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Paper Citation Record · LEDGER

What is actually a metric graph?

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:1912.07549.

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

pith.paper-citation-record.v1
1912.07549 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:12:47.514478Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T11:35:43.225522Z

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 597bec07-668e-4706-af65-6fab98da1246 · inbound

Combinatorial properties of continuous graphs: A survey of challenges, solutions and open problems cites this paper.

Combinatorial properties of continuous graphs: A survey of challenges, solutions and open problems What is actually a metric graph?

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-10T15:12:47.514478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:12:47.514478Z digest=sha256:eef9cb81c530d0f67f1b637decff2c0591c685cb421f970f2e9a9f7d106932cd

Observation ba501c3c-aff9-47c8-a580-afd0885c3a5f · inbound

On the heat content of compact quantum graphs cites this paper.

On the heat content of compact quantum graphs What is actually a metric graph?

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-07T21:34:01.918993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T21:34:01.918993Z digest=sha256:d135152b151c5ef4f11fa3f9e55f350853104c8df631a144351d03e5b42f4c33

Observation 2b08ee65-328c-40b2-ac68-f183a64f8ea5 · inbound

General diffusions on metric graphs as limits of time-space Markov Chains cites this paper.

General diffusions on metric graphs as limits of time-space Markov Chains What is actually a metric graph?

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-06T10:34:21.341278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:34:21.341278Z digest=sha256:5e85f418d7a00f5ae9e63a6bf7f6f4f1e4324a6927bc7cbd7f0adbfbe9997221

Observation bce37f29-36d1-4376-83d2-bac7c694a826 · inbound

On Courant-type bounds and spectral partitioning via Neumann domains on quantum graphs cites this paper.

On Courant-type bounds and spectral partitioning via Neumann domains on quantum graphs What is actually a metric graph?

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-04T16:41:06.451513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T16:41:06.451513Z digest=sha256:d4a8649a6524c1b94005a42513fd37517faf6d16d6acc126be151093a8f1ab9d

Observation 22e66a40-b83d-4f8c-a329-d88c26409f7a · inbound

Ornstein--Uhlenbeck semigroup on rooted trees cites this paper.

Ornstein--Uhlenbeck semigroup on rooted trees What is actually a metric graph?

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:35:43.227558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T04:18:01.128538Z digest=sha256:8e154f9bc8a4b62603b32e20246fd787c19fd94b5ea992047245bc53a02dbbe0

Observation 216e0b1a-89ab-4e1a-a506-0e76bb1055f3 · inbound

The role of expanders in the spectral geometry of metric graphs cites this paper.

The role of expanders in the spectral geometry of metric graphs What is actually a metric graph?

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-02T02:40:57.872031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:40:57.872031Z digest=sha256:19ea0645c653d38f0efd3b095d80efc909f084f1f27d0fb26a5a22771bebedd8