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Paper Citation Record · LEDGER

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

As of 17 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:33.935919Z digest=sha256:5edf610196942b243d52436bfa0ccb3f5e68f017e0e19351fce82351b4660d11

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.013251Z digest=sha256:d8cd32ccbee7553ff81e60e5867c933a8b1d0c78fde1de25a6da438884c83d75

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.073521Z digest=sha256:8a6f96927e3e5ea7bdb3a5c5795d93d03aeefbb35759ffe6f27cf0f82a2a5718

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.166529Z digest=sha256:e4cbc9356d370ffe79221017d02a4fb25e9505948c594c9193cd707a6d750536

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.262561Z digest=sha256:6de900ee392f5127e81d84e3d16cb7fead89eb6394e55b1c4f201894588ed6ca

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.407993Z digest=sha256:668dd49236e6562651c3755f64375c011a24e6651b3564defc2cd645ce975dac

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.512837Z digest=sha256:d2024747ded799aa2350e01d8905ce16b5d74679a02eca941a66d9de892a10af

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.601986Z digest=sha256:86f499a9ac3825fe442181f8f9f1fdbb80064cb494242ac56fc6ce23eb20ec0d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.693597Z digest=sha256:44290ea7b8386f6e354bfd836203ce97240d8e1ace2b036a45c3bc6c0f8954c0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.811774Z digest=sha256:39591a8c6aac7c094d1fb746c54f309c5d58f03943a90fbe09fbcfc96a5f2ae5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:34.883595Z digest=sha256:e5d67224e17107ff99c876833c61d13884a0185508a4ff7ed0e7050ec877ee78

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.003517Z digest=sha256:a9a05c2964522aa94c69721746fb8100b41b0eeb6027f5f171d64c17fe1b9c6a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.102711Z digest=sha256:7a55c9055eebffe6ea3106e9ad09245b5592f397f5894f13880d4684146b3140

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.172206Z digest=sha256:235d2838763e3f7bbc12276469640748f073d866ea7e5a78ff7cf516e6edba48

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.243098Z digest=sha256:3a8dafe15161dfcc562ca0213154ed62ab992ba02c98aca2aa43d4bc7661b4fd

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.360437Z digest=sha256:7d226da1d898464c6647479cb1fc81a3d4a9130554076ce43b2513cc5d5afef6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.457801Z digest=sha256:1ab5ccfc66305fc0fbe0a5d095debc26ff07d8cc6a19829119a7c4d74953dd63

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.556702Z digest=sha256:a1384b253cd318127a7ae551c6ef07cbcc0472e23fa051a5a712569b8e19441e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.680669Z digest=sha256:095bb94b31aeb529449a05391328bfc21563a54c8fca14b422d10e37efceb8e8

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.772611Z digest=sha256:d17e711ca9c222adf1f0148c13e490188884ba4b947d1ded61351abb9a296b29

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T22:32:35.790822Z digest=sha256:dd0574162c6309c7449a2ce437fdc7a21163c58b685e39e80809827e5e0d8dd6

Pith citing papers

No inbound Pith citation observations are available.