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Paper Citation Record · LEDGER

Ordered trees and the Geode

As of 14 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2507.18097.

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

pith.paper-citation-record.v1
2507.18097 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:54:52.152749Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

7 of 7 outbound references displayed

  • verified exact4
  • verified fuzzy3
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1dd7e572-6924-4b22-8139-0155c9df5fa2 · outbound

This paper cites Proofs Of Three Geode Conjectures.

Ordered trees and the Geode Proofs Of Three Geode Conjectures

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-06T14:54:52.267995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T14:54:52.120008Z digest=sha256:eaa7268445baf3710d1d012410ca94dd90c54109c048ce1d652fb72377c4da43

Observation 63e73a50-67d0-41ea-9284-ffbbbcbb8a6b · outbound

This paper cites Some problems of non-associative combinations (I).

Ordered trees and the Geode Some problems of non-associative combinations (I)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:54:52.319863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T14:54:52.125589Z digest=sha256:7482cb73e26f59ced685996eb5963d8ec3560944849c9d9b9d0a17ec0c12ada8

Observation 77af3b06-33a1-4002-b8fa-02ef93122c04 · outbound

This paper cites Lattice paths and the Geode.

Ordered trees and the Geode Lattice paths and the Geode

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T14:54:52.247264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T14:54:52.131415Z digest=sha256:5d73cd685ddb40a747a750e215309b9146c240400f7b9ce20ab77d7f525f397f

Observation aa11e9c2-b2d6-41d1-b9e8-3d1ce867353d · outbound

This paper cites Exercises for A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode.

Ordered trees and the Geode Exercises for A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-06T14:54:52.225468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T14:54:52.136373Z digest=sha256:c8851b214b6ab92e75eaca81f0a81e0feb4011738cde0e2f470dc046d5adfcbf

Observation 1317b8c3-a970-4591-98b6-2132f19682fd · outbound

This paper cites Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger.

Ordered trees and the Geode Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T14:54:52.200133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T14:54:52.141310Z digest=sha256:525b4ff7e1bf6ae7ee9de61acc583a1b38a7c16fbcc6b76eda6ef1ceffdb08b8

Observation d0197561-9aac-46e5-9e3b-cf8f38bfcd99 · outbound

This paper cites Polygonal dissections and reversions of series.

Ordered trees and the Geode Polygonal dissections and reversions of series

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:54:52.302960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T14:54:52.147345Z digest=sha256:5dd4ab13207412ca31bf96ddfda6650c8c6c913f7e7ee12b045ef710fa60f384

Observation 250a179f-d672-428f-b853-d7f1dec1e0df · outbound

This paper cites A hyper-Catalan series solution to polynomial equa- tions, and the Geode.

Ordered trees and the Geode A hyper-Catalan series solution to polynomial equa- tions, and the Geode

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:54:52.286081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T14:54:52.152749Z digest=sha256:263c385d4fbae1236ac4548c3991a4d39b2860ea99d78168f604fcec0fa21363

Pith citing papers

No inbound Pith citation observations are available.