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Paper Citation Record · LEDGER

Hyperreal differentiation with an idempotent ultrafilter

As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2411.14689.

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

pith.paper-citation-record.v1
2411.14689 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:14:01.105479Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy3
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e85edb37-386a-44c0-8acb-a2c7c0653d32 · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.293982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.048442Z digest=sha256:8539c5349b9bfa215ea6d3a612ebd0d29bf2abb624f91f2155d39ae708b5f879

Observation efc3305a-7975-4edb-922b-3646beebbbdf · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.284778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.052711Z digest=sha256:736bc52c31201b84cee8d246c4d69e34dfbc27a1a8d041e8320088f398db9cc6

Observation 5d948733-55dd-4c4a-97c9-1cb6f5e90f30 · outbound

This paper cites Ultrafilters across Mathematics.

Hyperreal differentiation with an idempotent ultrafilter Ultrafilters across Mathematics

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:14:01.274805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.056732Z digest=sha256:560391c9f21b7d865c9b565617bb11f330307cae7cb6e47d4d8d74ae5f00ce18

Observation 16dbf616-39a1-43c2-8fd4-11290d4314b1 · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.264856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.060455Z digest=sha256:c7ca9efb4d964b86e1b0e499024dc30d4b4e5bc6a2ca756599c33a6163df50d6

Observation cebd1321-f177-48dc-ac8c-1e85b8947e5d · outbound

This paper cites Arithmetic and Geometry, Lon­ don Mathematical Society Lecture Note Series.

Hyperreal differentiation with an idempotent ultrafilter Arithmetic and Geometry, Lon­ don Mathematical Society Lecture Note Series

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:14:01.255614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.064638Z digest=sha256:4a04dc84644600e8b4b5b6fd63a718dfc3567c9f37252d7c8d85e98fdb4cdb37

Observation bdfceab8-092e-44ff-8b53-91a1f323ade3 · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.244995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.068169Z digest=sha256:0716aedfc63564415c803c8cdfd939bf0ce673ed215a83af3a75362b93eb5ad7

Observation e20605fe-c36c-40ba-8a33-2a7a4ccf1448 · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.234072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.072129Z digest=sha256:a0e1cb29f74b062345d68627e9a9720c9b95fbf843894c37805b8f0ddc6a6513

Observation 6218aff0-05f4-40c9-9dc0-f9154401b2e2 · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.223762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.076389Z digest=sha256:47239180de642ddbd107a183e154a10eefc1316fe2fb58e603f2821f275ea9b4

Observation a4690124-49b9-4752-8b31-b2d513f422a3 · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.213013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.079788Z digest=sha256:042186bfe686e8eff55bcb8e8bda8ec2cccff833f40b6137fa5aaf47b048041f

Observation c7ae1f47-ac09-4ac2-89bd-f95886fb4ff9 · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.202640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.083431Z digest=sha256:ec69b504f7dc4b329308b133b9bc437aa3d1871036ff43db452eaec22f3219e7

Observation cbc92f10-cf1a-4e40-b564-7615ac28391f · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.191958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.086810Z digest=sha256:c3d5c8b652e1e3c0148b3c161d674fa942adb92a6a7cc4659f666bf7b018fa0f

Observation 4ef94340-d8ef-44b0-9daf-e60da7d12897 · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.181947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.090279Z digest=sha256:f5a4304b576ff52513960fe56e0885c15fc7844bd08f2f36b21a4f4d04649bf9

Observation 41376429-274f-4c85-8c5f-36df68890873 · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.171807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.094410Z digest=sha256:362d89b217416237c6aae88cc59cbdfe8e0280b9a797d2b7b87e4ec4e5b9805c

Observation 8bd4591e-2e5c-4808-a2e5-e0bae0cce8c2 · outbound

This paper cites Generalized Number Derivatives.

Hyperreal differentiation with an idempotent ultrafilter Generalized Number Derivatives

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:14:01.139038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.097649Z digest=sha256:bcbf4f395a5411f0ff3a939da80a5cd1d8a540d3e1ad60a8a4d6ea6dc0d76a97

Observation b482b064-92a3-4119-b477-6719a4207a1b · outbound

This paper cites an unresolved cited work.

Hyperreal differentiation with an idempotent ultrafilter Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:14:01.160915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.101751Z digest=sha256:b3a9a452e74021b0fcad8aeb4cc421c007c2d97e68cfa96ed5d4db28d8b898b4

Observation c62680d0-fb2c-4546-8da0-a517aab9366e · outbound

This paper cites Securities and Exchange Commission Union University samuelallenalexander@gmail.com, bdawson@uu.edu Received: aa bb 20YY Revised: cc dd 20ZZ.

Hyperreal differentiation with an idempotent ultrafilter Securities and Exchange Commission Union University samuelallenalexander@gmail.com, bdawson@uu.edu Received: aa bb 20YY Revised: cc dd 20ZZ

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:14:01.150458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T15:14:01.105479Z digest=sha256:93b91ea9f163b9e31ddac5645eb95ee5f4280969f079035919ddab5d3d68bc58

Pith citing papers

No inbound Pith citation observations are available.