Paper Citation Record · LEDGER

On the toric lifting properties for simplicial $3$-spheres

As of 4 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2607.18706.

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

pith.paper-citation-record.v1
2607.18706 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:42:20.249152Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+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

8 of 8 outbound references displayed

verified exact0
verified fuzzy0
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 144f691d-4d78-42df-9402-2cc2802642ef · outbound

This paper cites an unresolved cited work.

On the toric lifting properties for simplicial $3$-spheres Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T14:42:19.305427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfbfaf15-8b17-4db8-b38d-fb2e4e4eaf35 · outbound

This paper cites an unresolved cited work.

On the toric lifting properties for simplicial $3$-spheres Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T14:42:19.416122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26f06156-3d85-442b-8cb9-140ac8293746 · outbound

This paper cites an unresolved cited work.

On the toric lifting properties for simplicial $3$-spheres Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T14:42:19.618453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb0caddc-e14e-4ad3-b919-1668c0f1ad6c · outbound

This paper cites an unresolved cited work.

On the toric lifting properties for simplicial $3$-spheres Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T14:42:19.742556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1f6038b-46b9-424c-b7c8-ab517f748223 · outbound

This paper cites Math.42(2005), no.

On the toric lifting properties for simplicial $3$-spheres Math.42(2005), no

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T14:42:19.868904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 403b902c-ed8a-440d-bdd6-9d8865f96e0d · outbound

This paper cites Stanley,The upper bound conjecture and Cohen-Macaulay rings, Studies in Appl.

On the toric lifting properties for simplicial $3$-spheres Stanley,The upper bound conjecture and Cohen-Macaulay rings, Studies in Appl

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T14:42:19.980266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c17f94a2-3e93-4ef6-990e-3bfa63842dcc · outbound

This paper cites an unresolved cited work.

On the toric lifting properties for simplicial $3$-spheres Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T14:42:20.132911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85870bc8-1fe2-485d-abfb-4498a1eda0c5 · outbound

This paper cites Math.222 (2017), no.

On the toric lifting properties for simplicial $3$-spheres Math.222 (2017), no

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T14:42:20.249152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.