Paper Citation Record · LEDGER

Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1812.02448.

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

pith.paper-citation-record.v1
1812.02448 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:00:59.747763Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T01:26:24.880884Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation efa77ace-1e6f-4797-ae8d-d62e1182b11f · inbound

The Geometry of Loop Spaces III: Isometry Groups of Contact Manifolds cites this paper.

The Geometry of Loop Spaces III: Isometry Groups of Contact Manifolds Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-24T14:34:34.810466Z

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 ad235f45-e4b1-4d96-ad52-56ce99e0017f · inbound

Exotic families of embeddings cites this paper.

Exotic families of embeddings Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-10T17:00:59.747763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b162b7f-dca7-4990-bc8a-196508138c50 · inbound

Gauge theory for families cites this paper.

Gauge theory for families Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$

Reference 20

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T09:18:31.535220Z

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 bf9d2773-3da2-455f-9e7b-538aab12e382 · inbound

Diffeomorphism groups and gauge theory for families cites this paper.

Diffeomorphism groups and gauge theory for families Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$

Reference 88

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T09:33:41.252127Z

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 aa117d81-169b-4b16-a852-3dfd8fee6b9e · inbound

Infinite-dimensionality of the rational homotopy groups of the space of long embeddings of codimension 2 cites this paper.

Infinite-dimensionality of the rational homotopy groups of the space of long embeddings of codimension 2 Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$

Reference 90

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T01:26:24.882404Z

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.