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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 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.430018Z digest=sha256:f33485eddaf730383789c6a3165d0ffd49b13287270dd6f3b45a215797bcae5f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.435360Z digest=sha256:1a71b45b8ad230fe2f198b8d645eb398c9c092fe207ada30befb4c632eaa0235

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.439922Z digest=sha256:baf008182009ed787d4b870ae3003ca29154550585f8cfee3d8f83da085a8031

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.444312Z digest=sha256:b09ad25136f75067822a5a1c990152f885fe061f266f247b1518f54937125f1a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.448629Z digest=sha256:944f52cc5d7c6efde652fc2579a7c169e9a62700801ca967973cf03c195c08cc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.451996Z digest=sha256:46286ac88d6be8720c59b440cbd741e7cf5ef5652b4b540a3afbeb032e2ce4b2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.455670Z digest=sha256:29456948ff60400afa89515fc0e0c112513fe50df0d921d9d44668518062a1f1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.459172Z digest=sha256:aafb6b24bd7c0ba500eea5e71b8a45b36cbde27056d82ec7c3079ef019d8925d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.462506Z digest=sha256:0ca800d729891a32439849ca6b25fa169be8069804c37056cdc886a20cee23cd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.465598Z digest=sha256:cc04a22a8c5250d12dc72184068322b83cd4bf922e66472312b789d14f83dfbb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.468915Z digest=sha256:3f7337f33a443b0840d7a5d81b2fd19a4e65fdc6791ab0a06809106b6927513a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.472128Z digest=sha256:c89bbf8324bcd51a2cfb4a40753d283eed7c4f29911585568d1115ac298f59b7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.476088Z digest=sha256:dc7e9e65fdd0d3cd2f81ca81db078cae5d662bc18477593c44a300ee409c467f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.480041Z digest=sha256:ad56fc0aadc8e79cd7d369ed63916ecf7b3b9a655713dd46532d98e981e6652e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:12.430018Z digest=sha256:f33485eddaf730383789c6a3165d0ffd49b13287270dd6f3b45a215797bcae5f