Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
BPS invariants of semi-stable sheaves on rational surfaces
As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1109.4861.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T11:54:29.586774Z
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 2026-08-13T06:32:02.005865+00:00.
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.