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Paper Citation Record · LEDGER

Exponential growth and decay in the ideal induction equation

As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2608.05997.

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

pith.paper-citation-record.v1
2608.05997 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:52:51.965284Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

39 of 39 outbound references displayed

  • verified exact3
  • verified fuzzy15
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c85eff9-1239-45ea-923c-0332e3f3ac3c · outbound

This paper cites Alberti, G.

Exponential growth and decay in the ideal induction equation Alberti, G

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.799758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ba3c191f-0351-4ff4-a6d2-82a0a8dcaf01 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.783819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.781889Z digest=sha256:a6bb6cefd51dcfd3f70ce701f866e2994a5c06cf749f13f25a3234ee32efb505

Observation ea6ec172-ae24-4718-bc25-a5453652bba4 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.767350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.786754Z digest=sha256:1c7803425b6e8a67ca4313bf63b234b99c74e7d911f00be8cc220f212b0497a3

Observation 7debd657-3b44-4551-8588-16421de70c5b · outbound

This paper cites Aubin,Nonlinear analysis on manifolds.

Exponential growth and decay in the ideal induction equation Aubin,Nonlinear analysis on manifolds

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.751215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.791442Z digest=sha256:d39c33ca52dcffcf85fc66df4bd99d9ede14cddfb0ef19de21b0c20efd069c6c

Observation 669686ca-e9b8-48bd-80b4-9dd8c76ec4ac · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T19:52:51.796525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:52:51.796525Z digest=sha256:5924bea8abede651647118964e9c953165b1693557432359e8c4f7f5851556c3

Observation 8f1c4f0f-82f3-40a6-bf35-c3a32356afdf · outbound

This paper cites Bedrossian, A.

Exponential growth and decay in the ideal induction equation Bedrossian, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.723851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.801419Z digest=sha256:325d065231ad7bd0d5bd3ed0bda2237870445331176b7b130e0d3b6734a2db51

Observation 7cf05ffb-f2aa-4da1-bb6b-b35892258b3d · outbound

This paper cites Blumenthal, M.

Exponential growth and decay in the ideal induction equation Blumenthal, M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.706277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.806631Z digest=sha256:fb3c424e67aba903db53686dcc252a246cb74f5cb2a91deba0b002d15bff0b32

Observation 2c180eea-f6bf-4474-af74-e1e197c41f61 · outbound

This paper cites Bru` e, M.

Exponential growth and decay in the ideal induction equation Bru` e, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.690717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.811333Z digest=sha256:8155623028b1ca3c95842edb08d220d74355d88fd588eecbb3face08a25b5888

Observation 72854bde-c9c4-4cd1-9d78-7cce7d25d011 · outbound

This paper cites Childress and A.

Exponential growth and decay in the ideal induction equation Childress and A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.674694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.816013Z digest=sha256:7acd0e6b12a7df7016fea846e033fc45e57fbd9043528a9f26f1ce481d52b6d4

Observation 70187f1b-53e9-4bf0-96bf-c1b0acf974bb · outbound

This paper cites Cooperman and K.

Exponential growth and decay in the ideal induction equation Cooperman and K

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.657983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.820682Z digest=sha256:ea29207fde5986a1be836b565dee7168f4f2abd1b7112ec310c02900359dc320

Observation 62c43bd0-2f1a-4f87-a1ad-731aa6ed070c · outbound

This paper cites Coti Zelati and V.

Exponential growth and decay in the ideal induction equation Coti Zelati and V

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.641921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.825460Z digest=sha256:1e287e8a2637860e75d165289bd2696b51597d059d3ec1e7acb8f444a4c67070

Observation 3cb4772a-1b3f-4ed0-acf2-3a6a1c318cc5 · outbound

This paper cites Alpha-unstable flows and the fast dynamo problem.

Exponential growth and decay in the ideal induction equation Alpha-unstable flows and the fast dynamo problem

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T19:52:51.830062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:52:51.830062Z digest=sha256:19915d8f2e70d263ad2e54dca362669adbcb60d7de83501d7a4cc04d31663d45

Observation 0a9fe16a-e2bc-4e61-96df-9d8d20b2a3a7 · outbound

This paper cites A fast dynamo on the three-torus.

Exponential growth and decay in the ideal induction equation A fast dynamo on the three-torus

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T19:52:51.836282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:52:51.836282Z digest=sha256:366993a6da5c7a3fc35d43c206cb9ee0e0fb1c0a33ae06294e80beb309fc1ac0

Observation 1d34cfeb-4d91-4238-bf53-014123504d91 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T19:52:51.841616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:52:51.841616Z digest=sha256:425e947d848efd061747bc71fde8caa90e175dc3905c9cfee161d0c855053dbf

Observation abc830b7-ccbc-4ecd-91d8-aba3539d9fa3 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.614433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.846325Z digest=sha256:c23f2f6f8d81676b1b2caa3e0f41f6125b4666f37277ae834c02fddf38676145

Observation 816030f2-6218-46cc-925d-891d8dd1c60a · outbound

This paper cites Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation.

Exponential growth and decay in the ideal induction equation Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:52:57.274661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.851113Z digest=sha256:649416480ce60fd2cc9d60eb0ba0f2d1dfb4bd13732d202c8266640dc34a2523

Observation 3e78a0f5-8f42-4ecf-b255-4b4be3a4b26a · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.598855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.856212Z digest=sha256:d7e1a02e795107ec95342601474cf20c76c27323d518d5a172b63e8826a5650c

Observation 5043fa03-bd0b-4f2f-b16f-12390022e06c · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.583093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.860783Z digest=sha256:df9d34a1f4b9eff30f9cde6a87cd952c48d59a4066fe1140318f0192d974f173

Observation bf97f3c0-6857-4539-900f-4411349ac3c0 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.567599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.865424Z digest=sha256:5638bf201782bbf7f229ebccf60fca3b5427e19237f8e999cf33df5586ca03ab

Observation d3b724eb-bd4e-48c8-842f-f9c623ca166d · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.551809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.870053Z digest=sha256:669afdcadf8b0e1dab0f5bc381f72445e54d49671f58e806efc6ca6de0e0380c

Observation 3fa8ad35-522a-4bd8-9db3-f3c15948dab5 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.536526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.874805Z digest=sha256:c38924ea851319fa669b5716937c1a79f7ec98810e15838e874b83b1b845b03a

Observation 5531344e-d595-4cda-9811-f15c68ce1b92 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.521260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.879861Z digest=sha256:131740850b28381b65c8356d9b63e574fc05b45f480e0bfd7c6c798e135ad090

Observation a03ab0a5-b206-40d9-aecb-d661156ea09e · outbound

This paper cites Katok and B.

Exponential growth and decay in the ideal induction equation Katok and B

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.505516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.884551Z digest=sha256:662f84b433491feced4659bc6035c877b2ae8bc3e998353ef427404a89d1a6ba

Observation a3c9cd1c-caec-44b1-8091-9872fb399c07 · outbound

This paper cites Larmor,Possible rotational origin of magnetic fields of Sun and Earth, Electrical Review85(1919), no.

Exponential growth and decay in the ideal induction equation Larmor,Possible rotational origin of magnetic fields of Sun and Earth, Electrical Review85(1919), no

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.489478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.889205Z digest=sha256:2b71fac0e52fd64289a4f962690d1b72c663b3c12cf13d0affed4e78d2002643

Observation 862959af-745a-4ccb-ab1b-125a212dae29 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-08-07T19:52:57.251400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.893977Z digest=sha256:a005f2aa97b5046dedaf00b799763b9ccc54823af1072b9f920ba4c69d53d096

Observation 2e2ebfe9-0ec9-4b0c-857c-a36ce387fe30 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.473321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.898611Z digest=sha256:116c21e96f103586ba9a245c834edaae0229c7dcf41ab4399b1253dc4571418b

Observation 05416ba3-1b1c-4b8a-9f79-2f4c425e45f9 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.441322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.908513Z digest=sha256:dbf5532fa52a5e43b7a8cc54cb572d74d0e2eece86b61809c23bc33964b4df73

Observation ee993a09-1506-4e6e-9e8c-ffb195a71a1a · outbound

This paper cites Navarro-Fern´ andez and C.

Exponential growth and decay in the ideal induction equation Navarro-Fern´ andez and C

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.425471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.913636Z digest=sha256:570a7eae032404de3c753998a4167039631909293e83b95c101f8664a086284e

Observation 1522e58d-5f22-444f-8b12-90bf2ec69d2f · outbound

This paper cites Navarro-Fern´ andez and D.

Exponential growth and decay in the ideal induction equation Navarro-Fern´ andez and D

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-07T19:52:51.918640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:52:51.918640Z digest=sha256:cca889747364285ae7ce4973ba6b65ece293d8861e5454c012e10e4aa4c5217f

Observation 6ebdf3c5-3563-4795-be80-7d279ad3ce01 · outbound

This paper cites Navarro-Fern´ andez and D.

Exponential growth and decay in the ideal induction equation Navarro-Fern´ andez and D

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.408373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.923641Z digest=sha256:89209ca8fae1898eccc1abb21ec85c7521e2c861e13f6423943a94d6270e126b

Observation 023a4aa1-9740-40ed-a8c2-ab8621c18b24 · outbound

This paper cites An autonomous Lipschitz fast dynamo on the three-torus.

Exponential growth and decay in the ideal induction equation An autonomous Lipschitz fast dynamo on the three-torus

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:52:52.606261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.928418Z digest=sha256:400dfc18c1da1986892202b1d9b39a6e6c88ff809b094300a748582f98e8d636

Observation c617cbbe-77fc-4d3b-b8b4-e16f023d50f2 · outbound

This paper cites A subsequentially fast dynamo on $\mathbb{T}^3$.

Exponential growth and decay in the ideal induction equation A subsequentially fast dynamo on $\mathbb{T}^3$

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T19:52:51.934728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:52:51.934728Z digest=sha256:d7f7ba54b571bc980d09a96101d0fa7c5c6b51e5e498e64d572e44944751deca

Observation 29d817b6-c33c-4953-94bc-692f91bda178 · outbound

This paper cites Sorella and D.

Exponential growth and decay in the ideal induction equation Sorella and D

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T19:52:51.940261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:52:51.940261Z digest=sha256:506f9a208a1e3e9a74b519f3c57de1d74cf9e841977e2a146112c5e896f1a4d1

Observation ccb1fc36-fb87-4190-9bf2-360660faeba1 · outbound

This paper cites Teschl,Ordinary differential equations and dynamical systems, Graduate Studies in Mathematics, vol.

Exponential growth and decay in the ideal induction equation Teschl,Ordinary differential equations and dynamical systems, Graduate Studies in Mathematics, vol

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.390714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.945362Z digest=sha256:1a914fba936ec01e2d1ec7580fdf9a8336662cbd4c70b179f935d38bc1b4c96b

Observation e3004a72-2f5d-49cb-a52d-8ed63f45a0fa · outbound

This paper cites Villringer,On spectral instability and kinematic dynamo action in three-dimensional incompressible flows, Ph.D.

Exponential growth and decay in the ideal induction equation Villringer,On spectral instability and kinematic dynamo action in three-dimensional incompressible flows, Ph.D

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.374661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.949985Z digest=sha256:fbc69b5258ef78352a26002818099f26682a994d9dcf29dc29860a189ca5182e

Observation f2987b6e-4dd7-49ec-8be4-416c7769daa3 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.357374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.955212Z digest=sha256:17af576039b092b52309d440e6d6fca17c020650e1674fc8bed5949bda85a2ed

Observation f831e2c8-2f99-4796-8230-9c0fce7ca822 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.340936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.960209Z digest=sha256:0bd0f672b0eb7a93f06866b5ba6533c328af4b22cd9a19cb9e5f0c1ff264dbad

Observation f8344a03-6ec6-472c-9210-1a5adaa0dd12 · outbound

This paper cites an unresolved cited work.

Exponential growth and decay in the ideal induction equation Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:52:57.323798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.965284Z digest=sha256:d4631ae40f40b3b03fe776a321d118d300b849c1e41b785daad6b50dc89c7fad

Observation 6dfc8d1d-b740-4431-b3ec-ad3ba60c3eef · outbound

This paper cites MR1262126.

Exponential growth and decay in the ideal induction equation MR1262126

Reference 1994

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:52:57.457361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:52:51.903591Z digest=sha256:5f46759f9e5ed521a373257648c079050284c291c69789149563de05650de7cd

Pith citing papers

No inbound Pith citation observations are available.