Pith. sign in

Paper Citation Record · LEDGER

Simple homotopy types of independence complexes of graphs involving grid graphs

As of 16 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:1908.09356.

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

pith.paper-citation-record.v1
1908.09356 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:25:20.245453Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

7 of 7 outbound references displayed

  • verified exact2
  • verified fuzzy5
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b0be075f-3a77-4610-bb73-8283617a2c72 · outbound

This paper cites Hard squares on cylinders revisited.

Simple homotopy types of independence complexes of graphs involving grid graphs Hard squares on cylinders revisited

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:25:20.308409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:25:20.216047Z digest=sha256:6869393f307a674b0684f12582581575fc49fcab684596af7fef3bf92e0b9d15

Observation e8b77fcc-9661-495e-86da-12a75dc2fb00 · outbound

This paper cites Splittings of independence complexes and the powers of cycles.

Simple homotopy types of independence complexes of graphs involving grid graphs Splittings of independence complexes and the powers of cycles

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:25:20.383445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:25:20.221427Z digest=sha256:e29d0cffff157cb3e502f673e07fc667c64440a71dd74adf218908f5c964b2a6

Observation 28d9b14e-74d4-4dd9-be48-aedd82a4961f · outbound

This paper cites Subdivision yields Alexander duality on independence complexes.The Electronic Journal of Combinatorics , 16(2):#R11, 2009.

Simple homotopy types of independence complexes of graphs involving grid graphs Subdivision yields Alexander duality on independence complexes.The Electronic Journal of Combinatorics , 16(2):#R11, 2009

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:25:20.367904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:25:20.226060Z digest=sha256:a75e9f2e80f57418f21af9adfe2c79c87f2e766dda8a25748a08d58eae921c67

Observation c3462a21-6305-4244-8a06-efe743237dfd · outbound

This paper cites Complexes of directed trees and independence complexes.Discrete Math- ematics, 309:3299–3309, 2009.

Simple homotopy types of independence complexes of graphs involving grid graphs Complexes of directed trees and independence complexes.Discrete Math- ematics, 309:3299–3309, 2009

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:25:20.352502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:25:20.230617Z digest=sha256:c012ad84c0e40048c16697e72c87af0667376b100438a7d7cab814346988bb21

Observation bfdb1493-8334-4bd0-abc7-10a41c7fff09 · outbound

This paper cites On the homotopy types of the independence complexes of grid graphs with cylindrical identification.

Simple homotopy types of independence complexes of graphs involving grid graphs On the homotopy types of the independence complexes of grid graphs with cylindrical identification

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:25:20.337609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:25:20.235286Z digest=sha256:64f9354dea85763e42867ab012ee9886172c21dfc1853065b3f702735fe48e38

Observation d72dde31-6e7b-4994-93a8-972a0e77f0c2 · outbound

This paper cites Complexes of directed trees.

Simple homotopy types of independence complexes of graphs involving grid graphs Complexes of directed trees

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:25:20.323033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:25:20.240248Z digest=sha256:cb19e6a36c93fde64b6779d51f2f5778988ed99f8934f78cf7b22a749df0e1d8

Observation b144f70b-0a92-496b-9e41-ad664105a596 · outbound

This paper cites Independence Complexes of Cylinders Constructed from Square and Hexagonal Grid Graphs.

Simple homotopy types of independence complexes of graphs involving grid graphs Independence Complexes of Cylinders Constructed from Square and Hexagonal Grid Graphs

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:25:20.287541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:25:20.245453Z digest=sha256:539974f3726e7beb70730720ec09e81dbac4800263563a8cb7146de6ce47e6e2

Pith citing papers

No inbound Pith citation observations are available.