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Paper Citation Record · LEDGER

On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2110.08728.

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

pith.paper-citation-record.v1
2110.08728 v1

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

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:29:50.363440Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T22:39:23.484110Z

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 ad648e1b-4286-4132-b2fe-f61a0ce71a41 · inbound

Minimizing Lattice Energy and Hexagonal Crystallization cites this paper.

Minimizing Lattice Energy and Hexagonal Crystallization On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-12T12:29:50.363440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:29:50.363440Z digest=sha256:b86ebd8c0833e492c5a1d9ac72479a091b2e3a488c96ce3230cdfa2f86c9fb34

Observation a727648d-ac8d-42b0-b197-46ad1152e6f2 · inbound

Signs of high order derivatives for the theta and Epstein zeta functions and application cites this paper.

Signs of high order derivatives for the theta and Epstein zeta functions and application On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:39:23.489496Z

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=2026-08-10T22:39:23.406759Z digest=sha256:c553945d261b98cb2712fa6ad872e707bdbf1b355a5da9a9a2d8198127c460ad