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Paper Citation Record · LEDGER

Permutohedra, associahedra, and beyond

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:math/0507163.

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

pith.paper-citation-record.v1
math/0507163 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 2026-08-13T06:32:02.005865+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-01T19:56:11.369020Z

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 193c70ed-0063-4a35-952b-8fdd5f90acfd · inbound

Fano and Reflexive Polytopes from Feynman Integrals cites this paper.

Fano and Reflexive Polytopes from Feynman Integrals Permutohedra, associahedra, and beyond

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-05-21T17:24:16.594917Z

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.

source=pdf_text observed=2026-05-21T17:23:37.427013Z digest=sha256:2baabb823db24329d480358976e9540012541fdd16201128e26ead9e6d7335a8

Observation e8774b56-f832-4771-a3ed-46c29d59eeb9 · inbound

Grothendieck Weights on Permutohedral Varieties and Matroids cites this paper.

Grothendieck Weights on Permutohedral Varieties and Matroids Permutohedra, associahedra, and beyond

Reference 10

Resolution
metadata mismatch
local_arxiv, observed 2026-05-15T05:25:03.655049Z

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.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:ea021b5606f4a0d767c9ccb6f3d7a2f6a0b776ec981bca9eeb03b15a71c4d322

Observation f05702a2-bb24-40b3-adb5-ad82a8505bfc · inbound

Grothendieck Weights on Permutohedral Varieties and Matroids cites this paper.

Grothendieck Weights on Permutohedral Varieties and Matroids Permutohedra, associahedra, and beyond

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-07-01T14:05:46.254453Z

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.

source=pdf_text observed=2026-06-30T22:21:52.878352Z digest=sha256:a51ff5a02dac7e0c5bfa8e4544d9df2e8d357638254f41bf4255a2168b25c688

Observation d9dd304a-4aa3-4da0-b8d3-10eea15c7453 · inbound

A Boolean-Lattice Perspective for All-Loop Two-Site Cosmological Wavefunction cites this paper.

A Boolean-Lattice Perspective for All-Loop Two-Site Cosmological Wavefunction Permutohedra, associahedra, and beyond

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-07-01T19:56:11.370089Z

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.

source=pdf_text observed=2026-06-28T21:51:58.849460Z digest=sha256:e58c077e1789a4dbfa58c27ccefd3fc1e4593ea5ab3bc62b393a7f1ab4a9c7c4