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Paper Citation Record · LEDGER

The Graph Geometric Control Condition

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2503.18864.

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

pith.paper-citation-record.v1
2503.18864 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:54:34.805506Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T22:32:11.088724Z

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 1c8b44a6-9bc2-4b8a-9f4f-2a285ea51eab · inbound

Observable sets for Schr\"odinger equations on combinatorial graphs cites this paper.

Observable sets for Schr\"odinger equations on combinatorial graphs The Graph Geometric Control Condition

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:32:11.090724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:30:35.803681Z digest=sha256:64bc71a23e24251b502f89fbf77955ee85a835edca5917888a74101b28794601

Observation b1819814-d111-4347-86be-6182c5ad4ca3 · inbound

Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces cites this paper.

Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces The Graph Geometric Control Condition

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T05:54:34.805506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:54:34.805506Z digest=sha256:694650bb7d40cce9ebd8b651c7679046f2a90b3fcaa4caf6b88c4d5bc13ac851