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Paper Citation Record · LEDGER

A Simple Proof of Thue's Theorem on Circle Packing

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1009.4322.

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

pith.paper-citation-record.v1
1009.4322 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:19:14.014956Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T11:01:30.216099Z

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 057eb6f2-9d63-4b43-bc7c-d94e26293f6d · inbound

Sphere Packing on a Quantum Computer for Chromatography Modeling cites this paper.

Sphere Packing on a Quantum Computer for Chromatography Modeling A Simple Proof of Thue's Theorem on Circle Packing

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T05:19:14.014956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:19:14.014956Z digest=sha256:3c655f301e4973b1d9b052ec432f3b778fe27338bd5659c18cc31211958d2100

Observation d9d16cdb-25eb-46ff-ad6f-3381a58f364d · inbound

On Dense Tetrahedra in Binary Sphere Packings cites this paper.

On Dense Tetrahedra in Binary Sphere Packings A Simple Proof of Thue's Theorem on Circle Packing

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T15:45:20.161603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:45:20.161603Z digest=sha256:89c04332615e22d5e253854d16acdad4b4042c13f44f4eaffd99379a7cfa90b1

Observation 1b4d596e-cfce-479c-b403-9024739775c1 · inbound

Neural optimization for quantum architectures: graph embedding problems with Distance Encoder Networks cites this paper.

Neural optimization for quantum architectures: graph embedding problems with Distance Encoder Networks A Simple Proof of Thue's Theorem on Circle Packing

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-07-04T17:34:06.323859Z

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=2026-05-07T17:21:56.801163Z digest=sha256:f276ea0a19f72e43bfc922e1ae27470c8e31afcb6a86aaff4f945cc0e5fbd1f1

Observation 37735b9b-8100-467e-99c2-0f12bb304911 · inbound

Neural-powered unit disk graph embedding: qubits connectivity for some QUBO problems cites this paper.

Neural-powered unit disk graph embedding: qubits connectivity for some QUBO problems A Simple Proof of Thue's Theorem on Circle Packing

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-07-04T17:34:06.323859Z

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=2026-05-08T17:30:54.314708Z digest=sha256:0b81bc07600aec6efdd9bc25ae9d664d487b138e7cb263fb2c185942cf76e1dc