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Paper Citation Record · LEDGER

What is actually a metric graph?

As of 14 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 2026-08-13T06:32:02.005865+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=sha256:78270698e70cf18a82ad2e3f58fa6243406376ac9fb2637dddeb224ee4c55323

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:e880dea2c57f0c305b9e98a8746bff90d667d8fe6f8644139f96c0e1e1f6c482

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=sha256:8b7807746997e2243ba2f497964ba926985107da1ff20fa42826eeb6220ea1fd

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:af17389263965adc45d6ccec6c18c03219ad9619dd4f3d3dd731e9ea0f576b19

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T04:18:01.128538Z digest=sha256:6cf63ad6764daed41e2bb5d8824e01942183e9e634d6e838cb03eecd288f66c8

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=sha256:0194d361950d44c2fb8ab02dc51aa723c32b30abc2bd50f572c09dfc703021d6