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Paper Citation Record · LEDGER

Nearly parallel helical vortex filaments in the three dimensional Euler equations

As of 21 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2502.01470.

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

pith.paper-citation-record.v1
2502.01470 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T15:25:57.183003Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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 fuzzy25
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ea5d280-f754-4f59-a525-cd916fa17bbd · outbound

This paper cites Banica, and E.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Banica, and E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.216004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.915701Z digest=sha256:7bbcd43fe80d71d923797c259e109489ee8824e86da3e4dd77c7132fcebba63c

Observation ae3474d0-07d0-424d-a2b0-0b81d2f44433 · outbound

This paper cites Banica, E.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Banica, E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.208392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.928853Z digest=sha256:5105b52beccc146b495022b5be08409bf834506e45395525aae9c34dad7ba6df

Observation 1f2eeeee-ce31-42d7-8e94-ab37290cb3ce · outbound

This paper cites Baraket, and F.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Baraket, and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.200347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.931005Z digest=sha256:db49e13f76af8076d0a5cb22563fad5600a3dd4f0327f942eda67c06b7317ab0

Observation 38c4b81b-37e6-4209-9c97-d4c095efe50e · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:58.192631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.933209Z digest=sha256:81b31494be82c039d7c458b3b79de00599334bbfd1be5414386c451a5953021e

Observation 6e37368e-faef-4ca9-94d6-07fdb7eb403b · outbound

This paper cites Benedetto, E.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Benedetto, E

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.184917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.936358Z digest=sha256:f689f7f24e377b75e92a243489accea4df300c52548a402f7f2ee453fb53d9ee

Observation ba364243-af3e-4df0-a6b0-9bc8173a6480 · outbound

This paper cites Donati, C.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Donati, C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.177105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.942902Z digest=sha256:f16f7c06047f9bce83544c541ce300a5cbbd5f9befb25160324ef74e86cb70ae

Observation 8a9ba48e-25f9-4005-9daf-0df3b16b81bc · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:58.169297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.948042Z digest=sha256:73e3cd710c245b66d149fa143f09cb9829fc2aad2e9ff5b685b07b6125756228

Observation 24033f78-010c-4996-bc27-766e5c5485ec · outbound

This paper cites Cao, and J.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Cao, and J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.161693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.950466Z digest=sha256:d95291e1c985202e9b08be0a4b8a67354b0cdf14377ae9168f9487da837ff1fa

Observation 52aedc81-1972-4416-97b6-00718faaf191 · outbound

This paper cites Cao, and S.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Cao, and S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.155217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.952402Z digest=sha256:bc7efa1b4f632cd7af524dbe9dc05feae258d6dc856c5d36734786705d47ccdf

Observation ffb8cb12-da30-4df3-a693-d0362eb671f0 · outbound

This paper cites Chiron, Vortex helices for the Gross-Pitaevskii equa tion.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Chiron, Vortex helices for the Gross-Pitaevskii equa tion

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.084323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.954384Z digest=sha256:b5d46c1a8b989939f0b56675e4f94627ca91a531864285fe6f933ac888fc301c

Observation 6a383ed1-4100-4bf9-85c0-df7b9bcac5cb · outbound

This paper cites Contreras and R.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Contreras and R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.929055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.956409Z digest=sha256:a85c239b05d8c273896a59138c187eacf52196428d2a11073a24419afcebb98d

Observation aba64c70-207d-4c33-b6bb-08450b9fdf62 · outbound

This paper cites Craig, C.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Craig, C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.883657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.958448Z digest=sha256:32222cc8daedfce9431afa191977eef69119da069d66ae07addd7cd9f9141edc

Observation 21e16513-815d-45bd-b3f3-82bd1ce1c657 · outbound

This paper cites Craig, and C.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Craig, and C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.876401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.960498Z digest=sha256:135d2eda41cf7ecb71f3374aec031f0ab11d5340d7d6bfb0c3495e6c6430d748

Observation a85f14f2-0671-4419-8902-4e30e31e2063 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.868867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.962419Z digest=sha256:5a142e6901c01facd49e6a78b2a594f645a4aa8c70bfb7a0636a8d8054910b00

Observation 926c922e-553e-4224-b57a-5425cb9fcb19 · outbound

This paper cites D´ avila, M.

Nearly parallel helical vortex filaments in the three dimensional Euler equations D´ avila, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.861538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.964364Z digest=sha256:2c9de018e58512afcaa44a39b58c416ba9d72cec4cd4c51ab34cc1512450c688

Observation 5373d05d-e0ec-4272-9994-1cf50691bd52 · outbound

This paper cites D´ avila, M.

Nearly parallel helical vortex filaments in the three dimensional Euler equations D´ avila, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.854073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.966336Z digest=sha256:ee26972ee5e85d54c946379286afcb692049a4df298e5b1f1fc916f3051b692c

Observation 05c4f13d-1ed9-487a-8c13-c8a7a198b78b · outbound

This paper cites D´ avila, M.

Nearly parallel helical vortex filaments in the three dimensional Euler equations D´ avila, M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.846543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.968506Z digest=sha256:2fd588062b54c5b7d16f3a5ef3958af8f3ac94f6cdaeeb29db00027172f8ba6c

Observation d704e12c-94da-44e4-a076-b96676b40c89 · outbound

This paper cites Dutrifoy, Existence globale en temps de solutions h´ elico ¨ ıdales des ´ equations d’Euler.C.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Dutrifoy, Existence globale en temps de solutions h´ elico ¨ ıdales des ´ equations d’Euler.C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.839853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.970383Z digest=sha256:e50e07d1115ae5ed860bd7e18c65a1b6ab74058e66cafea9962738948aa65f66

Observation aa46c797-235d-47cd-932c-103be2f7b260 · outbound

This paper cites Ettinger and E.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Ettinger and E

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.819487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.972235Z digest=sha256:2bca4b3d899bb2c96561159d1801b9307091fd510377a0235502c71b45085097

Observation 3b6c233f-6054-468a-835d-d89bf01cc215 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.773588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.974243Z digest=sha256:9bf0de8a7b8b53a7a68d86e5e65bdfec4c6516c729d0315fc70c6c6b2c13241e

Observation 1cb960ff-776b-45eb-8865-36fbe8f332b1 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.645556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.976287Z digest=sha256:33604d1c99be54899be17178317f88761b7944a07f54f1daf6f8fcaabbeaed2e

Observation 4a2f1a09-f4bc-42d3-a38b-ab44a3de15ad · outbound

This paper cites Guerra, and M.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Guerra, and M

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.626018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.978483Z digest=sha256:9decb5aa311be15767615eac64249a4c63ad0c5179590d34d34d0c8404b1ba1f

Observation aa132494-56b6-44e2-8d35-a1afb03e4650 · outbound

This paper cites Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in $\mathbb{R}^3$.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in $\mathbb{R}^3$

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-09T15:25:57.223943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.980349Z digest=sha256:8dd24ad417b6b3a481e678eb8055d692bfc037c9c0556d602df68c57eee7a242

Observation eaba7224-cf00-43c8-8e0f-ffe73c475db6 · outbound

This paper cites Long time dynamics for helical vortex filament in Euler flows.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Long time dynamics for helical vortex filament in Euler flows

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-09T15:25:56.982863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:25:56.982863Z digest=sha256:e414fdc5ec6de1f8c32521b65df8ecb84e62970f74af6970a532a1361b24cdb9

Observation 36a17d19-ae31-4e03-b43d-9e821a20d9f7 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.619348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.985688Z digest=sha256:9c84ae7164a47f0cfecc92016dce57813be1bab64fd73135ffd810ed96a6b5c1

Observation 489be4fe-9f49-451c-ad0e-007c89a44484 · outbound

This paper cites Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-09T15:25:57.207099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.987892Z digest=sha256:3ada9e9258f54b4f79dfa1fd573e6a91b29ad8fb6f233dd366308aa2ddd85125

Observation f2675e5f-0ef2-4d63-82c0-2153c897fcef · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.611753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.990281Z digest=sha256:cef38035fb1e9f65c399500a7f6e2f2337728ed54d671332f2f92dde75e587ed

Observation 37707004-fdd7-4c2e-b544-8a22068a0936 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.604145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:56.992861Z digest=sha256:a010905401e93a3f603df9e9717e50b9bfd566e37007949070e60179901e2b76

Observation 35644438-d818-43ba-aa78-7bb256962875 · outbound

This paper cites Kenig, G.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Kenig, G

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.595533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:57.000154Z digest=sha256:f8c852c79338dc91470dd1568114cbf4c3b4c0ffc5740085bbf74263070db05a

Observation 36cfebe0-5849-4a65-b680-9571dd650cea · outbound

This paper cites Klein, A.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Klein, A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.587248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:57.028671Z digest=sha256:f00206f75a1ab3c597d86a9d99c34ffb4f7aa16c7f2cd226408ab61bfd286a39

Observation 140a9221-5f31-4505-9469-a59f2cf2a4e3 · outbound

This paper cites Levi-Civita, Sull’attrazione esercitata da una lin ea materiale in punti prossimi alla linea stessa.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Levi-Civita, Sull’attrazione esercitata da una lin ea materiale in punti prossimi alla linea stessa

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.579330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:57.043960Z digest=sha256:734f57837b332caf143f6231046cb92df20a36e80d57aecb97b2c9ffde5ddbff

Observation 5355163a-66b5-426f-b8c9-b260a0f4a031 · outbound

This paper cites Lions, and A.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Lions, and A

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.503854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:57.069881Z digest=sha256:7d236ca1feb9101a3b997dfdd6fa41f68bc5615bd8d7d6c5f8ad295f1c2ebb37

Observation 242cbedc-7143-4193-b9c1-a572e04beede · outbound

This paper cites Majda, A.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Majda, A

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.337432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:57.084637Z digest=sha256:44f0e940e0e80e96956728951bd76a491661b4e5cd519c58aacbe3f923f46dfa

Observation 69897ac4-47e7-4b52-bc7d-9b11620f135b · outbound

This paper cites Norbury, A steady vortex ring close to Hill’s spheric al vortex.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Norbury, A steady vortex ring close to Hill’s spheric al vortex

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.254297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:57.114172Z digest=sha256:246b12cc1243b00fb5657bf8aafc1289fda4135e29de670ec97ce41863602935

Observation b0b12e8c-5ce2-4f10-b155-da62c638488a · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.246203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:57.141939Z digest=sha256:1fe403360afd8c565f23b628a7a763a02874b75e8237ae08b3d15b0767a35da3

Observation 4a64c394-a400-483e-a7bc-486ee14eab10 · outbound

This paper cites Velasco Fuentes, Motion of a helical vortex.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Velasco Fuentes, Motion of a helical vortex

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.238956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:57.169474Z digest=sha256:4919bd8f5940216ad1f70fce1fb5c817ed7bc9cc0a7a84d4ca81890bdf319ba4

Observation f9cf0230-53b3-4a1f-8afb-f72c054037b3 · outbound

This paper cites Wei and J.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Wei and J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.231639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T15:25:57.183003Z digest=sha256:b32aaecaf322229afe4a1170dd6835c1800101625c0d86e1c9d0cfbe84909a6b

Pith citing papers

No inbound Pith citation observations are available.