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Paper Citation Record · LEDGER

A localized version of the basic triangle theorem

As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.03327.

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

pith.paper-citation-record.v1
1908.03327 v3

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:29:26.691725Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 exact0
  • verified fuzzy13
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ef23e8c1-a0f7-4aea-8531-6e78b2c7bd8d · outbound

This paper cites Berstel, C.

A localized version of the basic triangle theorem Berstel, C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:27.014868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.604422Z digest=sha256:33ffeadc76ee0ffde5d649b51c952f874fc243aa21175911bb6bb786f3a1a7f4

Observation ee621d2b-951c-409d-a4fa-425d0260708b · outbound

This paper cites Bourbaki.

A localized version of the basic triangle theorem Bourbaki

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.993349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.613027Z digest=sha256:3468e488a6493edf789c1a5125d6c19eef1fa81a764a6ffb7ca8db1e386ccb14

Observation b4f4ffe6-9f5f-45e6-b55b-d762312effd6 · outbound

This paper cites Bourbaki.

A localized version of the basic triangle theorem Bourbaki

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.972657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.619597Z digest=sha256:16db1fc83c798aa8d3f193828fc496130804d818fd0070ae38e845260f22d7f0

Observation 6f4af226-b83d-4f31-a26e-3620955d0c34 · outbound

This paper cites Bourbaki.

A localized version of the basic triangle theorem Bourbaki

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.952929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.625009Z digest=sha256:7b670a47f4e1e397acb0733ed4ebb1f8846b59fe637844b69839731824b9b353

Observation 7d052491-ec39-407a-b9cf-b75bf4e6e7cb · outbound

This paper cites Bourbaki.

A localized version of the basic triangle theorem Bourbaki

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.934811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.630949Z digest=sha256:898a950dfeec83e987ed405b62b72545224af5e9eb781424921e5de0e4ad9e18

Observation c2e6b190-cd1e-4718-8224-94f33bed4552 · outbound

This paper cites – Iterated Path Integrals I , Bulletin of the American Mathematical Society, 83, Numb.

A localized version of the basic triangle theorem – Iterated Path Integrals I , Bulletin of the American Mathematical Society, 83, Numb

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.915390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.636130Z digest=sha256:4607a511c74e159ce0e0bb9fa8714cf1894d39ff04c0216d5f4ba226b84c05e8

Observation 88811499-bb2b-4534-adfe-4bd4dd21c779 · outbound

This paper cites Chen, R.H.

A localized version of the basic triangle theorem Chen, R.H

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.895703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.641352Z digest=sha256:80c902de66d91a1cb757e18688dc3f96760bc72e2742d5c22cf44a5064fee825

Observation 886a37ae-5cb5-4e08-bc58-11dfd6ee4a5c · outbound

This paper cites Deneufchˆ atel, G.H.E.

A localized version of the basic triangle theorem Deneufchˆ atel, G.H.E

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.878290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.647883Z digest=sha256:f19e434971326b758d016d0ecb8052fd8ac38351cd6d0ababf4fa1d63bcba6f8

Observation dc4b1714-e25a-4fb1-a1e7-3954baa5b506 · outbound

This paper cites – Treatise on analysis (Enl.

A localized version of the basic triangle theorem – Treatise on analysis (Enl

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.861355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.652730Z digest=sha256:257ad37f4559e840e4dfe6136a458271272d21a58683fdbafa8249b30bff84f7

Observation f39b081b-b9b0-411e-b680-736017051bc6 · outbound

This paper cites Duchamp, D.

A localized version of the basic triangle theorem Duchamp, D

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.843115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.657611Z digest=sha256:1b7ed208a3287229fbc24c50032f63f97a65af10d5f8e18da49b417844fc1054

Observation 369ac788-a810-4c74-a7e9-2a0a9569dd42 · outbound

This paper cites an unresolved cited work.

A localized version of the basic triangle theorem Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:29:26.823581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.662490Z digest=sha256:7ca6f9772f2b2254be88f5f17b310604e7654d0310154d4907ca1398b96e8e10

Observation 5d1c51cf-65af-42c1-9167-60e2987eb42f · outbound

This paper cites Duchamp, V.

A localized version of the basic triangle theorem Duchamp, V

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.804182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.667530Z digest=sha256:27b3eb41f6a9391715ca5012d11ee6ee6cd54232210706bfb733e85bd3c2d3fb

Observation 33ef64ff-a17a-40d9-9c98-f463e8714c38 · outbound

This paper cites an unresolved cited work.

A localized version of the basic triangle theorem Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:29:26.786331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.672300Z digest=sha256:6eb66ea91e8f651f437a7870ab8c366e8dc999d7c2f099fa79775c95bb9d9792

Observation 1124ec8d-233a-436a-ad63-b0606deb2683 · outbound

This paper cites – https://en.wikipedia.org/wiki/Magnus_expansion.

A localized version of the basic triangle theorem – https://en.wikipedia.org/wiki/Magnus_expansion

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.769059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.678601Z digest=sha256:878e9ed4ff5af4f0db3344ec533022aa8a36c46403f4eb577923bceac5ab4244

Observation 8f12b2ad-7afb-401e-bedf-75a1dab43dd6 · outbound

This paper cites van der Put, M.

A localized version of the basic triangle theorem van der Put, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:26.751464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.685328Z digest=sha256:8d2e0b25691f965316006cb5bbb1c8068502500db24c299dff97ff6f8f433f35

Observation 0a0f7b45-0820-4723-a0e9-aceb829a04b6 · outbound

This paper cites an unresolved cited work.

A localized version of the basic triangle theorem Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:29:26.734211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:29:26.691725Z digest=sha256:f9727a5e20d6fb2dc90eb325be692c30ce9740dc678375f3ac97d301bb728ffb

Pith citing papers

No inbound Pith citation observations are available.