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Paper Citation Record · LEDGER

On a spherically lifted spin model at finite temperature

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:38.924400Z digest=sha256:0a16f7fd932ad2fb38e05d85e1b4319cc3f89b2aeb58659b1a0def0513f87f09

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:40.032698Z digest=sha256:ce6f86b1c2e0f6a0ce0c9ebbbc31310f34021573bc67ba207a229d7994659f52

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:43.112729Z digest=sha256:226b7c816afdf271a28496afeb5a002950dd26dfde0fa03790a36a448ee4a360

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:43.476646Z digest=sha256:ced9543edcf570ad7e247a6eb9d49f44c518e170e8b1508e82e008a2087df6ca

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:44.169829Z digest=sha256:f60e78d2646e4e7ff1f06a42612339768e5a76dfb829a41ba9bbc8b7c74cc4c9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:45.253152Z digest=sha256:8c5c1e4e77a1db2ecf8317519872d003b9dcf97d48d9093441949db8463b9d6f

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:ce7f918ddeae2d69b313def750b67ec9fdb0b45b73a416c9fee1818c1e0609bd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:48.144272Z digest=sha256:3a897ecc8374dd6cff951e9bd761520056e11dba0878f228a9bffae96bdc83bf

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:49.612117Z digest=sha256:20624c885c68d6456a41391d3f7eea7b7fe452b9f7ad700c4b1be3bd2baab8b9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:49.904563Z digest=sha256:558a1cc8f88970ae72cfedb20f58574e90efbab34fec279c3dcf7f20404e9d02

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:51.028689Z digest=sha256:2d0b121764257f790b74b5496ac43aa1ddc62d0ead28cbd4768c79d1f6654a63

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:38:53.659954Z digest=sha256:ead6f96ab516549bceb683d6b2abf3558185e0b6f5d015d87b67b70147432cb2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.245674Z digest=sha256:402b9f69bb4a4868445cb577aa578fe6e1a33036f5f0613a69271e28980df275

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.340891Z digest=sha256:f473c90a066ac7855302f43e93abe68d3c2fbec76b09f2f91f8cf6f3beaa3b88

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.436687Z digest=sha256:f631934e732b5988502cff0eecd1aba03d3ada7c63c909c7f93ef057d7591bee

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.531166Z digest=sha256:ba80c10eeeee525dea28426f4e6fc512c23a4506cd7e184b1e37d58ef9fff1da

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.599227Z digest=sha256:b7fe59c6262b654c4a42a4a68173a00395f5de713975f23a4b1ef7d0168e5aee

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.702114Z digest=sha256:9f7cc4493c92bad95048ad6d3358554ad5f070be3184a547ba35ab2e729ef4a8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.785049Z digest=sha256:c2ac2eaa8193be9537520cc78497904c210976c22577b0bf7db9ad303795af2d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.847740Z digest=sha256:2e774d8abef533bcdaaf76e7f6b7655f3701acd948c7916260e93c6c5687f981

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.916791Z digest=sha256:6c8c6bc87b9797e37f2f5c465739b9a104bb2ff66c669ab032ed24f795e41776

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:39:46.953889Z digest=sha256:fb05da9f448d0cba3aa104442e9435b45765144bd00a6a1401a798418d814a29

Pith citing papers

No inbound Pith citation observations are available.