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Paper Citation Record · LEDGER

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property

As of 8 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2505.23092.

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

pith.paper-citation-record.v1
2505.23092 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:00:58.658221Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a70c9bde-9b21-48e8-8ef5-e4feb7fe2d82 · outbound

This paper cites an unresolved cited work.

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:00:59.991549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:00:57.901643Z digest=sha256:2335b457a4797c14444223813f87e47a04e5f25b20423b914091516eebe80314

Observation d3435da6-3d01-4dad-b104-3fc02df3ce0f · outbound

This paper cites 72 + 42: characterizations of the completeness and Archimedean properties of ordered fields.

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property 72 + 42: characterizations of the completeness and Archimedean properties of ordered fields

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:00:59.855460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:00:57.985436Z digest=sha256:0158e4019ceb3f404fc5b0c5c03f4e961ce3f8e08abc921638dc4bc166cb0905

Observation 33a8a1f2-25ea-44af-9295-bf6be1351ead · outbound

This paper cites ¨Uber die nichtarchimedischen Gr¨ oßensysteme.

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property ¨Uber die nichtarchimedischen Gr¨ oßensysteme

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:00:59.744168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:00:58.093426Z digest=sha256:084c211cbc7521eb65dc7befc90c7ddbd806f65b009eb978d8f39524ce8bde5c

Observation 218e3e96-d2a4-49e8-aacb-944e06693930 · outbound

This paper cites an unresolved cited work.

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:00:59.590300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:00:58.199042Z digest=sha256:9241214c0fa5fe9f8a48a89f755480d07e052becb6d0eea0b5ad8027253672f5

Observation 2140d87f-7930-4de3-b4a5-862fbed22fad · outbound

This paper cites Real analysis in reverse.

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property Real analysis in reverse

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:00:59.360350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:00:58.322091Z digest=sha256:675946506cdd112973ee589d247246bcd2df3b99411bba53a6a0f4c90e0188db

Observation 88ccf40d-716d-47ed-9e92-cf3514c1f018 · outbound

This paper cites Principles of mathematical analysis.

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property Principles of mathematical analysis

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:00:59.172689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:00:58.427119Z digest=sha256:dd72208496fea653c471f0fc5c7ed17cb9dcd4ce377d0420dbd45a5e6a017f9b

Observation 56a84e0c-d49e-4aca-b8cc-748396090d72 · outbound

This paper cites On locally uniformly differentiable functions on a complete non-Archimedean ordered field extension of the real numbers.

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property On locally uniformly differentiable functions on a complete non-Archimedean ordered field extension of the real numbers

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:00:59.025385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:00:58.539914Z digest=sha256:fa8c950ce0cec185904a17360876df4e4bc73843e31bab7208b61a2d12751800

Observation 27fb1437-691e-45c0-aede-c934610ec1b7 · outbound

This paper cites Toward a more complete list of completeness axioms.

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property Toward a more complete list of completeness axioms

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:00:58.858719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:00:58.658221Z digest=sha256:d81cb2579b1a802b0630fe194bddfc2e1410b233a33381261be6ab86f654515a

Pith citing papers

No inbound Pith citation observations are available.