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Paper Citation Record · LEDGER

Some Orbits of Free Words that are Determined by Measures on Finite Groups

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.03801.

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

pith.paper-citation-record.v1
1908.03801 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:14:44.408242Z

measured 22 of 22 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 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 exact3
  • verified fuzzy16
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c677a811-9c22-4be6-936f-ae0d64d1cf91 · outbound

This paper cites Characters and solutions to equations in finite groups.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Characters and solutions to equations in finite groups

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.930422Z

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=arxiv_source observed=2026-08-14T14:14:44.295791Z digest=sha256:a06575521f17dfbc639b1a1c3ceb7c2a83fbcd8d8cefb2f7f8e626426b85bfba

Observation f844a0f5-ec45-465c-8738-962480b8ba5c · outbound

This paper cites Automorphism-invariant positive definite functions on free groups.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Automorphism-invariant positive definite functions on free groups

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:14:44.523226Z

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=arxiv_source observed=2026-08-14T14:14:44.301853Z digest=sha256:e4fd7dcc353fbd2eeed7a2d01a68312ab23c17c25f74e40d005d3ffdf3af149e

Observation eaba4c16-f6b6-4d5d-b13b-8f3f129150ab · outbound

This paper cites Word measures on symmetric groups.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Word measures on symmetric groups

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.913524Z

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=arxiv_source observed=2026-08-14T14:14:44.308045Z digest=sha256:51e817b98688444ad5cad63c3077eaf02b5c0171e245e712ab23258aac3cf4f9

Observation 77f3d354-4731-4b27-9ad9-d416765d9ab1 · outbound

This paper cites Torsion elements and centralizers in free products of profinite groups.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Torsion elements and centralizers in free products of profinite groups

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.895594Z

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=arxiv_source observed=2026-08-14T14:14:44.314027Z digest=sha256:5c9bab93b84163298c4d5321976c7926f19a616d58b017cca912eb449c5c8e3d

Observation 241f69c1-bebd-4b42-9018-8da1c1857f50 · outbound

This paper cites Finite approximation and commutators in free groups.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Finite approximation and commutators in free groups

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.879041Z

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=arxiv_source observed=2026-08-14T14:14:44.320310Z digest=sha256:b28de21350db3823bbfd729891d4be86066ff6d53f5a93e632ab151383903a10

Observation 2e63e05d-5da7-4e5d-bc6a-0ca3f3d23e3c · outbound

This paper cites Word maps and spectra of random graph lifts.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Word maps and spectra of random graph lifts

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.860867Z

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=arxiv_source observed=2026-08-14T14:14:44.325661Z digest=sha256:b960a421895c8ebe159cebb4215a36baeec2a081b16905a802b5a9f47be80eb2

Observation 506e1a10-b431-4b8c-8c1e-d2eb9d46fecb · outbound

This paper cites an unresolved cited work.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:14:44.844103Z

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=arxiv_source observed=2026-08-14T14:14:44.331871Z digest=sha256:139e2210ab3607eb7c2fd05f23374b70fbdcc51bbc71bc535aad4b00db06b1f7

Observation 6bac8700-5da4-4823-a08a-741faf80ffb8 · outbound

This paper cites Word Measures on Unitary Groups.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Word Measures on Unitary Groups

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T14:14:44.336843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:14:44.336843Z digest=sha256:c09992bb2001c7cd2c996f6ffb2896cce375ee61b36c35ea8290965f7bc3fd71

Observation dff594a4-02b8-484a-ba0c-22119f9a3c26 · outbound

This paper cites Matrix group integrals, surfaces, and mapping class groups I : U (n).

Some Orbits of Free Words that are Determined by Measures on Finite Groups Matrix group integrals, surfaces, and mapping class groups I : U (n)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.717555Z

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=arxiv_source observed=2026-08-14T14:14:44.342213Z digest=sha256:a3f7c17da2fc4576c1ad816dd3e65c5893b68361f925797c1a9cbcaa0cd38f58

Observation 03d4cd11-d862-4b6f-9b4f-a5d6bdc5c6e9 · outbound

This paper cites Matrix Group Integrals, Surfaces, and Mapping Class Groups II: $\mathrm{O}\left(n\right)$ and $\mathrm{Sp}\left(n\right)$.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Matrix Group Integrals, Surfaces, and Mapping Class Groups II: $\mathrm{O}\left(n\right)$ and $\mathrm{Sp}\left(n\right)$

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:14:44.480728Z

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=arxiv_source observed=2026-08-14T14:14:44.347111Z digest=sha256:f345f0d8c64e5b82bd08ca5363922e99925a852b7c6acba27d4699a225109c7a

Observation d030e94e-58cd-42fd-990c-bfb43ffc0c71 · outbound

This paper cites Surface Words are Determined by Word Measures on Groups.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Surface Words are Determined by Word Measures on Groups

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:14:44.455480Z

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=arxiv_source observed=2026-08-14T14:14:44.352289Z digest=sha256:f99dea7046baf8d02ba55b5a02cb47ae7ea5f92ae471d3c73ede6ca2a3bc669d

Observation a684399e-d6ee-4268-903f-9cec735194b3 · outbound

This paper cites an unresolved cited work.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:14:44.702977Z

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=arxiv_source observed=2026-08-14T14:14:44.357315Z digest=sha256:96573bbffe4c49fb28965c4a059df6a53ae1b0f8bbb4cd81e308c23a735d7367

Observation 3f8408a9-2205-4eb9-98ac-d5c7a07c8de3 · outbound

This paper cites Algebraic extensions in free groups.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Algebraic extensions in free groups

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.687781Z

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=arxiv_source observed=2026-08-14T14:14:44.361788Z digest=sha256:b7cf97e27ec4ad56442e61b36df1a45f8956459c98d91dfd52f5026df63a767e

Observation 0f9b2a95-f6a2-4791-abed-a74bb9bd8acd · outbound

This paper cites On the number of cycles of given length of a free word in several random permutations.

Some Orbits of Free Words that are Determined by Measures on Finite Groups On the number of cycles of given length of a free word in several random permutations

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.670422Z

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=arxiv_source observed=2026-08-14T14:14:44.366298Z digest=sha256:0e7260ed01fc863e2fed184085a6087f7e87d5f752aaa962a9bb811fb53e8567

Observation db9392dd-6f91-4fa5-af68-80a776f60181 · outbound

This paper cites Measure preserving words are primitive.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Measure preserving words are primitive

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.654798Z

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=arxiv_source observed=2026-08-14T14:14:44.372158Z digest=sha256:afad5b60cd872356ded6a195e3cc50540fee74f84acd3a33425ad8cd237f12a2

Observation b04280d1-df00-4d69-b2e5-d6408b9d8083 · outbound

This paper cites Primitive words, free factors and measure preservation.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Primitive words, free factors and measure preservation

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.639213Z

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=arxiv_source observed=2026-08-14T14:14:44.377029Z digest=sha256:9950e981302d14216d1115c1b2a9f3eeac0b168c0d28bc785021bbbdcaa1da4c

Observation 4d144544-7096-4e38-90b3-1f64c2912df2 · outbound

This paper cites Asymptotics of word measures on GL _n( F _q).

Some Orbits of Free Words that are Determined by Measures on Finite Groups Asymptotics of word measures on GL _n( F _q)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.622817Z

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=arxiv_source observed=2026-08-14T14:14:44.382075Z digest=sha256:6f0654b8eaa4eaf68c20f30a11188bf86780cf7cba837f15bb3d6fd3e2a1e0a4

Observation 6644b7d0-f343-44c5-81da-7c27feecb1c4 · outbound

This paper cites Profinite groups , volume 40 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Profinite groups , volume 40 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.605772Z

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=arxiv_source observed=2026-08-14T14:14:44.386719Z digest=sha256:1a14f6ceeaaa3afc848ae88c359b83f05cad01b622afe7986a720f422ce3d044

Observation c2bee0a2-2338-47bc-a20e-55da93126fef · outbound

This paper cites Some results and problems in the theory of word maps.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Some results and problems in the theory of word maps

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.588801Z

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=arxiv_source observed=2026-08-14T14:14:44.391733Z digest=sha256:d4ab183c23279b5f473cedf6f81ebb43af8a4585fe6a9aa6d7e6ff65566db045

Observation a0810e6f-b8a9-41b9-b8da-b242179a5e39 · outbound

This paper cites Thompson.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Thompson

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.573653Z

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=arxiv_source observed=2026-08-14T14:14:44.398062Z digest=sha256:4b6767c5b5f04e0f7dd68746dfa61c492ac1a14ce5bcd0e7aee59ea8043cdbbf

Observation 961df143-c7dd-4ff5-931b-feb932756910 · outbound

This paper cites Profinite groups , volume 19 of London Mathematical Society, Monographs, New Series.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Profinite groups , volume 19 of London Mathematical Society, Monographs, New Series

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.557051Z

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=arxiv_source observed=2026-08-14T14:14:44.403385Z digest=sha256:f47d7f66b313bb9905ac5f55100bbae5c86be2cece41111fcc44ff3d58ff389d

Observation 098f7c13-4da6-4a77-a5b9-c0120e119859 · outbound

This paper cites Essential surfaces in graph pairs.

Some Orbits of Free Words that are Determined by Measures on Finite Groups Essential surfaces in graph pairs

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:14:44.539994Z

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=arxiv_source observed=2026-08-14T14:14:44.408242Z digest=sha256:e25badd0d66afa0c9b0000d08f3a2f84289277084480491b5d03afa55fd2dda1

Pith citing papers

No inbound Pith citation observations are available.