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Paper Citation Record · LEDGER

Localization and Affine Schemes over $\mathbb{F}_1$

As of 21 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.04843.

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

pith.paper-citation-record.v1
2607.04843 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T12:39:55.646692Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

14 of 14 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved11
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f54dd24-9fce-47ad-a287-826f5ce2968c · outbound

This paper cites Absolute algebra and.

Localization and Affine Schemes over $\mathbb{F}_1$ Absolute algebra and

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:f427888fa83cdd01908e168215494ba099c20c301d78e39cca2004cc90029d70

Observation bcf4d65b-1537-4b3d-9222-5ac53582eeb3 · outbound

This paper cites an unresolved cited work.

Localization and Affine Schemes over $\mathbb{F}_1$ Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:2cd1e33465ef6a41c35e61464850a9a08bbc1fad64b7d5bb885865a750f094bc

Observation 6aa7ddfe-abff-4edc-a573-a77da0c6b90a · outbound

This paper cites The geometry of blueprints:.

Localization and Affine Schemes over $\mathbb{F}_1$ The geometry of blueprints:

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:dbe684d864f0bd7c09167f2de6c20ac8cb9bcc10059b6ee8032cde5461ea7782

Observation 36ee39b2-2b5f-486a-9de5-d7faf759c97e · outbound

This paper cites Schemes over.

Localization and Affine Schemes over $\mathbb{F}_1$ Schemes over

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:89a90ea9dccb3fa510a86dd7a247b39f78b3e6f31b463cc7c705368d4fd7d440

Observation bec8176b-54e4-4c3e-a5c1-27421b7e84d9 · outbound

This paper cites Beitr\"age Algebra Geom.

Localization and Affine Schemes over $\mathbb{F}_1$ Beitr\"age Algebra Geom

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:e796b3eed6389d8c0606bbf429ab9949ea4d8167bd91cb8249dd002ac6c94558

Observation 8106b44b-934b-4aea-89d5-31dda7c50e62 · outbound

This paper cites The local structure of algebraic.

Localization and Affine Schemes over $\mathbb{F}_1$ The local structure of algebraic

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:c6baed5452c64f8485c38998df16a27d193bbd5f9e090270da1a19605e52b40c

Observation 10746520-43e6-4f38-b64d-d4bbc94d437b · outbound

This paper cites 2003 , publisher=.

Localization and Affine Schemes over $\mathbb{F}_1$ 2003 , publisher=

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:eae89c46bcf74a36aa89681ec525a30009a7dcb2de1c0868a1bd9c10b5862893

Observation a26791e6-3ee6-4b84-bacc-56deddfdf4a5 · outbound

This paper cites 2018 , note=.

Localization and Affine Schemes over $\mathbb{F}_1$ 2018 , note=

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:ea9eb6dc97563ad6c2d19f2ab69ba2a11acc361eefb5396f1d9f0f7919039ecc

Observation c5a48191-a752-4de7-880e-2fdf2565fdc9 · outbound

This paper cites Jahresber.

Localization and Affine Schemes over $\mathbb{F}_1$ Jahresber

Reference 9

Resolution
verified exact
doi, observed 2026-07-11T12:48:01.043293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:00e0f7afe4e63344dd1109b278068602a5a10928fe84797d53b89991eded9141

Observation 26f310a6-b435-4cf1-8396-6e027c3b689e · outbound

This paper cites Colloque d'alg\`ebre sup\'erieure, Bruxelles , pages=.

Localization and Affine Schemes over $\mathbb{F}_1$ Colloque d'alg\`ebre sup\'erieure, Bruxelles , pages=

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:e4639e250a15501c9413cba0fceca5c5545957de3b2ebac8833b799e0d247221

Observation 24817378-7ea9-4f92-95dd-51c6e6dc7b8b · outbound

This paper cites Projective Geometries and Simple Pointed Matroids as $\mathbb{F}_1$-modules.

Localization and Affine Schemes over $\mathbb{F}_1$ Projective Geometries and Simple Pointed Matroids as $\mathbb{F}_1$-modules

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:0a401a6ded2e0baebe4bc9dabf1b7d16e3fef45e0bbcd2c33455a167e111d79e

Observation 87780489-7655-4da9-9fa1-83932f9d63a0 · outbound

This paper cites Hyper-Operations and Extension of Scalars from $\mathbb{F}_1$ to $\mathbb{Z}$.

Localization and Affine Schemes over $\mathbb{F}_1$ Hyper-Operations and Extension of Scalars from $\mathbb{F}_1$ to $\mathbb{Z}$

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:3e7a26e1a4c2bd26843067a58a3c97a6e8a25405ca47abe84fe9afbc18827be2

Observation ec074a1d-fc77-4437-8ace-19f6bef36da1 · outbound

This paper cites an unresolved cited work.

Localization and Affine Schemes over $\mathbb{F}_1$ Unresolved cited work

Reference 13

Resolution
parse uncertain
no resolver link, observed 2026-07-11T12:39:55.646692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:608d65f29fd13a34e610f90c3c01ca8cca998650335b2b29527a9b882e62222b

Observation cb9fc576-9d74-48de-8db6-8018e182e4e5 · outbound

This paper cites an unresolved cited work.

Localization and Affine Schemes over $\mathbb{F}_1$ Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-07-11T12:48:01.038964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:8d125976ee39df05231e26c49bcfc49324cbffd78b73b8c60f56ab6a9d236c9f

Pith citing papers

No inbound Pith citation observations are available.