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Paper Citation Record · LEDGER

Exponential growth and decay in the ideal induction equation

As of 11 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 2026-08-11T06:34:44.6726+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.781889Z digest=sha256:8aba1100e36f3d9c6ab0c2bf1bedb5eda25854a36e10c56f08f1669f02aa07fc

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.786754Z digest=sha256:936bfd328513489bedd6268ad66233fbff02a8c173dc8d946881dd9ba4bceb3e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.791442Z digest=sha256:e852ba264f8e13560444b4e5a152b4a39b56d6414ac4227ea6ead47e509f9d90

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=sha256:67992ef10b91e908e8bb726392f6494cdbd06907a3136aa1eec4d7f4217d94a9

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.801419Z digest=sha256:55b309910dc31a67907a1b019b09d47373d9f9f0af85a95b8ec54be63e45c9a7

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.806631Z digest=sha256:726e1ae656422d702813eb5cfaf655b4da1c69504ddf1d5e7570870521f7779f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.811333Z digest=sha256:0b30a025c68c9d480a72e15e9f4f17bd106e063d01133cad753f1a4f418c8215

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.816013Z digest=sha256:1263cc5648cc2bb3f253a88b0ed66393ae8f1ffd7b6716b62d2d67ee845335b5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.820682Z digest=sha256:9d565b1bc9e628d30c3fd9bfb00ea1fbcdc46010056697e8a0ea89e803c2639c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.825460Z digest=sha256:3cdb0883a6a702ccb9893ad0ee755a584a9d6397a8f1e19ee0d6bde657304b68

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=sha256:18724368e561ada793633eb4ea5dbdf0c8920fe56e99ffe200b983b812037314

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=sha256:63f5fd10ce99f454cc2145ba2c4ae96bade614791fa8583e9a5215654dbf97c4

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:ef724e7393d0d1c43f34e9c4f5526a35687e3abca14b40da766d305a07219b5e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.846325Z digest=sha256:af2fd6283864c7ae2f03125b318fd3ad984f1e55eacb4fcc77e86006ed6cb77d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.851113Z digest=sha256:2aaf0adeb6c60318d5f02655b9212befc17e68cb5c2cec932f15e6184e139a06

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.856212Z digest=sha256:d3bf0f437c8f32d788379b00dc6138f2d57b27d8056c120d7fd4c5e349a2aa49

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.860783Z digest=sha256:499192182db7cd389ae22ddac9f06cae2ddd6724f84afdf99b9d1ac34c7cc5bc

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.865424Z digest=sha256:ef8c9b88127b22031707b5a5c5a8ffdfb1e1aa4d8d2f4385b12de3df806b4bdf

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.870053Z digest=sha256:dc149ca7e6c9f4b5a86a592befbc7a2c28e50a95f29b275019e5be672b1ba092

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.874805Z digest=sha256:56262b40f9e21e65c1451aa07c092d76ad22dc8129528e8ae619308f793cee92

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.879861Z digest=sha256:33aa401d8c8ed26c770bf5d9a7229d868e9e1ce9d6355dd3baec879e50916e51

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 2026-08-11T06:34:44.6726+00:00.

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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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.889205Z digest=sha256:52532ed3dd7baf13ea23655cfcc18e92e0eea790286cef0c4367cbb35237d3cc

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.893977Z digest=sha256:d3b8b4ccb7ba39941bf722ff09e5c15a691f63869c1bdd6fbf36d7658405e906

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.898611Z digest=sha256:ddfb11aceccb813816b8d7ee5f5f6b98f608b7312b61e8878434783e5b3e931a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.908513Z digest=sha256:f03ef784fd51dff140da2b00e36dcc64912d951b03ca101b7fb03cda7bea88e0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.913636Z digest=sha256:d05a6658987c04c901e95d8d472d28a4806b12b5d1c8a7cf71038b3d7336997d

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=sha256:817b1079ba825043d7a91ea50949a121af0876d5bd0adeaed5a843fdda12225e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.923641Z digest=sha256:705a44a7b6ad753b369ad4213c4d7182569356b031af4abb41df8a753630e849

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.928418Z digest=sha256:32ed044f872bdd1237eca19d2157dcf9a79c36c4e7f676be9b3128d15b2804b7

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:e86d7a26ee73e1af5a8a1f5b4095f89079236560f6a45878cbb1cabd54ff81e0

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=sha256:6044477f07c6b639b4164f995f6a7d7d8a4e1e50f170c85b40e28481104fd930

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.945362Z digest=sha256:b764b4a5139e027a6966c03843cd60c6cbde70fda9535f838ab2a6a9fab55cce

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.949985Z digest=sha256:ccbd2ebafc3f020ca9034ccf3f2291a572ff2cf17950af649090e32e85eee3cb

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.955212Z digest=sha256:84ec19704aba1c3a732b8cff6b85715e8a1a85869e24277aa1f63e4c92bf4559

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.960209Z digest=sha256:91ada6cff4c59209e8131536be1d71d81dd3d6590f7303f77e2ebe437666cf77

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.965284Z digest=sha256:cd324f0c1221193599b29c055e38918579279be4f72eb0b7ed084b9cab2b8219

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T19:52:51.903591Z digest=sha256:9ca7b905844a59493407f3175665060a19d3ec77383b1a91bde62ed821b6c5e0

Pith citing papers

No inbound Pith citation observations are available.