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Paper Citation Record · LEDGER

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

As of 14 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 2026-08-14T06:32:32.682623+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:b612b560cd1894f97975b22b973543b5f52a2e1e44f7e6ee4f71ff3a3730fdb9

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:dcd6965ce7acd9010e3bb313ce132f1c5c9fdeedf637db7b070185b29c3654f7

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:f15f29e97fe141a16e1f2d75d79db12adb91144b3621c6fb6b041d0189c6c5fc

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=sha256:4229302b7e5c30c8b6ea69049c0f31616892c1de023c3da42f3b29f0e55912c2

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=sha256:964463b5c2da508e48034b6f87f41e138ae1e37518e63d53af75c60e9838f265

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=sha256:1dc4511b73bd05004eb3e54bc4a0b52ad555c893619b8b0beb847b8a2ffdaedf

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:e6ce5ceffc29865b2c7f720f16875abeaa23c848bc1b03cc385e4aa73b97b409

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=sha256:91f084c2a4b9db01f78a66754c414a860c753c7385ff85b243df32002181b113

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:d41c5c7773357b7efb67a34b6d7d4c7b08effbf657628d62bfcc78c684b9b323

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=sha256:184259b388f93ee2725b95cbd8f95826505e43a0a299748fc66f6edc31e723eb

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:f872b1be67a43956f2d0ce232df030bdba81d82f8640a91d3918ad01ad73f965

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:a4b8e4feb801327fdcda37128cde42593d662f80227a41b23371dc6eaf489f2d

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:b100296962f08664178a6abd9cf6630ce5b287eb38e98b3c1a86012a12c607df

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-07-11T12:39:55.646692Z digest=sha256:8a7390cc6a7fb352b7a884a6e026acd517fbb7d99ed904004e1ca065211863b9

Pith citing papers

No inbound Pith citation observations are available.