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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=sha256:542256b707c27956c7eb894aa70a8b1fe39f314c99e77130df1d187181742f98

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:e0c8757db2226784b6c1e69352de3d968242a72e951b9a87d506b859833f848d

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:adc6f0a0c90cbd028841438b8e6ccc985d23387540f812b179777eeef5c44821

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=sha256:8e5ba423c378709c6260b7ac5dadad6813392a99eb558748a5f86389c953d9e2

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=sha256:6c55a08acab78821854f359144e35fba8462ab6203511e86435bdf45c8ddd572

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=sha256:59c13f3718741c190aa1076203f3be954dfbd5597401a751a65ff5668bf9d2d9

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=sha256:712a61ee83fa04f9c78a6135209bb9088b7525507137deeb729c32cc9cc86707

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=sha256:8134da5b02b2fb43a41633ea4198a14b014e75a965acc20debffab0e70c045a6

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:aa848a39ae3fc572f743af39c8090839692098813992cb6a22b2ccfd4193091a

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:c43ade386ef9a88f96930a125fd3c57ac1f03d6469f43c8b508cd728876a7029

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:bf3725027a27582970ae4263ef7e994f0b204a63fe52d0995ce3ebc810ae55a8

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=sha256:2ec7e19e0cc72ea7388e18100a8f589a7057d8c9c7d21a8cf42f4147f3310ed1

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:a9de6ea3ac30027e19ef4518aaa6321c1282fbcfe2826ff39200c424f4d56a8c

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=sha256:41a5082f89ab3ae3210376848d93cdb1da7e6dc2c9f12402181b8209c9c148a1

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=sha256:5236e0c30bf16869dbe7b1dae4f9da90142fadc4b01fc29d0e8a1a9d8ffc2ea0

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:b8c5e3529ed8709d3b30bdaca3d63eb663f1940d7773ef6ae1d60bb2eac383c5

Pith citing papers

No inbound Pith citation observations are available.