Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:51:00.662069Z
Paper Citation Record · LEDGER
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach
As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2501.04032.
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 2026-08-11T06:34:44.6726+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
21 of 21 outbound references displayed
- verified exact3
- verified fuzzy12
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 44077270-ae10-469f-955a-b4c365c3c0bd · outbound
This paper cites Kosova, R.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Kosova, R
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.966415Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 20be9874-8cc8-46a7-845e-15f018e52f90 · outbound
This paper cites an unresolved cited work.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:51:00.953624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b1c02e98-ef75-440e-8fb9-6d2b507830e5 · outbound
This paper cites V enkatesulu and C.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach V enkatesulu and C
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.941233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 346093e0-2de5-44b7-acef-7e26f420207b · outbound
This paper cites an unresolved cited work.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:51:00.928529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c162d5ff-9f52-4b51-89f1-58377a47959c · outbound
This paper cites An approximation of the Collatz map and a lower bound for the average total stopping time.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach An approximation of the Collatz map and a lower bound for the average total stopping time
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:51:00.737805Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 846a413f-0622-4e97-aafb-42620b108a57 · outbound
This paper cites Specifying and Verifying the Convergence Stairs of the Collatz Program.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Specifying and Verifying the Convergence Stairs of the Collatz Program
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:51:00.721115Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 75d473c2-a92b-4509-96b3-0cad70d17da1 · outbound
This paper cites $3n+3^k$: New Perspective on Collatz Conjecture.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach $3n+3^k$: New Perspective on Collatz Conjecture
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:51:00.702725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 89dd4ba9-0672-43cd-8515-17466b093c98 · outbound
This paper cites an unresolved cited work.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:51:00.915086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 597f1aac-3998-49cd-81f8-b5bdc521aee8 · outbound
This paper cites Nicola, M.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Nicola, M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.902304Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3686d666-7b4a-4672-ba64-d10cb54ef4d1 · outbound
This paper cites Zhou, ‘‘Proof of the collatz conjecture using logical and probabilistic approaches,’’ Available at SSRN 4903082, 2024.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Zhou, ‘‘Proof of the collatz conjecture using logical and probabilistic approaches,’’ Available at SSRN 4903082, 2024
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.890358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3fbd1fa9-dc84-437a-9b2d-b38bfdfebee4 · outbound
This paper cites an unresolved cited work.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:51:00.878762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3efdafb6-5023-4fb1-a718-1040dfdd05ea · outbound
This paper cites Ren and R.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Ren and R
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.866362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ea8d1415-8c5c-4aa9-9efe-cf58e2183b15 · outbound
This paper cites an unresolved cited work.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:51:00.853946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 49fa132e-7b23-4f4e-9240-3ff71a3f37b0 · outbound
This paper cites Renza, S.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Renza, S
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.840842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1f511e89-5460-490c-98db-7590bf56d601 · outbound
This paper cites 26, 2019.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach 26, 2019
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.829087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4159a055-c2d7-4980-b934-47d9aaf1aae7 · outbound
This paper cites Al-Hyari, C.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Al-Hyari, C
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.817265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4dc65819-f23b-4efc-a919-545be8dde376 · outbound
This paper cites Rasool and S.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Rasool and S
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.803633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 90d9c0ae-4ddd-40c5-87a2-65b425707e6d · outbound
This paper cites Tuncer and H.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Tuncer and H
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.790224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b1a94562-ef68-4df8-a5e5-0c4436e4166a · outbound
This paper cites an unresolved cited work.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:51:00.777479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 657cb8ba-6020-463e-a96f-a4a2da79263c · outbound
This paper cites Baygin, O.
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach Baygin, O
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.764084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 67acc7eb-aa91-4bc4-9294-75dc5f68d82b · outbound
This paper cites [Online].
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach [Online]
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:51:00.750696Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.