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Paper Citation Record · LEDGER

Exploring Integration by Differentiation

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2505.22896.

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

pith.paper-citation-record.v1
2505.22896 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:08:57.596857Z

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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-12T01:34:30.446387Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T07:51:47.381253Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d01836c3-1736-46c5-986e-4a30076c48ab · outbound

This paper cites Agoh and K.

Exploring Integration by Differentiation Agoh and K

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:01.570222Z

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=arxiv_source observed=2026-08-07T13:08:55.671856Z digest=sha256:d386f7476dfc5f8d25fb0d6e76fce2d6668331b5463fcc2d9a52ad00d94413db

Observation cb318551-2c44-45b0-9454-b01c762aa899 · outbound

This paper cites Abramowitz and I.

Exploring Integration by Differentiation Abramowitz and I

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:01.327484Z

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=arxiv_source observed=2026-08-07T13:08:55.809428Z digest=sha256:ccabfa25585996e4e7925d3648d35c29ce93894b69a7946882419b18f646271b

Observation b4faf1a4-8c23-4095-ac4e-31f0c161aad3 · outbound

This paper cites an unresolved cited work.

Exploring Integration by Differentiation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:01.025919Z

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=arxiv_source observed=2026-08-07T13:08:55.933879Z digest=sha256:6a2e58f8a677f655ecb6e3beac4d12446d12b6228b14d048492223e1f2448b4e

Observation 84b3ec89-1898-4df4-a8b7-5f20e21f500a · outbound

This paper cites an unresolved cited work.

Exploring Integration by Differentiation Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:00.744910Z

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=arxiv_source observed=2026-08-07T13:08:56.072833Z digest=sha256:2b8759667b4cdd944caf565b1b7a34a8861f4f15102351c64e050972a4cba81a

Observation db38a8e6-38e8-4627-b607-06b4f356e401 · outbound

This paper cites Cohen, The Weyl operator and its Generalization, Birkh\" a user, 2013.

Exploring Integration by Differentiation Cohen, The Weyl operator and its Generalization, Birkh\" a user, 2013

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:00.451234Z

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=arxiv_source observed=2026-08-07T13:08:56.235932Z digest=sha256:e8bab16264158c03750c071dee4b235f0998e2c4314e9f9598103aae70e0b859

Observation 86bc4747-dff1-40ce-9252-ea8e354da938 · outbound

This paper cites an unresolved cited work.

Exploring Integration by Differentiation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:00.164276Z

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=arxiv_source observed=2026-08-07T13:08:56.385059Z digest=sha256:92d40b01330b02ae4f1a8542daaecc78cb76933858096fd8d95f43cb31c92f35

Observation ded79ab4-e36a-4673-a6bc-585d04601b99 · outbound

This paper cites Kempf, D.M.

Exploring Integration by Differentiation Kempf, D.M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:08:59.833564Z

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=arxiv_source observed=2026-08-07T13:08:56.595923Z digest=sha256:c8fd77b39ff059427ef3b661cde51eb21912f215b2741f7135de267b98e23f43

Observation 6e0e663e-6163-436d-9686-1a7b12db224d · outbound

This paper cites an unresolved cited work.

Exploring Integration by Differentiation Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T13:08:56.703266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:08:56.703266Z digest=sha256:90acd222326d53f5e5a16fd6ce35b3304783d04c5120093a6c16dc5ffe98491f

Observation b2428b5a-4cae-42ee-982a-b56646c3c52d · outbound

This paper cites an unresolved cited work.

Exploring Integration by Differentiation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:08:59.531543Z

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=arxiv_source observed=2026-08-07T13:08:56.844646Z digest=sha256:e7afee64d032b3b136b48d28a2afb6f155993a7afa9165c9d0ac9c464e788bf6

Observation 20b10b5a-2cc4-4179-a4d5-482a7b1b935c · outbound

This paper cites Prudnikov, I.U.A.

Exploring Integration by Differentiation Prudnikov, I.U.A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:08:59.222011Z

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=arxiv_source observed=2026-08-07T13:08:56.968998Z digest=sha256:95b0a85d5e8337589f896281f0f9936dbe8acec8d0fdc984d8ac780d528983e5

Observation 10e2f009-f85c-4cd4-af2a-1d8fa8a50bf5 · outbound

This paper cites Kempf, D.M.

Exploring Integration by Differentiation Kempf, D.M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:08:58.923794Z

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=arxiv_source observed=2026-08-07T13:08:57.093915Z digest=sha256:ddad1861dd81c9eebbd89a947c440370afd1d0d6873654a41ff7a4d495c9dc15

Observation 6e8d1c81-5275-4198-ac41-338beb6eab4d · outbound

This paper cites an unresolved cited work.

Exploring Integration by Differentiation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:08:58.645168Z

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=arxiv_source observed=2026-08-07T13:08:57.252942Z digest=sha256:86811b5df57c84491d4d5601c2b83317100b5820a9728cabbb50d285fb83f568

Observation fb683783-6065-470e-bfc0-099c353d2a08 · outbound

This paper cites an unresolved cited work.

Exploring Integration by Differentiation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:08:58.431683Z

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=arxiv_source observed=2026-08-07T13:08:57.406647Z digest=sha256:6a931494831407ff2edb32428579fb2fec2bf164529e6e6afaabc96d9ba127ab

Observation 73da5b3a-d00c-4d96-afb6-dec4c84d3fb9 · outbound

This paper cites Kurokawa, K.

Exploring Integration by Differentiation Kurokawa, K

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:08:58.164935Z

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=arxiv_source observed=2026-08-07T13:08:57.507761Z digest=sha256:79863068b550495d0d210ddddfc0eb4c412df3220572156f68e6db8ee59270cc

Observation 02c8c807-1b34-404a-87e3-ef7a2f8bd30a · outbound

This paper cites and Delerue, P., Le calcul symbolique à deux variables et ses applications, Mémorial des sciences mathématiques, vol.

Exploring Integration by Differentiation and Delerue, P., Le calcul symbolique à deux variables et ses applications, Mémorial des sciences mathématiques, vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:08:57.870959Z

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=arxiv_source observed=2026-08-07T13:08:57.596857Z digest=sha256:c2b436e122cd036830c2043d1a5fe046434a9f483c18ca12e0a5483e47c251ae

Pith citing papers

Observation 09f3aced-eb75-4615-a26c-06d6a2469f69 · inbound

Learning from Ramanujan: Elementary Approaches to Profound Ideas cites this paper.

Learning from Ramanujan: Elementary Approaches to Profound Ideas Exploring Integration by Differentiation

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-12T07:51:47.383601Z

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=2026-05-12T01:34:30.446387Z digest=sha256:fe57cce8ebd374162ae506ba0fb1e2ee53992352beedbafb9231f41120935deb