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Paper Citation Record · LEDGER

On a spherically lifted spin model at finite temperature

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.02220.

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

pith.paper-citation-record.v1
2506.02220 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:39:46.953889Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c32c6fa9-1611-40b6-9d4d-61299a72cc69 · outbound

This paper cites Abramowitz, I.

On a spherically lifted spin model at finite temperature Abramowitz, I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:12.049434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:38.924400Z digest=sha256:629418a084bf063a1a6936af7bef26f08623ecd804e6e54196e60c1a5adbd768

Observation a109a505-c822-43a1-907f-3151a02494e1 · outbound

This paper cites Allen-Zhu, Y.

On a spherically lifted spin model at finite temperature Allen-Zhu, Y

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:12.004412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:40.032698Z digest=sha256:e31ea400d37543be0d35dad15edadcb28544ff54f36e238f7d8d26aa1fbf8e43

Observation fc1053eb-6f4c-4784-946b-893320d3e154 · outbound

This paper cites Arora, S.

On a spherically lifted spin model at finite temperature Arora, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:11.969674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:43.112729Z digest=sha256:796329466343644c5b5e6ce61f4131e0477f4616faae4736fdd04d1a35daa775

Observation 1f6be053-fa65-42c4-9661-d0ed4c9dbfb7 · outbound

This paper cites Boumal, Nonconvex phase synchronization , SIAM Journal on Optimization, 26 (2016), pp.

On a spherically lifted spin model at finite temperature Boumal, Nonconvex phase synchronization , SIAM Journal on Optimization, 26 (2016), pp

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:11.847584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:43.476646Z digest=sha256:469b1a35c8445f570535c83238d3b5d9e8ebdb823a284f90bdf0c1c1069537a4

Observation 1b4a40ab-185a-4cf2-9d9a-5ab33ac1e510 · outbound

This paper cites an unresolved cited work.

On a spherically lifted spin model at finite temperature Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:40:11.634356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:44.169829Z digest=sha256:c5fe69deaa79b77888037303ec33af37cb5b28883fca125dc9e59f95e0022bc6

Observation fce7fca2-1909-486b-98b7-900e787dc7d6 · outbound

This paper cites Du and J.

On a spherically lifted spin model at finite temperature Du and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:09.980172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:45.253152Z digest=sha256:e3583617fcca50a75c2436c5a606998da1d2b6ff5fb574f15b302acc6cb17575

Observation e4061d2a-1fa4-458f-bcf9-ba33a3693d02 · outbound

This paper cites Gradient Descent Provably Optimizes Over-parameterized Neural Networks.

On a spherically lifted spin model at finite temperature Gradient Descent Provably Optimizes Over-parameterized Neural Networks

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T11:38:46.163488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:38:46.163488Z digest=sha256:3d36865a5a8fb4b8ea1a3d6bfcb55dfd3c8cd000fc88ff086b1acde1267b7fdc

Observation 9ec7918c-e6f3-45a2-9bb2-7be93a32be04 · outbound

This paper cites an unresolved cited work.

On a spherically lifted spin model at finite temperature Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:40:09.900346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:48.144272Z digest=sha256:44d4e7eeea52d05ba4fa2c01ce148822a0fb33340141411e2f20ad71cabc6ae2

Observation 48144c35-4c54-48b8-87e9-f1d0d7f299f8 · outbound

This paper cites Evans, Measure theory and fine properties of functions , Routledge, 2018.

On a spherically lifted spin model at finite temperature Evans, Measure theory and fine properties of functions , Routledge, 2018

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:09.777803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:49.612117Z digest=sha256:dc9bbebc1a059b8f64e63d0e1febe31d967d05fbc14e18938d031832d6f1d435

Observation 0b5bfad1-fb80-4924-8c00-005a428515a8 · outbound

This paper cites an unresolved cited work.

On a spherically lifted spin model at finite temperature Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:40:09.314003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:49.904563Z digest=sha256:f19a1d85f52db69a281b599797a438153893f6f6d47946e585972bdaa2b1ff27

Observation b080022b-c1e4-4527-a733-d89334ab86af · outbound

This paper cites Geman and D.

On a spherically lifted spin model at finite temperature Geman and D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:07.102109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:51.028689Z digest=sha256:6987980e215a09506459e84015a2228eedba086445aa894acc448bc0d2ca7327

Observation 0229b13b-eaad-474d-b266-60bf281ef580 · outbound

This paper cites an unresolved cited work.

On a spherically lifted spin model at finite temperature Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:39:53.212724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:38:53.659954Z digest=sha256:a3a0a57b20c19c48feff093610d9c87770522cb3424c994e7a538ca78745e276

Observation 00011d4d-d653-44c5-af88-b7570d635e61 · outbound

This paper cites Li and Y.

On a spherically lifted spin model at finite temperature Li and Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:39:53.018193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.245674Z digest=sha256:78a27decbec0219e4952441eee22c64b3703a1a367f387ee6e30882c5fee6ffb

Observation db12b430-c22e-477d-b0fc-e4acd8d33929 · outbound

This paper cites an unresolved cited work.

On a spherically lifted spin model at finite temperature Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:39:52.776633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.340891Z digest=sha256:5dadb5cb807530f8705952f7890b822225dc8eb73da8fca2d7fea22fafcd1a55

Observation 3688c4e1-cb60-4bb4-948e-c4d054d85a91 · outbound

This paper cites an unresolved cited work.

On a spherically lifted spin model at finite temperature Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:39:52.465347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.436687Z digest=sha256:305206b7c416f249068a0dab4419bab9ab1505eed2bdfab17c7f445bdd206f02

Observation 837b4e2d-57ed-4144-bb36-1290223ce8d6 · outbound

This paper cites Makeenko, Methods of contemporary gauge theory , Cambridge University Press, 2002.

On a spherically lifted spin model at finite temperature Makeenko, Methods of contemporary gauge theory , Cambridge University Press, 2002

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:39:52.328850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.531166Z digest=sha256:fcdb506309b3540585cb55e51960dee5773665e1f6be24657ecf99d890de5171

Observation 991091b2-bac1-422c-8354-7983cd7fc5fb · outbound

This paper cites Pastur, Disordered spherical model, Journal of Statistical Physics, 27 (1982), pp.

On a spherically lifted spin model at finite temperature Pastur, Disordered spherical model, Journal of Statistical Physics, 27 (1982), pp

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:39:52.178989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.599227Z digest=sha256:b3ec46de938e640b7c0c9e31b864bf6e8fe99329cf58387d933140a4432b8f4d

Observation 93696c9f-812f-4f7f-9280-7e4ad1f5b854 · outbound

This paper cites Stanley, Exact solution for a linear chain of isotropically interacting classical spins of arbitrary dimen- sionality, Physical Review, 179 (1969), p.

On a spherically lifted spin model at finite temperature Stanley, Exact solution for a linear chain of isotropically interacting classical spins of arbitrary dimen- sionality, Physical Review, 179 (1969), p

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:39:51.998154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.702114Z digest=sha256:0cd794acb963f808c1becf6f16c163875a62801b023e4c6f1f661ddbe402d4e4

Observation b63c81d4-fcbe-448c-be2f-136f12a5755e · outbound

This paper cites an unresolved cited work.

On a spherically lifted spin model at finite temperature Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:39:51.789374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.785049Z digest=sha256:572c18effca670e39df2f577bb2f2420ed7d3898cb5dd7a0d5d792c0a58ab7fd

Observation 7230ff45-aafe-4671-b128-c48a95130e29 · outbound

This paper cites Sun, Perturbation bounds for the cholesky and qr factorizations, BIT Numerical Mathematics, 31 (1991), pp.

On a spherically lifted spin model at finite temperature Sun, Perturbation bounds for the cholesky and qr factorizations, BIT Numerical Mathematics, 31 (1991), pp

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:39:47.675763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.847740Z digest=sha256:90d9f45d2dafe5c76424d22bc7e767b5e72aed68610902d26567bb9420b484d4

Observation e2698f71-dd4a-490c-ba11-e0f9a0e8ed02 · outbound

This paper cites V andenberghe and S.

On a spherically lifted spin model at finite temperature V andenberghe and S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:39:47.435155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.916791Z digest=sha256:57146cd9ca687daca9ad2f7a18cfc27d09b9aaaf417c55e8e6d8671680ba16c5

Observation 92de8868-7c2f-4170-a166-badfc4d6873a · outbound

This paper cites Zou and Q.

On a spherically lifted spin model at finite temperature Zou and Q

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:39:47.127442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T11:39:46.953889Z digest=sha256:416005c844d208b4b336cf8b348d1fddaa471c977efe49a5202099b6f055d92c

Pith citing papers

No inbound Pith citation observations are available.