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Paper Citation Record · LEDGER

A Sard theorem for graph theory

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1508.05657.

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

pith.paper-citation-record.v1
1508.05657 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:36:29.174305Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T18:54:02.010736Z

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 6163e154-7674-4d61-b9c6-fdd0c4239b41 · inbound

Dehn Sommerville Manifolds cites this paper.

Dehn Sommerville Manifolds A Sard theorem for graph theory

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-05T18:54:02.134354Z

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=2026-08-05T18:53:53.532180Z digest=sha256:8ad0c0f541a8bb5cf846c5d05aaa62ba1c98c87360868e2e25bdbfb6783bba05

Observation 581484b6-8218-4f8a-8b38-0e0b0a0fe892 · inbound

Euler Characteristics of Random Manifolds cites this paper.

Euler Characteristics of Random Manifolds A Sard theorem for graph theory

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-31T18:23:20.223364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T18:23:20.223364Z digest=sha256:cf2562f39ce10325eeb4a1019b27da7c00a39eba1c2c3825ac5ea9e90bf53302

Observation c464ca90-65cb-49cd-a82a-429b2e13d2de · inbound

Elements of finite geometry I cites this paper.

Elements of finite geometry I A Sard theorem for graph theory

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-10T04:36:29.174305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:36:29.174305Z digest=sha256:348426a530dd5e31a39416b20821fc25e6768b7e92ad4524ff75202d53884f51