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Paper Citation Record · LEDGER

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind

As of 21 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:1908.02862.

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

pith.paper-citation-record.v1
1908.02862 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:39:12.480041Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:39:12.430018Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T14:39:12.512526Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved4
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c8c35506-4321-4cca-8641-b16d3bc23ca9 · outbound

This paper cites An explicit numerical algorithm to the solution of Volterra integral equation of the second kind.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind An explicit numerical algorithm to the solution of Volterra integral equation of the second kind

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:39:12.518710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.430018Z digest=sha256:fa699da31651289d814d154fd575db8d1ededd198fab2366cd32f7f86e32af10

Observation 0bb705e0-0449-455c-87d7-66c1bb670836 · outbound

This paper cites 0 and γ“/n.math´ 1. J/n.math/f.mathp/t.mathq“ ż /t.math 0 p/t.math´τq/n.math´1 p/n.math´ 1q! /f.mathpτq/d.mathτ (2.17) If we select /f.math.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind 0 and γ“/n.math´ 1. J/n.math/f.mathp/t.mathq“ ż /t.math 0 p/t.math´τq/n.math´1 p/n.math´ 1q! /f.mathpτq/d.mathτ (2.17) If we select /f.math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:12.669260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.435360Z digest=sha256:5686c7a1f412c8c5b49c6b07f60751d3e68b78c6bbcc6cded5eb2fb46f2d5e97

Observation 3f461cf7-90c7-4cf3-a81d-3452fb559303 · outbound

This paper cites First, define Lδ(δą 0) pLδ/f.mathqp/t.mathq“ /f.mathp/t.math´δq (3.2) pSδ/f.mathqp/t.mathq“ 1 δ/f.math ˆ/t.math δ ˙ (3.3) S´1 δ “S1{δ (3.4) 8 Lemma 3.1.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind First, define Lδ(δą 0) pLδ/f.mathqp/t.mathq“ /f.mathp/t.math´δq (3.2) pSδ/f.mathqp/t.mathq“ 1 δ/f.math ˆ/t.math δ ˙ (3.3) S´1 δ “S1{δ (3.4) 8 Lemma 3.1

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:12.658903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.439922Z digest=sha256:52cdf8f85c30d8d44133e7c9a2f2554fbad7273a95201ff7c8968f846c3e8ee0

Observation afec63c2-969c-4e5e-9bbd-f2a28ec65fad · outbound

This paper cites an unresolved cited work.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:12.647360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.444312Z digest=sha256:f504f1e2a089edee0b9bb81288c62335446a471ddd42763bf8da1ada65f7aa0f

Observation 0fbe04c1-adbb-4e0b-9954-bb920d4f2397 · outbound

This paper cites an unresolved cited work.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:12.636477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.448629Z digest=sha256:aeb8f5741513cf7912a1659e47265f8d40e89558e0f18549ce29d5e3734f019e

Observation 212ec544-9d14-41b4-9eaf-b9ca87cf6449 · outbound

This paper cites an unresolved cited work.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:12.625217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.451996Z digest=sha256:37bf99d652629a4a4f3d38941f4f393ffac496b46c5b185f669197c73dfa41f8

Observation 8d4cf167-be28-4dc1-b8d8-ac17cbf80072 · outbound

This paper cites Solve the function γ/n.mathp/t.mathq for each /n.math(MATLAB or C++) so that their values can be called.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind Solve the function γ/n.mathp/t.mathq for each /n.math(MATLAB or C++) so that their values can be called

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:12.613645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.455670Z digest=sha256:c28dfceeb7cb66d691a15a60d4ec365a3656bebde9ec7133049133df1718a223

Observation 70ad7ff0-3e5d-4660-85c2-40947b71eb7e · outbound

This paper cites We will also experiment with real-world data by using our generative integral equation model to predict for arbitrary time point.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind We will also experiment with real-world data by using our generative integral equation model to predict for arbitrary time point

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:12.602052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.459172Z digest=sha256:b461c1ca3edaadae6a7e1c44ac8809f6a6d41a01d59f557f5347ae3a929a13eb

Observation 88cf2033-79de-47ef-a391-9410d2fb7c2f · outbound

This paper cites We thank Be- havioral Data Science group, especially Dr Marian-Andrei Rizoiu in facilitating discussions and supporting us with research environment.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind We thank Be- havioral Data Science group, especially Dr Marian-Andrei Rizoiu in facilitating discussions and supporting us with research environment

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:12.590207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.462506Z digest=sha256:66e17239c309f3bc7331ecdf13fea9cddfee9e3a736e5c39ad54b80f2214beab

Observation 84805cae-896c-4500-abfb-0abb0c3bbd4c · outbound

This paper cites This implies (1.1) has an unique solution.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind This implies (1.1) has an unique solution

Reference 10

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T14:39:12.577969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.465598Z digest=sha256:f7b7f63ba23972e2f504bcf852a179d31d0818293a0de8357ecbd7d445407b4b

Observation c66d286f-aae2-4e07-821b-2e9b9764593e · outbound

This paper cites an unresolved cited work.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:12.566538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.468915Z digest=sha256:b6e9f14a006d3eb9368f4a30bf148d7231325c0a8d935a4f09cc6923faefb736

Observation b6338c4a-7627-426a-99ee-3b6841b95c47 · outbound

This paper cites Daley and D.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind Daley and D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:12.553367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.472128Z digest=sha256:24563fa2292f7371092e1a0a1c49c20411d836c9e9322160415b91a8ddcf1e20

Observation 956dc985-1510-413e-bac9-78f44180f690 · outbound

This paper cites A dynamic contagion process.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind A dynamic contagion process

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:12.542570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.476088Z digest=sha256:cf668abda12b875821ad4ae1a4f5b1ba2c10621e4bcc6744143743f17680178b

Observation ed4482c6-a3ac-47f8-94e7-64523aa901af · outbound

This paper cites Expect- ing to be HIP: Hawkes Intensity Processes for Social Media Popularity.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind Expect- ing to be HIP: Hawkes Intensity Processes for Social Media Popularity

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:12.532094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.480041Z digest=sha256:c1acde3ae5088a191e6ec2a877c595c1d314e10bf7b6a09a984f8b5e00299fa7

Pith citing papers

Observation c8c35506-4321-4cca-8641-b16d3bc23ca9 · inbound

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind cites this paper.

An explicit numerical algorithm to the solution of Volterra integral equation of the second kind An explicit numerical algorithm to the solution of Volterra integral equation of the second kind

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:39:12.518710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:39:12.430018Z digest=sha256:fa699da31651289d814d154fd575db8d1ededd198fab2366cd32f7f86e32af10