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Paper Citation Record · LEDGER

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger

As of 14 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 3 inbound Pith citation observations for arXiv:2507.04552.

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

pith.paper-citation-record.v1
2507.04552 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:54:46.691098Z

measured 13 of 13 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:14:13.989465Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T14:54:52.192407Z

Reference resolution

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0d24a082-2d60-46f4-bb38-18facba27047 · outbound

This paper cites Proofs Of Three Geode Conjectures.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger Proofs Of Three Geode Conjectures

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T19:54:46.635287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:54:46.635287Z digest=sha256:74e5f2696b572f53413e4901bb195f23939cc5c6c68d328a6e8be2fd9ecc52ce

Observation d2fdb674-aec5-475e-836f-fbeb7695f703 · outbound

This paper cites an unresolved cited work.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:54:46.934695Z

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=2026-08-06T19:54:46.642711Z digest=sha256:1605cd4ea76a6c744d7543c4097c6ce3b17d3ff1bd9de45d70ec90da734fc07e

Observation f6d10186-2195-4258-9983-7b6e51468e96 · outbound

This paper cites Erd´ elyi and I.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger Erd´ elyi and I

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:54:46.906423Z

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=2026-08-06T19:54:46.647919Z digest=sha256:9da605e2a7b93d99ea331484a94290384b38252e7f6903aeb58f89bf0749f4a4

Observation 19cb1425-2cde-4093-80ca-04e34577a52f · outbound

This paper cites Electronic Theses and Dissertations.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger Electronic Theses and Dissertations

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:54:46.862205Z

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=2026-08-06T19:54:46.654618Z digest=sha256:dc94d55f9c700e40cf2acd81237a722cc202ffbdb421c444c52a5bead3798967

Observation dd286242-9901-4ebb-878b-02042bfca812 · outbound

This paper cites and Knuth Graham Donald E.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger and Knuth Graham Donald E

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:54:46.838010Z

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=2026-08-06T19:54:46.661283Z digest=sha256:1c152f333b4042809a058ab4c2c55587197c3f83c111fb1d1c4678cb8e806cb5

Observation ae76dd5e-25f4-41ad-883c-196657620f46 · outbound

This paper cites Knuth, The Art of Computer Programming, Volume 1 (3rd Ed.): Fundamental Algorithms, Addison Wesley Longman Publishing Co., Inc., USA, 1997.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger Knuth, The Art of Computer Programming, Volume 1 (3rd Ed.): Fundamental Algorithms, Addison Wesley Longman Publishing Co., Inc., USA, 1997

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:54:46.821264Z

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=2026-08-06T19:54:46.668943Z digest=sha256:d52f936ad3a8fd3347c1b3d3fbb3b5c026e070318459901bc353e94e552ef7b3

Observation 6c72a11c-14a5-4d97-853e-f7462d4ab72b · outbound

This paper cites an unresolved cited work.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:54:46.803101Z

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=2026-08-06T19:54:46.674836Z digest=sha256:867f1032620f95d4b9f19646dca3422e3424d753fa4f68f036b17f74ed8289c7

Observation 35e58ec0-7d82-437e-8770-1f965c2a0cca · outbound

This paper cites an unresolved cited work.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:54:46.785270Z

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=2026-08-06T19:54:46.680356Z digest=sha256:18a46da405f1eb6f53d0129462a9f1c8beab5c03369a8320594c309eed1a6c5d

Observation 7f137f4f-ffea-44b6-a377-81b6b019f8f7 · outbound

This paper cites Raney, Functional composition patterns and power series reversion, Trans am math soc 94 (1960), 441-451.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger Raney, Functional composition patterns and power series reversion, Trans am math soc 94 (1960), 441-451

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T19:54:46.686008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:54:46.686008Z digest=sha256:26ac509586ef5a0d3a29e7a45de5838fd98d975fb264bb41381c8c705f1e265e

Observation f1a8abc0-9bb0-4a7c-8df8-5f2752e5772c · outbound

This paper cites an unresolved cited work.

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:54:46.755717Z

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=2026-08-06T19:54:46.691098Z digest=sha256:5cb3dfd36d095ae9c4a485aa47f6843893af443c27a81e79b462bddbd22937d9

Pith citing papers

Observation 0f66b5d6-eaed-4a82-8425-78d44a8c6fa4 · inbound

Lattice paths and the Geode cites this paper.

Lattice paths and the Geode Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T18:14:13.989465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:14:13.989465Z digest=sha256:57476cc2248f5c132b8c0fe167ab878373d07029541f95aff9d2fabc2d90a657

Observation 81de511e-ed88-4d0e-bfea-17cc26d5d6ff · inbound

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

Exercises for A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T16:41:39.463365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:41:39.463365Z digest=sha256:ddfae7351ab1e49a91f24f6f5b9c43f835b7c32727b7640078d2cd1b2a536451

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

Ordered trees and the Geode cites this paper.

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