Paper Citation Record · LEDGER

BPS invariants of semi-stable sheaves on rational surfaces

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1109.4861.

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

pith.paper-citation-record.v1
1109.4861 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:54:52.383815Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-23T07:05:30.388999Z

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 391d6895-009b-4252-8893-c095e1ebb0df · inbound

Mock modularity of Calabi-Yau threefolds cites this paper.

Mock modularity of Calabi-Yau threefolds BPS invariants of semi-stable sheaves on rational surfaces

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T11:54:29.586774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4280a447-d2d5-4739-b536-e89895151e4c · inbound

BPS Dendroscopy on Local $\mathbb{P}^1\times \mathbb{P}^1$ cites this paper.

BPS Dendroscopy on Local $\mathbb{P}^1\times \mathbb{P}^1$ BPS invariants of semi-stable sheaves on rational surfaces

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-05-23T07:05:30.390862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 510fcefc-016e-41ad-8f2c-1ff9dc664e4b · inbound

Mock modularity at work, or black holes in a forest cites this paper.

Mock modularity at work, or black holes in a forest BPS invariants of semi-stable sheaves on rational surfaces

Reference 161

Resolution: unresolved; no resolver link, observed 2026-08-16T00:54:52.383815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee84f995-2461-4fa6-901f-81e4e27c8244 · inbound

Refined Vafa-Witten invariants for toric surfaces from supersymmetric localization in 5D gauge theory cites this paper.

Refined Vafa-Witten invariants for toric surfaces from supersymmetric localization in 5D gauge theory BPS invariants of semi-stable sheaves on rational surfaces

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-01T15:37:12.338053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.