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Paper Citation Record · LEDGER

Notes on Grothendieck topologies, fibered categories and descent theory

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:math/0412512.

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

pith.paper-citation-record.v1
math/0412512 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:01:09.083032Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-04T05:49:36.903370Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 4071d97b-5ff5-41e0-ae41-9daca24d3db8 · inbound

Entanglement of Sections: The pushout of entangled and parameterized quantum information cites this paper.

Entanglement of Sections: The pushout of entangled and parameterized quantum information Notes on Grothendieck topologies, fibered categories and descent theory

Reference 145

Resolution
verified exact
local_arxiv, observed 2026-05-24T06:54:03.372593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-05-24T06:51:41.671761Z digest=sha256:869d5ea1d6ed3e929f998911c496f95e4f318087b9608ac5a3d993710eef4549

Observation 97516f4b-12a1-40f4-8755-3e94362bee5e · inbound

On the standard models of del Pezzo fibrations of degree four cites this paper.

On the standard models of del Pezzo fibrations of degree four Notes on Grothendieck topologies, fibered categories and descent theory

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T12:01:09.083032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T12:01:09.083032Z digest=sha256:086903a1a398dc03f96f9015cdbd632dbff1b821da877112dbb707ba4265766e

Observation e21ba983-90bc-414e-8b79-e9c1f7acdce4 · inbound

A Vafa-Intriligator formula for semi-positive quotients of linear spaces cites this paper.

A Vafa-Intriligator formula for semi-positive quotients of linear spaces Notes on Grothendieck topologies, fibered categories and descent theory

Reference 453

Resolution
unresolved
no resolver link, observed 2026-08-07T14:49:29.257543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:49:29.257543Z digest=sha256:e31d734d4f9b5809d887812426ef3e55c5994eca317906e766bbd3319dca6b4f

Observation b94d58ba-1d2e-4b44-b6a0-024511c0a39c · inbound

Baues-Wirsching Cohomology and Svarc Genus in Small Categories cites this paper.

Baues-Wirsching Cohomology and Svarc Genus in Small Categories Notes on Grothendieck topologies, fibered categories and descent theory

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-05-22T00:30:49.085861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-22T00:29:12.237349Z digest=sha256:5555adbed68172697b268dfb94f84eb958ea4a75ac1f4996aa42eae6aa531a5b

Observation 008bda99-6e2f-45a4-aa3d-930c6fb4cd0b · inbound

Grothendieck topologies with logarithmic modifications cites this paper.

Grothendieck topologies with logarithmic modifications Notes on Grothendieck topologies, fibered categories and descent theory

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-04T08:10:02.084673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:10:02.084673Z digest=sha256:7289b50d9074903c68c9cc105a91de5d5176e747e9c20640ca8f1c962453807a

Observation ece121d7-005a-4663-98b8-14a955ad1dc9 · inbound

A Global Model Structure for $\mathbb{K}$-Linear $\infty$-Local Systems cites this paper.

A Global Model Structure for $\mathbb{K}$-Linear $\infty$-Local Systems Notes on Grothendieck topologies, fibered categories and descent theory

Reference 123

Resolution
verified exact
arxiv_id, observed 2026-05-11T00:05:50.496804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-05-10T18:42:14.801331Z digest=sha256:f98238d28a386845b3ac7d05c7ce27c8142cac0d569ccd08542778aca84c3c25

Observation f1c8a595-4022-4ded-a8b3-f329d777a3b8 · inbound

Geometric realization of affine bases: the Kronecker quiver case cites this paper.

Geometric realization of affine bases: the Kronecker quiver case Notes on Grothendieck topologies, fibered categories and descent theory

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-07-04T05:49:36.904954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-26T15:30:44.479335Z digest=sha256:eb141348ebe2bc7d80b1f25612fc0022e35a26cbdebaf4b7659618c4eefcafe7

Observation faf9406d-94ac-4fc5-a1cc-383faaa30880 · inbound

A Deep Dive Into the Tangent Category of Schemes cites this paper.

A Deep Dive Into the Tangent Category of Schemes Notes on Grothendieck topologies, fibered categories and descent theory

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-10T19:40:27.878092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T19:40:27.878092Z digest=sha256:a19d217629674359a6e9840f021ef9b4d349b8942c8b20f0705450e9b35336c4