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Paper Citation Record · LEDGER

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

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 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 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T11:26:02.418754Z

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 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.

source=pdf_text observed=2026-08-03T07:14:02.696909Z digest=sha256:016d6de3c791eba7dbbee751eb92d498043c541207643efb3025e7395dd517c2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-15T08:26:00.510133Z digest=sha256:90d1b0d7902b3a480dd5fd329a9fec433cb03c3d72fbfb6ac819e20410fdaaee

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.

source=pdf_text observed=2026-08-10T11:26:02.418754Z digest=sha256:a745530684c43b07b4a80dc6e0b6816f9786d08dfe6b0b1e504878ced17bde2a