Paper Citation Record · LEDGER

The characteristic 2 anisotropicity of simplicial spheres

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2012.09815.

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

pith.paper-citation-record.v1
2012.09815 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:39:26.271721Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T17:33:15.611899Z

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 674d4643-64e2-45d2-baec-4175acc27707 · inbound

Chow functions for partially ordered sets cites this paper.

Chow functions for partially ordered sets The characteristic 2 anisotropicity of simplicial spheres

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-23T17:33:15.614893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 72d92b10-8cc4-43d4-bb80-655f21783231 · inbound

On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders cites this paper.

On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders The characteristic 2 anisotropicity of simplicial spheres

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T10:39:26.271721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18bcf91e-f98e-4d0e-b554-a186f2844bcf · inbound

Matroid analogues of Gal's conjecture cites this paper.

Matroid analogues of Gal's conjecture The characteristic 2 anisotropicity of simplicial spheres

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-10T22:15:50.267586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 139e9e70-0a22-4394-b6c8-f9700bd917e9 · inbound

Lower bounds on the $g$-numbers of spheres without large missing faces cites this paper.

Lower bounds on the $g$-numbers of spheres without large missing faces The characteristic 2 anisotropicity of simplicial spheres

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:01:49.332571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.