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Paper Citation Record · LEDGER

Arakelov geometry of toric bundles: Okounkov bodies and BKK

As of 13 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 1 inbound Pith citation observation for arXiv:2412.04169.

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

pith.paper-citation-record.v1
2412.04169 v1

Coverage vector

measured 3 of 3 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:47:45.739560Z

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:20:19.094042Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T00:20:19.161125Z

Reference resolution

3 of 3 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7ac7f075-600f-4459-b92b-ad5a1d1200e1 · outbound

This paper cites Positive Line Bundles on Arithmeti c Varieties.

Arakelov geometry of toric bundles: Okounkov bodies and BKK Positive Line Bundles on Arithmeti c Varieties

Reference 1161

Resolution
unresolved
no resolver link, observed 2026-08-11T21:47:45.739560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:47:45.739560Z digest=sha256:ebc183f8558165942c00896c9798ad1fdb5b1983ef45252bb9e772dcf0b760b3

Observation 0157a9ca-44fe-4071-9d54-144955062631 · outbound

This paper cites The Multi-Dimensional Version of şb axpdx.

Arakelov geometry of toric bundles: Okounkov bodies and BKK The Multi-Dimensional Version of şb axpdx

Reference 1807

Resolution
unresolved
no resolver link, observed 2026-08-11T21:47:45.731441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:47:45.731441Z digest=sha256:02bba7809c2da6c4fb8da3a65c9f44bcd4387f8b2aa5f6635ca38518876e69b3

Observation 8c73cba4-418e-4b39-9a77-fd61eeb4bfec · outbound

This paper cites Arithmetic Demailly Approximation Theorem.

Arakelov geometry of toric bundles: Okounkov bodies and BKK Arithmetic Demailly Approximation Theorem

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-11T21:47:45.735539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:47:45.735539Z digest=sha256:1733bbb5f807f9fbab397d5c02728452d84fbf4a637b5ad3e13a60bea63d1430

Pith citing papers

Observation 649f89e2-b48d-4fbf-9ca5-413c420639da · inbound

Equidistribution for semiabelian varieties over number fields cites this paper.

Equidistribution for semiabelian varieties over number fields Arakelov geometry of toric bundles: Okounkov bodies and BKK

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:20:19.167753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:20:19.094042Z digest=sha256:3794baa2c88128782ffc4dedd0b7fe9a9ab9eebdf5c8abea1982e575f1da3e01