Paper Citation Record · LEDGER

From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:hep-th/0512240.

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

pith.paper-citation-record.v1
hep-th/0512240 v1

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 2026-08-15T21:16:52.372787Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-15T08:29:52.487883Z

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 7d2b89e6-c7a6-40bf-9436-514ba6e7eba9 · inbound

$\mathcal{I}$-Extremization for AdS$_4$ Black Holes: Master Volume, Free Energy, and Baryonic Charges cites this paper.

$\mathcal{I}$-Extremization for AdS$_4$ Black Holes: Master Volume, Free Energy, and Baryonic Charges From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T21:16:52.372787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc859719-c2be-4ea5-9c52-d5fa310af9c3 · inbound

Quiver-Invariant Dualities between Brane Tilings cites this paper.

Quiver-Invariant Dualities between Brane Tilings From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T07:14:02.696909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3ee4959-2c39-4dc6-bd64-993453f8b1a0 · inbound

$S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves cites this paper.

$S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization

Reference 64

Resolution: verified exact; local_arxiv, observed 2026-05-15T08:29:52.491553Z

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 7cb45e33-ec0a-413f-a3e3-e3e9f06c79af · inbound

Tilting Mutations and Quiver-Invariant Dualities in Brane Tilings cites this paper.

Tilting Mutations and Quiver-Invariant Dualities in Brane Tilings From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T11:26:02.418754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.