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Paper Citation Record · LEDGER

The unified theory of shifted convolution quadrature for fractional calculus

As of 17 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.01136.

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

pith.paper-citation-record.v1
1908.01136 v3

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:34:11.272192Z

measured 37 of 37 standing notices

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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

37 of 37 outbound references displayed

  • verified exact2
  • verified fuzzy20
  • unresolved15
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f28899d-86ea-4c81-b7a8-4423ac652893 · outbound

This paper cites Lubich, Discretized fractional calculus, SIAM J.

The unified theory of shifted convolution quadrature for fractional calculus Lubich, Discretized fractional calculus, SIAM J

Reference 1

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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=2026-08-14T15:34:10.712495Z digest=sha256:02e95041299273ef6e195eb6fee8fce11e26a2d97712098725ee90a8db748fa8

Observation 86ea574d-1430-4bae-9f31-f895dd319627 · outbound

This paper cites Lubich, A stability analysis of convolution quadratu rea for Abel-Volterra integral equations, IMA J.

The unified theory of shifted convolution quadrature for fractional calculus Lubich, A stability analysis of convolution quadratu rea for Abel-Volterra integral equations, IMA J

Reference 2

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raw_fallback, observed 2026-08-14T15:34:13.218592Z

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

source=pdf_text observed=2026-08-14T15:34:10.724747Z digest=sha256:35f85c1aaf57ebfc143e1cde319a558dbfa52b252c6fe51eb6691e8a6bc48783

Observation c48a225d-037c-475f-8213-73f9b276aad1 · outbound

This paper cites Dahlquist, Convergence and stability in the numerica l integration of ordinary differential equations, Math.

The unified theory of shifted convolution quadrature for fractional calculus Dahlquist, Convergence and stability in the numerica l integration of ordinary differential equations, Math

Reference 3

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raw_fallback, observed 2026-08-14T15:34:13.140491Z

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

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Observation 2e61fa80-586c-4017-9ee7-ed56c87c286c · outbound

This paper cites Dimitrov, Numerical approximations for fractional d ifferential equations, Journal of Fractional Cal- culus and Applications, 2015, 5(3S)(22): 1-45.

The unified theory of shifted convolution quadrature for fractional calculus Dimitrov, Numerical approximations for fractional d ifferential equations, Journal of Fractional Cal- culus and Applications, 2015, 5(3S)(22): 1-45

Reference 4

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raw_fallback, observed 2026-08-14T15:34:13.093445Z

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.

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Observation effc50bb-89ac-488c-89ad-420876e6eb91 · outbound

This paper cites Gao, H.W.

The unified theory of shifted convolution quadrature for fractional calculus Gao, H.W

Reference 5

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raw_fallback, observed 2026-08-14T15:34:13.064226Z

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

source=pdf_text observed=2026-08-14T15:34:10.769562Z digest=sha256:f0e0d4cb2ff636942aca39ec732dd404eadab69dd0274f5f40c795a27082519f

Observation a11f98af-122f-465b-9dad-5580cf4952fc · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 6

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

source=pdf_text observed=2026-08-14T15:34:10.789078Z digest=sha256:d9eb4e1c6d66ee9eb026aa0fc2652d8aac9f0eecb42b8cf1c77c8ee982f2ccc8

Observation c3aa372b-71c1-4136-8d56-40c63a4286b5 · outbound

This paper cites Zeng, Z.Q.

The unified theory of shifted convolution quadrature for fractional calculus Zeng, Z.Q

Reference 7

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raw_fallback, observed 2026-08-14T15:34:12.980804Z

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

source=pdf_text observed=2026-08-14T15:34:10.813429Z digest=sha256:331ce4c11507e0b2b0ab150b34eed2f4f48c5ef896495c8f8fc83067d112c8b0

Observation 66cdc064-a48e-4c32-b457-c2d91ca390f6 · outbound

This paper cites Liu, Y.W.

The unified theory of shifted convolution quadrature for fractional calculus Liu, Y.W

Reference 8

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doi, observed 2026-08-14T15:34:11.368388Z

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source=pdf_text observed=2026-08-14T15:34:10.842587Z digest=sha256:cf7a8785e42cda72ef75fa4f48507f56a042e3f1d56d56f38c30441b1df2f5bb

Observation 8eec9a90-7800-4402-8654-ba80da8d69cf · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 9

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

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Observation 87b177f8-75c1-4abf-83d9-e0b6f81f73b5 · outbound

This paper cites Baffet, J.S.

The unified theory of shifted convolution quadrature for fractional calculus Baffet, J.S

Reference 10

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source=pdf_text observed=2026-08-14T15:34:10.885774Z digest=sha256:e9572837bff11e678f93fd082961078ed3ad92f13376ad80a06a8dd36b7874f0

Observation 5ce2f502-33eb-4cc5-ab84-a1f10cc37ef9 · outbound

This paper cites Ding, C.P.

The unified theory of shifted convolution quadrature for fractional calculus Ding, C.P

Reference 11

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source=pdf_text observed=2026-08-14T15:34:10.898024Z digest=sha256:796612c2af1681133c30cd1a36c5b52b4c3492f1cf805cd969404d8aa16ba63e

Observation 618dfda9-ed1b-4eab-b7b9-460de285609d · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-14T15:34:10.911076Z digest=sha256:4500801a9e21c2b86a7319caba0e082ceac882e009c74b3c3525b63ec4d6441a

Observation df654b67-fce8-44d4-af23-f135c251bed7 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 13

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

source=pdf_text observed=2026-08-14T15:34:10.953414Z digest=sha256:b34aa3d83906385f68ca9a35779e3a49fbf23fe809af567b0c7070bbb5ef9abf

Observation af73f052-6f4c-46bf-b96c-817e599709e9 · outbound

This paper cites Zeng, C.P.

The unified theory of shifted convolution quadrature for fractional calculus Zeng, C.P

Reference 14

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raw_fallback, observed 2026-08-14T15:34:12.674457Z

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source=pdf_text observed=2026-08-14T15:34:10.967292Z digest=sha256:2a0015a9747177ad1e8e1d4c4e8042bbf256657be70ce4b4474cd6040ec78d37

Observation feffbfde-f849-40ae-8917-75dc1f480833 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 15

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

source=pdf_text observed=2026-08-14T15:34:10.982149Z digest=sha256:19b3875ff8e95f3e876543a844b06fde79003d7fbb205171c37235fa7ab232b6

Observation 52c6a8a1-1624-4c12-8403-069d615d72d7 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 16

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

source=pdf_text observed=2026-08-14T15:34:10.991311Z digest=sha256:5184939f57a51a6d43eb6250cb6811e287c71971a0cfa32dbf2f1c141a6172fb

Observation ea2dd177-f987-4201-8f42-ef6ca9c323ac · outbound

This paper cites Tadjeran, M.

The unified theory of shifted convolution quadrature for fractional calculus Tadjeran, M

Reference 17

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raw_fallback, observed 2026-08-14T15:34:12.548359Z

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

source=pdf_text observed=2026-08-14T15:34:11.009603Z digest=sha256:a709c9a1c7f27e14aa7160aeb2f69a3d974e131c8290ca8e777092a1b7e36e72

Observation aea35327-444f-472e-be12-2bfd398fe024 · outbound

This paper cites Gunarathna, H.M.

The unified theory of shifted convolution quadrature for fractional calculus Gunarathna, H.M

Reference 18

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

source=pdf_text observed=2026-08-14T15:34:11.020310Z digest=sha256:8a8f9aeebd467c14887bc83209bf506edffaeae71020e0811c4dc6470cbd1e33

Observation 677bf69d-2c4d-4f22-a3c7-d8bd9319a13c · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 19

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

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Observation db26ded5-785f-4e44-bc2d-e804c4a66358 · outbound

This paper cites Liu, Y.W.

The unified theory of shifted convolution quadrature for fractional calculus Liu, Y.W

Reference 20

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raw_fallback, observed 2026-08-14T15:34:12.389397Z

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

source=pdf_text observed=2026-08-14T15:34:11.047980Z digest=sha256:4ec9af55cbbf3316445125c5a0628ca40d3a3129fa1b249870124d7b3ea35f1c

Observation 2657c4d9-50f3-441d-a814-66dbe121a05c · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 21

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

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Observation 64d048e4-679b-40fd-9772-00eac8e6a082 · outbound

This paper cites Two families of novel second-order fractional numerical formulas and their applications to fractional differential equations.

The unified theory of shifted convolution quadrature for fractional calculus Two families of novel second-order fractional numerical formulas and their applications to fractional differential equations

Reference 22

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local_arxiv, observed 2026-08-14T15:34:11.449731Z

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Observation f1382589-c7cd-416e-adde-9eecdbc4bf66 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-14T15:34:11.081250Z digest=sha256:914cdfa3520963c3823b527eb09753643a9958734e4fedabc7277b1203ef1497

Observation e574f5c3-c468-4194-b64c-ebcd9cedbb2c · outbound

This paper cites Jin, B.Y.

The unified theory of shifted convolution quadrature for fractional calculus Jin, B.Y

Reference 24

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raw_fallback, observed 2026-08-14T15:34:12.228450Z

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

source=pdf_text observed=2026-08-14T15:34:11.088655Z digest=sha256:5748f53fc6f5a1202062fa9cdf874883508fb2f1b458c151bda65c6584e54c49

Observation bbf8368b-613d-4274-85df-ee0089ce4a39 · outbound

This paper cites Ford, Y.B.

The unified theory of shifted convolution quadrature for fractional calculus Ford, Y.B

Reference 25

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raw_fallback, observed 2026-08-14T15:34:12.172467Z

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source=pdf_text observed=2026-08-14T15:34:11.098768Z digest=sha256:0a22ee4abbf34a9f58397bfd03f24b2ebc77db031f9ab732e64d023350da39ae

Observation 8a31c214-384a-4368-ba64-c9f08dfb71f0 · outbound

This paper cites Yang, General Fractional Derivatives: Theory, Me thods and Applications, Chapman and Hall/CRC, 2019.

The unified theory of shifted convolution quadrature for fractional calculus Yang, General Fractional Derivatives: Theory, Me thods and Applications, Chapman and Hall/CRC, 2019

Reference 26

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raw_fallback, observed 2026-08-14T15:34:12.119116Z

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Observation 85314bce-3f1e-45e5-822c-32a138cdf74c · outbound

This paper cites Dehghan, M.

The unified theory of shifted convolution quadrature for fractional calculus Dehghan, M

Reference 27

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raw_fallback, observed 2026-08-14T15:34:12.056571Z

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source=pdf_text observed=2026-08-14T15:34:11.127699Z digest=sha256:18cb220beec198ae94d215ef74a1e7d08cf294b45ee2a8d3dd901c93bb6c7530

Observation 9a765f6d-4cc9-46d3-acbc-aa3e11bab9c8 · outbound

This paper cites Feng, F.W.

The unified theory of shifted convolution quadrature for fractional calculus Feng, F.W

Reference 28

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raw_fallback, observed 2026-08-14T15:34:11.997399Z

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Observation e368d3ff-77a0-4e5b-a569-f262f9d8a703 · outbound

This paper cites Baleanu, K.

The unified theory of shifted convolution quadrature for fractional calculus Baleanu, K

Reference 29

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raw_fallback, observed 2026-08-14T15:34:11.943208Z

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.

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Observation 47b62ebe-bed4-46e6-828f-a5529016faa9 · outbound

This paper cites Zhao, A.J.

The unified theory of shifted convolution quadrature for fractional calculus Zhao, A.J

Reference 30

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raw_fallback, observed 2026-08-14T15:34:11.876469Z

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

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Observation f48e06ac-1f73-4255-aca9-fe039ce6dcb3 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 31

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

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Observation 066d98df-2580-4abd-965e-fe9956eacff2 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 32

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raw_fallback, observed 2026-08-14T15:34:11.760637Z

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

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Observation da763290-5ce9-43cd-9ffc-cbfef012e32e · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 33

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raw_fallback, observed 2026-08-14T15:34:11.705804Z

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

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Observation 34dcaff5-adf5-4713-b3cb-84c601758c79 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 34

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raw_fallback, observed 2026-08-14T15:34:11.633188Z

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

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Observation 13361ea9-edd5-4f0b-8139-1fffb1a90dab · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 35

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raw_fallback, observed 2026-08-14T15:34:11.592895Z

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

source=pdf_text observed=2026-08-14T15:34:11.245840Z digest=sha256:457605f721a570dd1e41b31c10ae4246a185fd16e08324e079c8d82c8d59a296

Observation ec0dc11d-e220-479c-af0d-e6d071841b88 · outbound

This paper cites Chen, W.H.

The unified theory of shifted convolution quadrature for fractional calculus Chen, W.H

Reference 36

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raw_fallback, observed 2026-08-14T15:34:11.538314Z

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

source=pdf_text observed=2026-08-14T15:34:11.257080Z digest=sha256:215d8a9e7d68d05c34a950d334cba1b58637ef189d4622ffa7a64ee9868cfe20

Observation 3e1485f0-4194-4e86-8697-1b1f8128ed71 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:34:11.493339Z

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=2026-08-14T15:34:11.272192Z digest=sha256:d72dd4d2ed5df844401fd889f1aa990e966bb338f0cdf4bf07c02d0ff8b5c753

Pith citing papers

No inbound Pith citation observations are available.