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Paper Citation Record · LEDGER

Localizing motives of Azumaya algebras

As of 18 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2509.01507.

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

pith.paper-citation-record.v1
2509.01507 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:40:34.265675Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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 exact1
  • verified fuzzy19
  • unresolved1
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 52d3f060-46ff-4111-b175-0515679eec34 · outbound

This paper cites Brauer groups and \'e tale cohomology in derived algebraic geometry.

Localizing motives of Azumaya algebras Brauer groups and \'e tale cohomology in derived algebraic geometry

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.659324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.161905Z digest=sha256:6b703c59904d7b9d8911b714f5b4c2b45c72cd68c2750957d91389a750447d16

Observation e5692614-e387-4a45-aa70-e7c64e453704 · outbound

This paper cites A semiorthogonal decomposition for Brauer--S everi schemes.

Localizing motives of Azumaya algebras A semiorthogonal decomposition for Brauer--S everi schemes

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.641356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.167536Z digest=sha256:518e8a9a598df0a9f2e9c09589936eaa262c5d5628c17d942742b2e9f15365b1

Observation 5da7aba0-5592-4d7c-8072-14584d2501c8 · outbound

This paper cites A universal characterization of higher algebraic K -theory.

Localizing motives of Azumaya algebras A universal characterization of higher algebraic K -theory

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.624972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.172670Z digest=sha256:3b37b28c949e369086462d2b0fe25c6fdf1f223e3e5c528489978b6be4133549

Observation 576205fd-ed28-4088-a783-9da4fba62400 · outbound

This paper cites Modules over algebraic cobordism.

Localizing motives of Azumaya algebras Modules over algebraic cobordism

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.608622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.177758Z digest=sha256:774ca2d452d1f11b95331a8c2e4b1a83d5510bbf9af1c296ec8bc8574385db2a

Observation 762b5bc0-4d8d-46db-b85b-e7a718304b0f · outbound

This paper cites Le groupe de B rauer: I.

Localizing motives of Azumaya algebras Le groupe de B rauer: I

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.590826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.183385Z digest=sha256:8845f83f80a3faf5c09d0a9d73311cb5f71f7467dff8b6921397534b6d7a50b9

Observation c7b2a3e7-2ed4-4c88-b2ff-c555f4c48772 · outbound

This paper cites Higher traces, noncommutative motives, and the categorified C hern character.

Localizing motives of Azumaya algebras Higher traces, noncommutative motives, and the categorified C hern character

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.574598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.188687Z digest=sha256:29fbc78f48bc065ea1e3b1de3e0a51e2c99def75f175fcf3bb4fec1dd30e55ab

Observation 608ca297-eb34-4cec-83d5-5fbb6153838a · outbound

This paper cites Motives of A zumaya algebras.

Localizing motives of Azumaya algebras Motives of A zumaya algebras

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.557552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.194176Z digest=sha256:a21617353573b7781a434a69b5ec7bccd17d9b7043a67cea6123654bd73e8bc3

Observation 180b562b-52d6-41ef-bba9-083f9624eb49 · outbound

This paper cites det" AND.

Localizing motives of Azumaya algebras det" AND

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.539958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.199599Z digest=sha256:9318a0ef8d741e5584a9ed5c22600f86d9fd45c0cadec4836ba19c033403252e

Observation 451fecbc-15b3-4334-9a90-b3b1a0c2cc99 · outbound

This paper cites Higher topos theory.

Localizing motives of Azumaya algebras Higher topos theory

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.520145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.204480Z digest=sha256:fe48ec0441a3a042a12a88e8b5b282e3171a455fe21e570e549d4fe378f472b3

Observation ddbbac2c-5d57-4809-b6ed-5ba9e2bb3473 · outbound

This paper cites Higher algebra, 2012.

Localizing motives of Azumaya algebras Higher algebra, 2012

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.503527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.209342Z digest=sha256:08df1b9f5fb4081b2cd879cd73fac64b8e055c6251f93d58f7115739010d9da5

Observation cdd3c487-8282-476a-afca-0e8daa2440a4 · outbound

This paper cites Higher algebraic K-theory: I.

Localizing motives of Azumaya algebras Higher algebraic K-theory: I

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.487323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.214261Z digest=sha256:7c585b646616e5632d29576f6612fa899169407f4012f90d52d8389865415a7b

Observation 175bfa42-0fea-4180-804b-4809af73c661 · outbound

This paper cites K -theory of A zumaya algebras.

Localizing motives of Azumaya algebras K -theory of A zumaya algebras

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.470724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.219073Z digest=sha256:c295d44a6ff548cb7653136a1825447a5d83f6fc0c8eece50a151e99c5ef75d2

Observation 77a3a55e-2d54-4979-8569-3e9d8f5e2dda · outbound

This paper cites Every motive is the motive of a stable $\infty$-category.

Localizing motives of Azumaya algebras Every motive is the motive of a stable $\infty$-category

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T12:40:34.224332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:40:34.224332Z digest=sha256:3d848e3825304d932617aa354c071027507a0b14092b484bd963af76a0aa8625

Observation ec447ebe-c3a5-462f-91aa-8f3be19e19e5 · outbound

This paper cites Additive invariants of toric and twisted projective homogeneous varieties via noncommutative motives.

Localizing motives of Azumaya algebras Additive invariants of toric and twisted projective homogeneous varieties via noncommutative motives

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.453117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.229774Z digest=sha256:a342217deda350b012e924d8d75d31ba8e6385badca467ad2d4de3bacf650d8a

Observation 36ec9ab3-69ad-400b-bcf3-e2b077480b39 · outbound

This paper cites A note on secondary K -theory.

Localizing motives of Azumaya algebras A note on secondary K -theory

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.436160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.235584Z digest=sha256:9301bd6a5994cc1b47d8baf3a8ae7eda743bcfbee91f2153d571d1b41f424eae

Observation 38d00657-1f8d-46a3-a6f5-fd1eddd196cb · outbound

This paper cites A note on secondary K-theory II.

Localizing motives of Azumaya algebras A note on secondary K-theory II

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:40:34.311301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.240802Z digest=sha256:b63c8e66897f54ce43ac725e27057c6a8769499c5a5784ca2d18c47a43b06ed2

Observation 4ca72612-0200-40ed-8aa9-4a16bdf6ff5e · outbound

This paper cites The classification of triangulated subcategories.

Localizing motives of Azumaya algebras The classification of triangulated subcategories

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.418176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.245988Z digest=sha256:ea12a11a626f7aa02bee99dce1d2fc37cd9437bfa0d450a44763f3e45e3007b2

Observation 2d4483ea-03d8-4c3c-b491-c27419036275 · outbound

This paper cites Derived A zumaya algebras and generators for twisted derived categories.

Localizing motives of Azumaya algebras Derived A zumaya algebras and generators for twisted derived categories

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.400447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.250813Z digest=sha256:0e4446968f2a686366b66b6d359aea2596c5ac7d4d8db34da90c8b8e676b9794

Observation 5fdc6847-c4c2-437a-a814-46c1ba8c9ffb · outbound

This paper cites Noncommutative motives of A zumaya algebras.

Localizing motives of Azumaya algebras Noncommutative motives of A zumaya algebras

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.383700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.255824Z digest=sha256:58c2bf4028a630f656498f467ef4474c3c6e33df23d7fc9a141faa44bcf3dd0d

Observation 390146fd-b182-4b40-b2c5-5e197c50cb28 · outbound

This paper cites Noncommutative motives of separable algebras.

Localizing motives of Azumaya algebras Noncommutative motives of separable algebras

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.365924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.260645Z digest=sha256:afdb3ea6aafaa02300ef16ccee4123ddeb149056bf077ca02678921b2fcae73d

Observation 289313de-b236-40ea-aee2-01b45ffbac5c · outbound

This paper cites The K -book: An Introduction to Algebraic K -theory , volume 145.

Localizing motives of Azumaya algebras The K -book: An Introduction to Algebraic K -theory , volume 145

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:40:34.348142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:40:34.265675Z digest=sha256:91d249df4b2b16f14cd4fa2c7651d0b0bb6d5e3c6ecd767ca7d575995ff7e2b5

Pith citing papers

No inbound Pith citation observations are available.