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Paper Citation Record · LEDGER

Exponential decay in $O(n)$-invariant quantum spin systems

As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2506.22254.

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

pith.paper-citation-record.v1
2506.22254 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:32:35.790822Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

21 of 21 outbound references displayed

  • verified exact2
  • verified fuzzy17
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 86f5cb54-aff4-4837-8ee0-07a48483faa6 · outbound

This paper cites Aizenman and B.

Exponential decay in $O(n)$-invariant quantum spin systems Aizenman and B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:39.482800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:33.935919Z digest=sha256:6614bb59efe829bd3708c1a565116a8a825377b0f468f1e3729454e1e94bce92

Observation f2b170c5-0cf3-45e1-b72c-8935e513dd8f · outbound

This paper cites Benassi, J.

Exponential decay in $O(n)$-invariant quantum spin systems Benassi, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:39.302445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.013251Z digest=sha256:4a8b013e166b7dc3410901cba6a4c2fc18c016025e1a9d0dfb3856e048b5f814

Observation 6f79a8ec-c5e2-4d51-a251-52da3c2b164f · outbound

This paper cites Improved bounds for connection probabilities in random loop models.

Exponential decay in $O(n)$-invariant quantum spin systems Improved bounds for connection probabilities in random loop models

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:32:36.182143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.073521Z digest=sha256:742f0d1e1e8855945a72cdd6b319ec092941deb54191ed39f349a2ef2b59d476

Observation b3dfa551-2a98-4bf5-8c56-1b7ffc030c00 · outbound

This paper cites Biskup,Reflection Positivity and Phase Transitions in Lattice Spin Models, in R.

Exponential decay in $O(n)$-invariant quantum spin systems Biskup,Reflection Positivity and Phase Transitions in Lattice Spin Models, in R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:39.133867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.166529Z digest=sha256:8649bbe970870db4ef24d9a7d2bb223097e9b6040b2b459b88c5fba03c6aaffb

Observation 1f59b233-3ca7-4bcf-b0d8-902340902f6f · outbound

This paper cites an unresolved cited work.

Exponential decay in $O(n)$-invariant quantum spin systems Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:32:38.972912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.262561Z digest=sha256:296bab3b4d6ed039a62d76a14db4177ad5dbfd2f35e2c819a6dc56e3fdca253b

Observation 6a22f370-68bb-4842-b6bf-c3a502c08c35 · outbound

This paper cites Dimerization in $O(n)$-invariant quantum spin chains.

Exponential decay in $O(n)$-invariant quantum spin systems Dimerization in $O(n)$-invariant quantum spin chains

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:32:35.963403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.407993Z digest=sha256:3c9df1f4d8de58857e2eee3e55faa5fe12ee5c1de3340f41977fc8772b066374

Observation 37a74584-51c8-487f-8e01-7ad8d720e753 · outbound

This paper cites Björnberg, D.

Exponential decay in $O(n)$-invariant quantum spin systems Björnberg, D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:38.824473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.512837Z digest=sha256:827874345b7eb095d09522b66d9443297cceec3308f65fa1b7d1b8181653f132

Observation 815deed7-02ce-4a2e-8e51-dc0017c36ae1 · outbound

This paper cites Chayes, L.

Exponential decay in $O(n)$-invariant quantum spin systems Chayes, L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:38.644003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.601986Z digest=sha256:9e0cc8e6044c10722aff9b5ddc55cecccdeb03085a4744cb45f5337babcad88c

Observation e2ac6f5d-2a6b-439d-a301-a6c86057f4fd · outbound

This paper cites Dyson, E.

Exponential decay in $O(n)$-invariant quantum spin systems Dyson, E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:38.502712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.693597Z digest=sha256:1f6b06a30fb578d15f8041644a41a29438de6c045c8b63c07af949e0b32e18d9

Observation 8596e4ca-e53c-4e34-9ec9-c4a9ffcb1789 · outbound

This paper cites Fröhlich, C.

Exponential decay in $O(n)$-invariant quantum spin systems Fröhlich, C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:38.372531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.811774Z digest=sha256:43c4122081d43396c9fe84227c334aaa550be5ed159f899ef5407106b76a2a6d

Observation d33c0ddb-6aac-4d29-b4ff-3b0f74eac0ad · outbound

This paper cites Georgii and T.

Exponential decay in $O(n)$-invariant quantum spin systems Georgii and T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:38.226626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:34.883595Z digest=sha256:1a5be3f8a394707f42dd77d39ba1ada224f35697d4c541db017b46b7588e9c0b

Observation cf8c603d-9c48-46df-b4a3-bd21449bdb55 · outbound

This paper cites Kennedy, E.

Exponential decay in $O(n)$-invariant quantum spin systems Kennedy, E

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:38.038490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.003517Z digest=sha256:943086e11bd44736708a6da467a9f0822d4a483c96da62c51acce87774bb3040

Observation e4d9b1ed-25a2-4c9a-9504-5bdad7011200 · outbound

This paper cites Kennedy, E.

Exponential decay in $O(n)$-invariant quantum spin systems Kennedy, E

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:37.847387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.102711Z digest=sha256:751644bb48bc0ab28462f487a6cee63f868eca0723f229392bd0cfa7c55184da

Observation 6b4aeb3c-e988-4588-ba01-9a5e9af37b5a · outbound

This paper cites an unresolved cited work.

Exponential decay in $O(n)$-invariant quantum spin systems Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:32:37.669818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.172206Z digest=sha256:6d612c2e03de994696f61bb7dd9b52bce2716337c3b5770eb579f95146df896f

Observation 66649323-140f-47d2-95b9-67ba309c1a45 · outbound

This paper cites Last and M.

Exponential decay in $O(n)$-invariant quantum spin systems Last and M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:37.508847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.243098Z digest=sha256:9cd7a027109d10f324dd7bad24e7c99cda2ce64649e3d2fd80be180048bafb84

Observation aab08ac5-4e97-4b80-90a6-355414ce2c1b · outbound

This paper cites Lees,Existence of Néel Order in the S=1 Bilinear-Biquadratic Heisenberg Model via Random LoopsComm.

Exponential decay in $O(n)$-invariant quantum spin systems Lees,Existence of Néel Order in the S=1 Bilinear-Biquadratic Heisenberg Model via Random LoopsComm

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:37.312506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.360437Z digest=sha256:f0aa5be32295bf8085d54379d940b11b3d444f6b7a3dd682323a23acc34e4618

Observation 93d9ef16-ccd6-4f4c-81bd-7e391e4155be · outbound

This paper cites Lees,Long-range order for the spin-1 Heisenberg model with a small antiferromagnetic interactionJ.

Exponential decay in $O(n)$-invariant quantum spin systems Lees,Long-range order for the spin-1 Heisenberg model with a small antiferromagnetic interactionJ

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:37.171469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.457801Z digest=sha256:059e969d99049b13d6eb6eb325022cca315fb18e1de49e07adf9cd4e9a190836

Observation 46383b64-dc79-4cc6-9915-1e79421fbacf · outbound

This paper cites McBryan, T.

Exponential decay in $O(n)$-invariant quantum spin systems McBryan, T

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:36.991921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.556702Z digest=sha256:7b31cbad8e989d2518994de8f69a168e3b0f8155b14354d38a375c7e68073a1b

Observation cb66cbce-799e-47b8-8ba2-18087cd12ad1 · outbound

This paper cites Mermin, H.

Exponential decay in $O(n)$-invariant quantum spin systems Mermin, H

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:36.751833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.680669Z digest=sha256:887e9a614ef16feabffa1d30ee6636bfaeae900fb9b677a97da2e7cb378786f3

Observation b31b9304-da02-4fe2-9973-9e9fa3bfe317 · outbound

This paper cites Tóth,Improved lower bound on the thermodynamic pressure of the spin1/2 Heisenberg ferromagnet, Lett.

Exponential decay in $O(n)$-invariant quantum spin systems Tóth,Improved lower bound on the thermodynamic pressure of the spin1/2 Heisenberg ferromagnet, Lett

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:36.539970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.772611Z digest=sha256:f19a90caecd9d401990bae0c811da1363f3f2d515ffaf18e993eda1fca128cc1

Observation 987c9c40-c7c2-452c-bfed-47baa59fe15d · outbound

This paper cites Ueltschi,Random loop representations for quantum spin systems, J.

Exponential decay in $O(n)$-invariant quantum spin systems Ueltschi,Random loop representations for quantum spin systems, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:32:36.381639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:32:35.790822Z digest=sha256:7252d019fb4d1b1818f7177299b2bd057acc03b74b9944b37a391f145eeafc04

Pith citing papers

No inbound Pith citation observations are available.