Paper Citation Record · LEDGER

Essential Dimension, Symbol Length and $p$-rank

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.08844.

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

pith.paper-citation-record.v1
1908.08844 v3

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:42:29.025872Z

measured 23 of 23 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

23 of 23 outbound references displayed

verified exact0
verified fuzzy19
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13536482-57fc-425e-89ef-4575af5209b2 · outbound

This paper cites The de R ham W itt complex, cohomological kernels and p^m -extensions in characteristic p.

Essential Dimension, Symbol Length and $p$-rank The de R ham W itt complex, cohomological kernels and p^m -extensions in characteristic p

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.454069Z

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.

Observation a7e83e90-cedc-48e5-9e66-224272421125 · outbound

This paper cites an unresolved cited work.

Essential Dimension, Symbol Length and $p$-rank Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:29.436163Z

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.

Observation bff4798d-5740-4c19-a9b4-135334bbc53f · outbound

This paper cites Essential dimension of simple algebras in positive characteristic.

Essential Dimension, Symbol Length and $p$-rank Essential dimension of simple algebras in positive characteristic

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.419454Z

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.

Observation 5134bdb3-d718-47e1-bd5d-f2686294f318 · outbound

This paper cites Invariants of simple algebras.

Essential Dimension, Symbol Length and $p$-rank Invariants of simple algebras

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.398590Z

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.

Observation 8db76385-1a2a-432c-b674-e0b29864a83c · outbound

This paper cites Merkurjev.

Essential Dimension, Symbol Length and $p$-rank Merkurjev

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.376740Z

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.

Observation 69232b34-f3ef-4d77-bf52-72502d612299 · outbound

This paper cites Bourbaki.

Essential Dimension, Symbol Length and $p$-rank Bourbaki

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.359419Z

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.

Observation 616365fa-1327-4f97-8d1d-9d42e12a42a4 · outbound

This paper cites Kato- M ilne cohomology and polynomial forms.

Essential Dimension, Symbol Length and $p$-rank Kato- M ilne cohomology and polynomial forms

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.341936Z

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.

Observation 1aa71cff-6c85-4737-b4fb-4e70223532d8 · outbound

This paper cites The u^n -invariant and the symbol length of H_2^n(F).

Essential Dimension, Symbol Length and $p$-rank The u^n -invariant and the symbol length of H_2^n(F)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.320622Z

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.

Observation 00b0e6ce-b842-4dce-8fbc-ab6aefd533ba · outbound

This paper cites On the symbol length of p -algebras.

Essential Dimension, Symbol Length and $p$-rank On the symbol length of p -algebras

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.301566Z

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.

Observation 54a0bf88-7931-4198-ba4b-040a579dda47 · outbound

This paper cites Central simple algebras and G alois cohomology , volume 165 of Cambridge Studies in Advanced Mathematics.

Essential Dimension, Symbol Length and $p$-rank Central simple algebras and G alois cohomology , volume 165 of Cambridge Studies in Advanced Mathematics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T11:42:28.957545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49c7fed6-0118-49b6-bd40-8d6a60d8eea0 · outbound

This paper cites an unresolved cited work.

Essential Dimension, Symbol Length and $p$-rank Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:29.273501Z

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.

Observation c53012f4-f314-43ed-bb1b-8b80c258af9b · outbound

This paper cites p -primary part of the M ilnor K -groups and G alois cohomologies of fields of characteristic p.

Essential Dimension, Symbol Length and $p$-rank p -primary part of the M ilnor K -groups and G alois cohomologies of fields of characteristic p

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.257784Z

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.

Observation fc27b1ae-5502-4f2e-8d4f-e2279d92d9a2 · outbound

This paper cites Basic algebra.

Essential Dimension, Symbol Length and $p$-rank Basic algebra

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.239760Z

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.

Observation 7cac4e52-7af0-4a5d-9c24-c2890dd9509d · outbound

This paper cites Karpenko.

Essential Dimension, Symbol Length and $p$-rank Karpenko

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.221907Z

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.

Observation 822ad0a6-1b00-4c8f-b554-ee889a8c3df8 · outbound

This paper cites Karpenko.

Essential Dimension, Symbol Length and $p$-rank Karpenko

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.205432Z

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.

Observation c4c840f0-1d11-480c-a392-17909e324e48 · outbound

This paper cites On the essential dimension of p -groups.

Essential Dimension, Symbol Length and $p$-rank On the essential dimension of p -groups

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.189672Z

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.

Observation 0f57c7f2-ef93-48a5-b4be-8036b526218a · outbound

This paper cites Symbol length in the B rauer group of a field.

Essential Dimension, Symbol Length and $p$-rank Symbol length in the B rauer group of a field

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.173737Z

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.

Observation 1e43b51a-ec0b-4204-aa12-ede0bc946c83 · outbound

This paper cites Indecomposable p -algebras and G alois subfields in generic abelian crossed products.

Essential Dimension, Symbol Length and $p$-rank Indecomposable p -algebras and G alois subfields in generic abelian crossed products

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.155114Z

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.

Observation a9a1733a-6a06-4853-a787-693033327b3d · outbound

This paper cites Essential dimension of generic symbols in characteristic p.

Essential Dimension, Symbol Length and $p$-rank Essential dimension of generic symbols in characteristic p

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.135063Z

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.

Observation 9dfcc8a6-1b38-498d-b27f-0416fde00b9a · outbound

This paper cites Merkurjev.

Essential Dimension, Symbol Length and $p$-rank Merkurjev

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.117975Z

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.

Observation 40a8d618-3377-4f47-b92e-059b84f207dd · outbound

This paper cites Mammone and A.

Essential Dimension, Symbol Length and $p$-rank Mammone and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.101236Z

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.

Observation f1248e05-d050-4f8f-bbb1-9e0517dd72eb · outbound

This paper cites Mammone, J.-P.

Essential Dimension, Symbol Length and $p$-rank Mammone, J.-P

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:29.084273Z

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.

Observation 0af38fc6-0af6-4eb8-9c43-df614751e8fb · outbound

This paper cites an unresolved cited work.

Essential Dimension, Symbol Length and $p$-rank Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:29.066125Z

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.

Pith citing papers

No inbound Pith citation observations are available.