Pith. sign in

Paper Citation Record · LEDGER

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models

As of 16 August 2026, this Paper Citation Record lists 83 of 83 outbound references and 2 inbound Pith citation observations for arXiv:1908.07502.

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

pith.paper-citation-record.v1
1908.07502 v2

Coverage vector

measured 83 of 83 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:34:15.778461Z

measured 85 of 85 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:12:04.988167Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:49:56.049728Z

Reference resolution

83 of 83 outbound references displayed

  • verified exact5
  • verified fuzzy51
  • unresolved27
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.372759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.372759Z digest=sha256:ce7d1d80800a2a6c2daccd70a3e803a5fa3a4c69c12137efe09d1745638db1b3

Reference 2

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unresolved
no resolver link, observed 2026-08-14T12:34:15.379244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.379244Z digest=sha256:386938550a87d8acd6d908c0efad95d6ac66229751337ea5f652f5da7f923ede

Reference 3

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unresolved
no resolver link, observed 2026-08-14T12:34:15.384247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.384247Z digest=sha256:98e8d8742012ca01c083d3cab7bb15489b2026e8a4d39b14117b91a05e483c96

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-14T12:34:17.065727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.389041Z digest=sha256:1f04802ace0e4b9cb04d741b44d0b12dd84461127fa0ea2615dac6c56e7cf9c2

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:17.051571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.394033Z digest=sha256:f40d9d45f3f828f527136b7d321324fc0970825a88dc8d7abad398b58ac84877

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-14T12:34:17.037026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.398975Z digest=sha256:d87366265835c3bb11891abaa44285c678e3d5d615f40200dd43cdebec6b9b15

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:17.022095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.403677Z digest=sha256:fd72936391b9971c9737c8f9450445b179f11416db577a8e7a936bfbbc11c410

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:17.006938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.408581Z digest=sha256:3cb35aa3c8bf6b785445107d3473d6c2e53546953cb80469ef6f9f9b17436edc

Observation baf9bb58-9dcb-471c-b05e-67f8bc8ced72 · outbound

This paper cites Six loop analytical calculation of the field anomalous dimension and the critical exponent $\eta$ in $O(n)$-symmetric $\varphi^4$ model.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Six loop analytical calculation of the field anomalous dimension and the critical exponent $\eta$ in $O(n)$-symmetric $\varphi^4$ model

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.412880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.412880Z digest=sha256:a51bd422d2ecbfdd4e567ce965e211dbcad6362ad46316bf217c354b6c07d873

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.417624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.417624Z digest=sha256:cd74abdba8f590fdb4e25e3e9dfa524408335f9096ee025b128088a741be7c46

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.422900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.422900Z digest=sha256:4c026e9c2ed00fc9787aabccd5a4985a053bc38c24434f1bb7ae46dd754a68e4

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.991998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.427629Z digest=sha256:0df8df71faf9c1ddcb3d19e919f21763ea9646b91a4eeb014168a527a3ede2d3

Observation 93f6a74b-ea49-44f1-afd1-e3f0b181aff4 · outbound

This paper cites Zinn-Justin, Quantum Field Theory and Critical Phenomena, Oxford University Press, Oxford, 1989.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Zinn-Justin, Quantum Field Theory and Critical Phenomena, Oxford University Press, Oxford, 1989

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.976150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.431980Z digest=sha256:29922783bc4bad757726c4e2c7530738a6bab4921a25aa4331270abfdf70c0c0

Observation 18df1ee0-bdaa-4fe1-9203-8b102af016ff · outbound

This paper cites Vasil’ev, The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics , Chapman & Hall/CRC, New York, 2004.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Vasil’ev, The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics , Chapman & Hall/CRC, New York, 2004

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.959496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.436115Z digest=sha256:66ab1e108e86e1fead2d4a16641d8ab00fdf0eee85cf9942045fa238d051ccb3

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.941339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.440223Z digest=sha256:fb4c9f0ba260bc664e3ee77eb591f6e393c39b190233efeba9f06725319ee53b

Observation b09d65ce-17db-4d98-aa4a-e57b090981ab · outbound

This paper cites an unresolved cited work.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:34:16.924213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.444797Z digest=sha256:d99544bc5222a6ab731997c0175946c22ad72fae35efe79795034d3c586fb125

Observation f4fb92d0-5024-4c5f-98d6-b349ca616240 · outbound

This paper cites an unresolved cited work.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:34:16.909603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.449439Z digest=sha256:0e55ee67fe745aae92d9cce415e4139453a105b71b2377e3b4445247e7c7e50b

Observation feafb657-b7d8-4e68-9cf3-47cb447d0334 · outbound

This paper cites an unresolved cited work.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:34:16.896416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.454305Z digest=sha256:7e87733672ec4d855d2408870ed4c27cd09a77c625c10e3224fd48f50f04810d

Observation 931db104-aca5-4539-977f-238303e86400 · outbound

This paper cites Five-loop renormalization group functions of ${O}(n)$-symmetric $\phi^4$-theory and $\ep$-expansions of critical exponents up to $\ep^5$.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Five-loop renormalization group functions of ${O}(n)$-symmetric $\phi^4$-theory and $\ep$-expansions of critical exponents up to $\ep^5$

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.459519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.459519Z digest=sha256:5f142ef5fd773749e804e80468acee2074d693f33daac9bcf751583b3e41cbcb

Observation 3eff728a-8b1c-4f01-b31f-4b22441fd3dc · outbound

This paper cites Schnetz, Numbers and functions in quantum field theory , Phys.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Schnetz, Numbers and functions in quantum field theory , Phys

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.882879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.464351Z digest=sha256:b06eef4003f6119c828b6c747439bc3b7ae1f1603d57d6f23321901530dbb0bd

Observation 8ad8773b-a68f-42e6-a899-9243c006a125 · outbound

This paper cites Parisi, Statistical Field Theory , Frontiers in Physics, Addison-Wesley, 1988.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Parisi, Statistical Field Theory , Frontiers in Physics, Addison-Wesley, 1988

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.868918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.468834Z digest=sha256:1346d1c9efb95051ababadb0b03a16215a7961363750ffb490746f28040f9ef0

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.854884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.473397Z digest=sha256:2f6cdd50935523e8d7e77c982b34543fde80e1cf9b64427d057339d65be26520

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.477827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.477827Z digest=sha256:7ea0ca323eb327e5a45cc6900693d5e9d52c707c9cc324199c057dfb50400fe4

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:34:16.129563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.482761Z digest=sha256:c2b43a7fa83648f31ab2c7a42132ba2c2cc3989c9090f09a0a5c661aa1732991

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.839550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.488000Z digest=sha256:161798df55cc563df691bcecbe83033b8bc86804a826dacece8c54f970d130cf

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.492429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.492429Z digest=sha256:d2010ff6cc5ee9ffec4960bd9481e588de9289f737c8f2484edf00525bfb19c2

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.497961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.497961Z digest=sha256:fec825a60ad2a8acf48cb4122f22ab7c7c76a633e3914f197bf504e6e54b960a

Observation b3c0d0cd-5d1d-4cb4-be1f-4cff2aff92ca · outbound

This paper cites Deng, Bulk and surface phase transitions in the three- dimensionalO(4) spin model, Phys.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Deng, Bulk and surface phase transitions in the three- dimensionalO(4) spin model, Phys

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.823979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.503836Z digest=sha256:01afd8086848631fc7ee84d1ead0ce6b8c6fd7e77535ceabf189f14b1ede4211

Observation 9b32e54b-1086-45c2-95c5-2dc3732189d8 · outbound

This paper cites Nienhuis, Coulomb Gas Formulation of Two-dimensional Phase Transitions, V olume11 of Phase Transitions and Critical Phenomena, Academic Press, London, 1987.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Nienhuis, Coulomb Gas Formulation of Two-dimensional Phase Transitions, V olume11 of Phase Transitions and Critical Phenomena, Academic Press, London, 1987

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.809335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.509022Z digest=sha256:aa852b5b2a52710357f80bb46c7f67f0b577a32a2a8fb22eede0ce3d929e78a8

Observation 8bbd798c-b8c3-4d80-afdb-218ce69bc179 · outbound

This paper cites Henkel, Conformal Invariance and Critical Phenomena , Springer, Berlin, Heidelberg, 1999.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Henkel, Conformal Invariance and Critical Phenomena , Springer, Berlin, Heidelberg, 1999

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.794940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.513612Z digest=sha256:45e061bef20e2b2cdae250e40a59c9c75974f434db6f981bd9c9a3ad3d26d998

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.780622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.518992Z digest=sha256:ecd83b1fc170659e34a8e17622eed23a0cf0893c1191d50860770d25c80cf998

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.767160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.524039Z digest=sha256:d1537756c2734022ab597ffb8eed7e24f32ad112d68aafd00344e47ca3bc2d36

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.753002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.529309Z digest=sha256:0b2092e44d7bf63df24b3ffe1e800b7708e77c29889f06e7e0d9d920a431c2f2

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.534577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.534577Z digest=sha256:b458f7014f18d38ebbf759a94e99a330977dc84b1f1891a98b48b4a274a8cbc3

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.540464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.540464Z digest=sha256:cf2829f66aefea116fb12d8fa983491ade3fce93cad01e74162ebb9d87a6c11a

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.550490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.550490Z digest=sha256:f1c566cc601d385accf2973d8b25febc06649228ac04d316c1e9594210d408bf

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.738426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.556013Z digest=sha256:dd625d9401dd8128ec1b0fb1283c06ca877e161e798af3c42f44d9e3028528b6

Observation efcc21f9-695a-4e48-b4e2-094a5133b0cd · outbound

This paper cites Zinn-Justin, Precise determination of critical exponents and equation of state by field theory methods, Phys.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Zinn-Justin, Precise determination of critical exponents and equation of state by field theory methods, Phys

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.724002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.560469Z digest=sha256:b35edcb159a786ffc06751e4b9cd85841a0a91e8922de153cc48fa3aa86c25f3

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.710369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.566109Z digest=sha256:cddeed602a25e9e68bf57bb31ee96fb1af4087e1c40853ad65e9674ce31ca230

Observation c26fa7c1-8b06-41e3-8d58-39c9554516d3 · outbound

This paper cites Lawler, A self-avoiding random walk , Duke Math.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Lawler, A self-avoiding random walk , Duke Math

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.695964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.570434Z digest=sha256:0feb35a7cf2d448484b1272439f4aaaf075120f764e1b54f3d67cfc0e56eb106

Observation 4280bf91-b556-4af7-bf76-01439ecf57ea · outbound

This paper cites Falconer, The Geometry of Fractal Sets, Cambridge Uni- versity Press, Cambridge, U.K., 1986.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Falconer, The Geometry of Fractal Sets, Cambridge Uni- versity Press, Cambridge, U.K., 1986

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.681165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.574739Z digest=sha256:392e5de16bc42c407e21068f4e6fd136292ab630e6999e3acdb3dde796f437a1

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.579196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.579196Z digest=sha256:0e0ee1f393c1a220464e279f8be68c136dfcdd1ff335e5756b095eec4dea1b49

Observation 7d2eb515-a153-4e74-b568-65fcb55d8c14 · outbound

This paper cites De Gennes, Exponents for the excluded volume problem as derived by the Wilson method, Phys.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models De Gennes, Exponents for the excluded volume problem as derived by the Wilson method, Phys

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.664988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.584496Z digest=sha256:4c449a11ea089b4b36a92edad3fc9a80312ffe608e2ddfdc1bb69f40a8ed03de

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.589131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.589131Z digest=sha256:2886ca5a63e0d83c41f23ec3f800a9b845d4810d948cac1c95059fcc1335b9e1

Observation 2d50fd31-2729-48f4-84a3-6a1582d3703c · outbound

This paper cites Depinning transition of charge-density waves: mapping onto $O(n)$ symmetric $\phi^4$ theory with $n\to -2$ and loop-erased random walks.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Depinning transition of charge-density waves: mapping onto $O(n)$ symmetric $\phi^4$ theory with $n\to -2$ and loop-erased random walks

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.594289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.594289Z digest=sha256:c18c010457341fff5240bb7a406991f2a603a724ff0858963163a21a75269516

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.598950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.598950Z digest=sha256:99ae71704cef6398003fc24fcd27345eb37b700ce51f356a38d5853250aca94b

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:34:15.958741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.603729Z digest=sha256:19cae9977855c72497d3e4ae3753b9fa634b2cd229c47377e28161e4dfd8dd7e

Observation 8921a188-caa5-4a93-9ad3-99869fe1e085 · outbound

This paper cites Hausdorff di- mension of critical fluctuations in Abelian gauge theories.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Hausdorff di- mension of critical fluctuations in Abelian gauge theories

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.648986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.609049Z digest=sha256:6fc19c256cc6659d716e471fe434513f8609b3cc0c400d4d9b57c2c55f3985f0

Observation 80f77ca3-7fbc-400c-90a9-3e152c4980ed · outbound

This paper cites Kirkham, Calculation of crossover exponent from Heisen- berg to Ising behaviour using the fourth-order ϵ expansion, J.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Kirkham, Calculation of crossover exponent from Heisen- berg to Ising behaviour using the fourth-order ϵ expansion, J

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.633743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.613535Z digest=sha256:a1fa758122faa197345670a1caf794e1eb9bf396ff6e339124bb3140e5860d1c

Observation dff9123b-9f82-4f32-a3ab-ee67aa4cf8fd · outbound

This paper cites an unresolved cited work.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:34:16.619894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.619100Z digest=sha256:e2e46fdf1c468cda828e490b2a702ce2f2bb198f74243a6c46bfefc74c88bd09

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.624219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.624219Z digest=sha256:6720291520a99dc24efc909df0a77d6e88e348fff6d9bc6f767a7a6e4adca509

Observation fa38ad12-eaaa-40df-ab8b-8222e42b1964 · outbound

This paper cites Kleinert, Variational resummation forϵ-expansions of crit- ical exponents of nonlinear O(n)-symmetricσ-model in 2 +ϵ dimensions, Phys.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Kleinert, Variational resummation forϵ-expansions of crit- ical exponents of nonlinear O(n)-symmetricσ-model in 2 +ϵ dimensions, Phys

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.604514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.629292Z digest=sha256:0652107bb6b8d308e5aa38a938b44f15be0b9eb6f3c0708ebacb7fb0156f3232

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.589690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.633705Z digest=sha256:579ccca120540cbbb6216d0095f1afcf7fd40f946967e3dc8df8813e49a4e24d

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.573690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.639102Z digest=sha256:f9c53aa1e306548463e793c7781ab6a2baad03b91cea00c68d0df3ad523a4d7b

Observation 677f0792-a706-4806-8a7e-9a2aabe988a6 · outbound

This paper cites Domann, Optical measurements on TbPO4 near the bicrit- ical point, J.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Domann, Optical measurements on TbPO4 near the bicrit- ical point, J

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.558315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.643461Z digest=sha256:e282a9328c983bad618e1ac92dd4c016c1390242853f357315d45fc8fdc577a6

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.541613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.649485Z digest=sha256:7e662d77e04a882f31104db03f0219076db7f17c4eb48c7dc0f5bfefed19b276

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.526306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.656022Z digest=sha256:d08822c29ada0c7083883da6cf41ddbc283a7475bc28d7deb4c7e769cf8bcfbc

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.511322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.660726Z digest=sha256:1f5325760a59cae71dec58f0bdd283a002eb149783ef0b7ac0a5aa353218f4b9

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.496742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.665544Z digest=sha256:e6be4a77074c0262fae79d40d7e9926109f6700cb7704e2081aea30602306cff

Observation 343820bd-81c7-49c3-a63e-11be513683e9 · outbound

This paper cites an unresolved cited work.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:34:16.482071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.670190Z digest=sha256:a3b3a35f46402e6db1e74703dcd064dffb19b9cfca6ef88a9b2dc93032a8134d

Observation 46df2136-735a-4b5a-b24a-2dc79fd2a1dc · outbound

This paper cites Zhang, A unified theory based on SO(5) symmetry of su- perconductivity and antiferromagnetism , Science 275 (1997) 1089–1096.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Zhang, A unified theory based on SO(5) symmetry of su- perconductivity and antiferromagnetism , Science 275 (1997) 1089–1096

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.467517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.674952Z digest=sha256:0f2c8133ac6cf2dae0eea1c4520e0d638ac847bb54c1efd2f97c539b507779d6

Observation 55a75d00-a8cf-4aab-ba56-ac5daf0b4437 · outbound

This paper cites Hu, Bicritical and tetracritical phenomena and scaling properties of the SO(5) theory , Phys.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Hu, Bicritical and tetracritical phenomena and scaling properties of the SO(5) theory , Phys

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.453185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.679690Z digest=sha256:29de3b74a65db62ef3e61629083e058965e35cafce1d74a5a2bf2671a0cdc407

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.438963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.684145Z digest=sha256:ded2150a1a8add672ca453b757fe55492bc2e880205f05cbd37cde443e3b9a51

Observation 66fbb0aa-69a8-4e30-a8ff-0bfd96af5746 · outbound

This paper cites Bicritical and tetracritical phenom- ena and scaling properties of the SO(5) theory.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Bicritical and tetracritical phenom- ena and scaling properties of the SO(5) theory

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.425250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.688880Z digest=sha256:e47b8736e7408b95e7e3e7c6d755791c10d8cd93aa083a20c95be72b1c9b7f71

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.411399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.693506Z digest=sha256:923b1663b02d21e70c7abe12a2fb1b0d7e6f7798e607406f7e24eff729c01038

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.396262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.698608Z digest=sha256:736cf6d02af61182c9260ca49111406320329ec6a75e26bbe46cffd62702be6a

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.382458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.703539Z digest=sha256:f05df81c5133251e2cb8d74e7de9bf7b29dfb649bdeedcbe30bf78572682ea4b

Reference 68

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:34:15.920160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.707958Z digest=sha256:3e647de7399aa9580f5888f3a70abeb0ec2966111e2a750fb0597451c5c57abe

Observation 8e51109d-0722-47da-85e7-c6dc9d2d381d · outbound

This paper cites Nienhuis, Exact critical point and critical exponents ofO(n) models in two dimensions , Phys.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Nienhuis, Exact critical point and critical exponents ofO(n) models in two dimensions , Phys

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.368124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.712735Z digest=sha256:77b84b75658face6532a2e8382352ccf3f7feee5ab5ce97b7c5e0e1fe2b5bdf1

Observation 80c1f464-0a3f-49bc-9dee-a209fec9a285 · outbound

This paper cites Duplantier, Loop-erased self-avoiding walks in two dimen- sions: exact critical exponents and winding numbers , Physica A 191 (1992) 516–522.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Duplantier, Loop-erased self-avoiding walks in two dimen- sions: exact critical exponents and winding numbers , Physica A 191 (1992) 516–522

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.353350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.717033Z digest=sha256:8969a0ffe0e89c7131490cd1edd7cfa6b72acb0baff0840775d740de1ce984c6

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.337681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.721540Z digest=sha256:439c43408c1ef8cfacf63323e29d00c65e6fe270715597d1db65bad71396bf5e

Observation 3928f556-235f-43de-b1cb-1d4924dd97f9 · outbound

This paper cites Lawler, The Laplacian-b random walk and the Schramm- Loewner evolution, Illinois J.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Lawler, The Laplacian-b random walk and the Schramm- Loewner evolution, Illinois J

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.322169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.726136Z digest=sha256:2c49290b0470a8f2899f32445f81e2b50286d2491e72c17e5468888a1238143a

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.730569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.730569Z digest=sha256:5cfd0d09ca684aed647dd1dc6ea3316184410a2d2b1bda30add2f08ea9aa8f1b

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.305409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.735972Z digest=sha256:fa9c8f18f26c62c6561147bed3d850f0cd329763163e7a1df75fc3365f017177

Observation 201ee129-91d3-47cf-95af-68e1b807c181 · outbound

This paper cites an unresolved cited work.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:34:16.288815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.740729Z digest=sha256:123e4aed375d64705e16a41d52976d00eb8a60cfc461ab875fa0c57bf727fbc6

Reference 76

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:34:15.883380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.745798Z digest=sha256:57f76ace08d3887c4f31313398baf6cc059b716287da19f0379704adc5760d16

Reference 77

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:34:15.862187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.750819Z digest=sha256:8e67bf40ac9ab4bb9320eba9e43730a699e759401ba4db9e43702ef2ae942bae

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.273714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.756155Z digest=sha256:6fdad97a2783b3587e7571a781793ebf208c5fd95fcf2acfa79c38207705670a

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.258517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.760367Z digest=sha256:111f6f4f158db672ad0761b209acc93474d44c8ceea5cf100640b85c51382df6

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.242801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.764652Z digest=sha256:251e6f3a67492b2a6e53d2d437035d4da96bb40014ba70b02b3489f9d4798eef

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-14T12:34:15.769013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:34:15.769013Z digest=sha256:3f6fa34f4f0ae013e8210c4126371507e20f617c302fbe6ea5aa85d6bab5a710

Observation b82c61b5-5bc4-4aaa-abf9-f8914a104df7 · outbound

This paper cites Belohorec, Renormalization group calculation of the uni- versal critical exponents of a polymer molecule , PhD thesis, University of Guelph, Ontario, Canada, 1997.

Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models Belohorec, Renormalization group calculation of the uni- versal critical exponents of a polymer molecule , PhD thesis, University of Guelph, Ontario, Canada, 1997

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:16.227199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:15.773886Z digest=sha256:917ac5cbf53c2e045cf08bdb613697a8bd576e113c42dd5929a1db288a306078

Reference 83

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unresolved
no resolver link, observed 2026-08-14T12:34:15.778461Z

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source=pdf_text observed=2026-08-14T12:34:15.778461Z digest=sha256:209326f1bc19beb377f669220ab94e474f20b6f0ec93d6ab390d3a879d62e8ed

Pith citing papers

Observation 8b9a3313-5c48-46a7-88a2-5b1e650fea0c · inbound

Depinning transition of charge-density waves: mapping onto $O(n)$ symmetric $\phi^4$ theory with $n\to -2$ and loop-erased random walks cites this paper.

Depinning transition of charge-density waves: mapping onto $O(n)$ symmetric $\phi^4$ theory with $n\to -2$ and loop-erased random walks Fractal dimension of critical curves in the $O(n)$-symmetric $\phi^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models

Reference 63

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no resolver link, observed 2026-08-14T10:12:04.988167Z

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source=pdf_text observed=2026-08-14T10:12:04.988167Z digest=sha256:75bc2e1431b218f159fbf5c04a85aceac7b9dcafc30ba9bc0a86cc39115e1e8d

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-04T14:49:56.051449Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-26T02:16:41.442380Z digest=sha256:6ce2ace3867d19768de12144e2c4ba471ec41d8a8adb26ee856e46cc02f9b563