Paper Citation Record · LEDGER

Existence and Uniqueness of Permutation-Invariant Optimizers for Parisi Formula

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2407.13846.

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

pith.paper-citation-record.v1
2407.13846 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 2026-08-22T06:32:14.747728+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:26:37.160880Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T05:30:23.456663Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-10T05:30:23.456663Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation f5c9531c-3874-431c-90e9-f44ad4f96066 · inbound

On free energy of non-convex multi-species spin glasses cites this paper.

On free energy of non-convex multi-species spin glasses Existence and Uniqueness of Permutation-Invariant Optimizers for Parisi Formula

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-12T16:38:20.775360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e673fa6e-f813-4c2f-83be-4695141e7c73 · inbound

Uniqueness of Parisi measures for enriched convex vector spin glass cites this paper.

Uniqueness of Parisi measures for enriched convex vector spin glass Existence and Uniqueness of Permutation-Invariant Optimizers for Parisi Formula

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T11:26:37.160880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a546626c-9e85-4d8b-a82f-c5d76d1b2ed5 · inbound

Balanced multi-species spin glasses cites this paper.

Balanced multi-species spin glasses Existence and Uniqueness of Permutation-Invariant Optimizers for Parisi Formula

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:10:42.726238Z

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.

Observation d4f880f6-e16e-4142-ba58-72eddc770c45 · inbound

Ground state energies of multipartite $p$-spin models -- partially lifted RDT view cites this paper.

Ground state energies of multipartite $p$-spin models -- partially lifted RDT view Existence and Uniqueness of Permutation-Invariant Optimizers for Parisi Formula

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-15T16:27:25.652847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.