests.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers 1700 Forests
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:00:43.979600Z
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.
Observation 89154607-a947-4e8a-8e46-b80744700039 · outbound
This paper cites Enumerations of ordered trees.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Enumerations of ordered trees
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.147220Z
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.
Observation 2962866c-dc6c-4270-97b2-ee9f4f28f201 · outbound
This paper cites Patterns in trees.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Patterns in trees
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.135774Z
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.
Observation 16a5352e-2939-4de1-8d3c-3505f4faae20 · outbound
This paper cites The Cycle Lemma and some a pplications.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers The Cycle Lemma and some a pplications
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.124332Z
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.
Observation d8a38af9-18d6-4d3a-812f-ffbda924dc17 · outbound
This paper cites More patterns in trees: U p and down, young and old, odd and even.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers More patterns in trees: U p and down, young and old, odd and even
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.111602Z
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.
Observation 0feb5cac-328d-4e44-9ad3-b79489b3c4bf · outbound
This paper cites Dyck path enumeration.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Dyck path enumeration
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.098229Z
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.
Observation 849c3b79-6b02-471c-876b-d9b70720380e · outbound
This paper cites A survey of the Fine numbers.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers A survey of the Fine numbers
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.087996Z
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.
Observation 7898050a-14bb-47f9-a652-f98d76420f75 · outbound
This paper cites A problem of arrange ments.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers A problem of arrange ments
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.076435Z
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.
Observation b1e70cfa-3789-4a03-baa0-14031a6c6a04 · outbound
This paper cites Protection number in plane trees.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Protection number in plane trees
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.066859Z
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.
Observation 10fcbaa7-0d7f-46a8-86aa-ed8dde74f75a · outbound
This paper cites Narayana.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Narayana
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.056349Z
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.
Observation e8a44a42-79c2-4bbf-be62-3e3f311c8ef8 · outbound
This paper cites Enumeration of plane trees by branches and end points.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Enumeration of plane trees by branches and end points
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:44.045731Z
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.
Observation 843b1108-c03c-4713-8d80-cb4ba265c53f · outbound
This paper cites an unresolved cited work.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:00:44.034040Z
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.
Observation 9682483d-54a4-4cd3-9307-63476f7ec5a3 · outbound
This paper cites an unresolved cited work.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:00:44.021522Z
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.
Observation 62e53930-f6db-449e-b65d-7e9b44825f83 · outbound
This paper cites an unresolved cited work.
Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:00:44.009735Z
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.
Pith citing papers
No inbound Pith citation observations are available.