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Paper Citation Record · LEDGER

Splitting spheres for $S^2$-links in $S^4$

As of 20 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.02785.

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

pith.paper-citation-record.v1
2608.02785 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:13:45.828333Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e32a4c4d-e6ff-4c0d-966c-01d81430f680 · outbound

This paper cites Knotted 3-balls in.

Splitting spheres for $S^2$-links in $S^4$ Knotted 3-balls in

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:46.139791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.755590Z digest=sha256:15dec988ad92e685a68e9f18ffe0f49dddf38414208bfc8a89c7ed4bee15ad98

Observation 905a29fb-b4c5-476f-9641-9910e936cf68 · outbound

This paper cites International Mathematics Research Notices , volume=.

Splitting spheres for $S^2$-links in $S^4$ International Mathematics Research Notices , volume=

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:46.126175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.760041Z digest=sha256:9f183043e58d9db467eb27712abb183d72a0c922e2499eb26f28e9c92281c069

Observation 2849b3f7-0c3c-47e4-9294-7fbdc30c26da · outbound

This paper cites Inventiones mathematicae , volume=.

Splitting spheres for $S^2$-links in $S^4$ Inventiones mathematicae , volume=

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T15:13:45.766109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:13:45.766109Z digest=sha256:677a79f888012e23031e49492186cf39c574bcafbb5e380bcada37f4d0b5237d

Observation c7426e60-b0e0-4ac4-82ce-0c6eeb4765b5 · outbound

This paper cites 2014 , publisher=.

Splitting spheres for $S^2$-links in $S^4$ 2014 , publisher=

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:46.090344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.770107Z digest=sha256:b13d2a4dc97c1f91ca1d44fabc86f46d9c9422e2cab4d319ee7018af90b0e3f9

Observation 27f5fb79-dc49-44bc-a55c-6c5814ff25e0 · outbound

This paper cites New York Journal of Mathematics Monographs , volume=.

Splitting spheres for $S^2$-links in $S^4$ New York Journal of Mathematics Monographs , volume=

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:46.078025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.774662Z digest=sha256:1d6d912be091a21036b626cb888e9a3e237d2fc86cd32804143e222cb413a980

Observation adb3ddc1-2d77-4f07-b48c-32ab1e4bddd3 · outbound

This paper cites 2002 , publisher =.

Splitting spheres for $S^2$-links in $S^4$ 2002 , publisher =

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:46.060843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.779155Z digest=sha256:9b13388b4c796139b609cb1edb9c35ababf03898c902ead834c881883b6da3fd

Observation a99e709d-d033-4328-b34e-794ea5f34957 · outbound

This paper cites Non-isotopic splitting spheres for a split link in.

Splitting spheres for $S^2$-links in $S^4$ Non-isotopic splitting spheres for a split link in

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:46.047880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.783205Z digest=sha256:6fb5b67c03ec54ee9a986ce4bb852fd24a0e3582a2c354936d01cf939b27be81

Observation 6e20bafe-0c6a-4b59-bdb7-d00cec9d5094 · outbound

This paper cites Mathematische Annalen , year=.

Splitting spheres for $S^2$-links in $S^4$ Mathematische Annalen , year=

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:46.029787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.787331Z digest=sha256:5f461cfeecaf1c8d32de21c3ab880153fccd022e856fe1e8b2cd3c818a858f6b

Observation 6a62f466-e477-4e95-b4c0-33dd597e3572 · outbound

This paper cites Knotting and linking in 4 and 5 dimensions from barbell diffeomorphisms.

Splitting spheres for $S^2$-links in $S^4$ Knotting and linking in 4 and 5 dimensions from barbell diffeomorphisms

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T15:13:45.922020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.790796Z digest=sha256:dd3fda814f288a7cb81cb7471a9456c87f175d15909a75cf2018c486c518956b

Observation 212cd943-589d-487b-a6de-2b6e5346825e · outbound

This paper cites Exotic codimension-1 submanifolds in 4-manifolds and stabilizations.

Splitting spheres for $S^2$-links in $S^4$ Exotic codimension-1 submanifolds in 4-manifolds and stabilizations

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T15:13:45.795250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:13:45.795250Z digest=sha256:e2cf2152a9ce73a5f4ede0ddc2eba689010817a96c8c4eeb02a904b63ab71d34

Observation 92389ba7-2641-455e-9a3e-c9363131bc12 · outbound

This paper cites On the mapping class groups of 4-manifolds with 1-handles.

Splitting spheres for $S^2$-links in $S^4$ On the mapping class groups of 4-manifolds with 1-handles

Reference 11

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T15:13:45.887882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.799164Z digest=sha256:3b00a789ab5f13d7cdc9e87a43d987dc48af5d2f7a2d4f48dca952f8f1ae67a6

Observation 6059fcfb-c849-483e-baea-83ccbf275455 · outbound

This paper cites Annals of Mathematics , volume=.

Splitting spheres for $S^2$-links in $S^4$ Annals of Mathematics , volume=

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:46.014381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.803598Z digest=sha256:f42a1a7ed26f2a0a3ec990103149d9130898f8e775e3292a5217186dea793bcc

Observation 943aa709-5909-44a3-960e-9d083d0290ca · outbound

This paper cites Ends of maps.

Splitting spheres for $S^2$-links in $S^4$ Ends of maps

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:45.996805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.807986Z digest=sha256:e0200a2733c70bb714d96aeb30254106d98924ac8c4572869792a4b7f454285c

Observation 960d1f4a-db30-489f-97d4-d79a196abcf1 · outbound

This paper cites American journal of mathematics , volume=.

Splitting spheres for $S^2$-links in $S^4$ American journal of mathematics , volume=

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:45.981121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.811812Z digest=sha256:e99399e3ee897ccb6e2dbc81e1e8f20da3f3a32e9eedb5b5344cf101d43e22af

Observation 2a2395aa-1c64-4391-9c67-af82ddb682cd · outbound

This paper cites Journal of Pure and Applied Algebra , volume=.

Splitting spheres for $S^2$-links in $S^4$ Journal of Pure and Applied Algebra , volume=

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:45.965835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.815534Z digest=sha256:aafb0ea033dbfcfffd12730f9c036bb60fdab9affa0a65acd57b809223fb1a53

Observation b5175ea3-eab1-4693-85f3-6d0b09f7f8a8 · outbound

This paper cites Splitting 3-spheres for unknotted 2-spheres in.

Splitting spheres for $S^2$-links in $S^4$ Splitting 3-spheres for unknotted 2-spheres in

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:45.952139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.819835Z digest=sha256:2409f25494737d6097d1ee9286283749b1a6ba522c4ef874b042c142c24a179c

Observation 3ad46d7c-b57d-44ba-bfcd-8b844eb44f33 · outbound

This paper cites Mathematics of the USSR-Sbornik , volume=.

Splitting spheres for $S^2$-links in $S^4$ Mathematics of the USSR-Sbornik , volume=

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:45.935324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:13:45.823915Z digest=sha256:33ad70a6129cb34ef46dca5da22c30236c8c6b29eb60d106dad75fb5a5b29d4f

Observation f2f9f265-3cf0-4fa2-92ea-5ab52cebcd6c · outbound

This paper cites Theta-graph and diffeomorphisms of some 4-manifolds.

Splitting spheres for $S^2$-links in $S^4$ Theta-graph and diffeomorphisms of some 4-manifolds

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T15:13:45.828333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:13:45.828333Z digest=sha256:98c9c6271cb3f39e6ea015c8d0dbc1c35daf4e9fa26ae5955868ea6762edad26

Pith citing papers

No inbound Pith citation observations are available.