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Paper Citation Record · LEDGER

An abundance theorem for generalised pairs

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2103.11813.

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

pith.paper-citation-record.v1
2103.11813 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:47:38.577680Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T23:45:49.453518Z

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 d39a546f-8ef6-4971-91c6-a96c8e5a7de2 · inbound

$P$-trivial MMP, Zariski decompositions and minimal models for generalised pairs cites this paper.

$P$-trivial MMP, Zariski decompositions and minimal models for generalised pairs An abundance theorem for generalised pairs

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-10T20:47:38.577680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:47:38.577680Z digest=sha256:e4ed70f6b037577460243e9814d2cc9d1dad155132325f1f2efd1963560dd070

Observation 94e87f1d-1aaf-4b75-b1c3-7259a8f4ef99 · inbound

Discreteness of volumes of divisors on Calabi-Yau type varieties cites this paper.

Discreteness of volumes of divisors on Calabi-Yau type varieties An abundance theorem for generalised pairs

Reference 81

Resolution
verified exact
local_arxiv, observed 2026-08-05T23:45:49.456847Z

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=2026-08-05T23:45:49.025426Z digest=sha256:a3231e367a46a68dd5b86373dc64c8028c949a88a725008692f22a04fe7788ad