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Paper Citation Record · LEDGER

Topological Neural Networks over the Air

As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2502.10070.

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

pith.paper-citation-record.v1
2502.10070 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:35:58.196426Z

measured 40 of 40 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:35:58.085402Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T19:35:58.304781Z

Reference resolution

39 of 39 outbound references displayed

  • verified exact5
  • verified fuzzy23
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 53555cd6-1a11-4db9-a4f1-94008d85332c · outbound

This paper cites Telecommunications of the Future.

Topological Neural Networks over the Air Telecommunications of the Future

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 2026-08-08T06:32:00.761636+00:00.

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Observation 429763f6-a650-4671-832f-823a77a78316 · outbound

This paper cites Topological Neural Networks over the Air.

Topological Neural Networks over the Air Topological Neural Networks over the Air

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T19:35:58.308295Z

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 777b8bc9-653b-4c7d-88b4-983d1a1650ed · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.568538Z

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 5af34af2-2402-42af-a321-d67512cfe541 · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.560381Z

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=2026-08-07T19:35:58.092162Z digest=sha256:c175237653b422265f4ed5813ee4b466d651278bd7feb192823acb7aa700331d

Observation 44282d28-004c-4216-949e-554838b8cb4a · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.551453Z

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=2026-08-07T19:35:58.095390Z digest=sha256:bda8953e327040a9557d34fae359abf03f2eac6b66ece7c6b0a102b47ff0a491

Observation 0a571656-8e7f-49da-8eb6-f473f1c14f59 · outbound

This paper cites Condition 2 implies that the indexing set PX has a poset structure, given by τ ≤ σ iff Xτ ⊆ Xσ, and we say that τ bounds σ.

Topological Neural Networks over the Air Condition 2 implies that the indexing set PX has a poset structure, given by τ ≤ σ iff Xτ ⊆ Xσ, and we say that τ bounds σ

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.542826Z

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 69a0a0c3-2b2d-44b1-b2e4-d243d1ef405e · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.533658Z

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 1896c856-140e-434b-8ecc-eddcfca69499 · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 8

Resolution
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raw_fallback, observed 2026-08-07T19:35:58.524694Z

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=2026-08-07T19:35:58.105376Z digest=sha256:b7d26a5ecd6c8f21a1d44b30f77af9776bd99f256b016f36792f9268eb74c322

Observation d1abf645-6740-46ab-8a15-ee016faa3c19 · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.515244Z

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 7657c28d-d4ec-4372-a708-52c37d58d305 · outbound

This paper cites The emerging field of signal processing on graphs: Extending high-dimensional data anal- ysis to networks and other irregular domains,.

Topological Neural Networks over the Air The emerging field of signal processing on graphs: Extending high-dimensional data anal- ysis to networks and other irregular domains,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.506428Z

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 e74abfcd-f7af-4a52-91b9-67ff6a8bcd37 · outbound

This paper cites Graph signal processing: Overview, challenges, and applications,.

Topological Neural Networks over the Air Graph signal processing: Overview, challenges, and applications,

Reference 11

Resolution
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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 02db076d-3d30-4312-a973-91e3e1e5cd03 · outbound

This paper cites From networks to optimal higher-order models of complex systems,.

Topological Neural Networks over the Air From networks to optimal higher-order models of complex systems,

Reference 12

Resolution
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raw_fallback, observed 2026-08-07T19:35:58.488384Z

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=2026-08-07T19:35:58.118042Z digest=sha256:1b5e5db6d111f956dcc215c172ab9f02c4371e32a3f6c2b6641e526600d8f724

Observation b58823ad-9bc4-4137-bab7-2d810856b77a · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.479187Z

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=2026-08-07T19:35:58.121247Z digest=sha256:9380cd7c013b76fcf3e14c7b775b7a8d6c5b72a00ea1ae83651da941e6c4f3d3

Observation 7692874b-51c4-4b8b-bb52-02128de10a61 · outbound

This paper cites Topological signal processing over simplicial complexes,.

Topological Neural Networks over the Air Topological signal processing over simplicial complexes,

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T19:35:58.124299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2b4f7db4-791e-4951-94ca-a09a32404072 · outbound

This paper cites Signal processing on higher-order networks: Livin’on the edge... and beyond,.

Topological Neural Networks over the Air Signal processing on higher-order networks: Livin’on the edge... and beyond,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.465355Z

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 23874cc8-9be5-4a9e-9251-bef08b768417 · outbound

This paper cites Simplicial convolutional filters,.

Topological Neural Networks over the Air Simplicial convolutional filters,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.456861Z

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 152278a6-7385-4418-8961-556b736bb26a · outbound

This paper cites Weisfeiler and Lehman go topological: Message passing simplicial networks,.

Topological Neural Networks over the Air Weisfeiler and Lehman go topological: Message passing simplicial networks,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.448421Z

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=2026-08-07T19:35:58.132688Z digest=sha256:7e0d39b294599c29564d14302e4ef9daeee5ba3dd55698f4831fc08afd0ae988

Observation 0b8c0754-cdca-411a-9661-27d907e5a7f8 · outbound

This paper cites Simplicial neural networks,.

Topological Neural Networks over the Air Simplicial neural networks,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.440558Z

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 ac642c3f-c66f-4b9f-a3df-f8fc79ddb6d9 · outbound

This paper cites HodgeNet: Graph Neural Networks for Edge Data.

Topological Neural Networks over the Air HodgeNet: Graph Neural Networks for Edge Data

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.295779Z

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=2026-08-07T19:35:58.137566Z digest=sha256:cda0792acc6d61dcdb48cf5d8fa72d6254056eeec652c0d7871d4e394eb07d99

Observation 21367cd2-d0c2-423a-87d6-02093f8b2ed5 · outbound

This paper cites Simplicial Attention Neural Networks.

Topological Neural Networks over the Air Simplicial Attention Neural Networks

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T19:35:58.140370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:35:58.140370Z digest=sha256:1ce750393eac4ac93d476b479414176028e0858c6b14d07820b7286f7f176445

Observation ee3aa21b-d65c-4883-8c17-a70d9216fd32 · outbound

This paper cites Efficient rep- resentation learning for higher-order data with simplicial com- plexes,.

Topological Neural Networks over the Air Efficient rep- resentation learning for higher-order data with simplicial com- plexes,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.433139Z

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 33d5b083-72f1-4e6e-a32c-b6e25313c832 · outbound

This paper cites Tangent bundle filters and neural networks: from manifolds to cellular sheaves and back,.

Topological Neural Networks over the Air Tangent bundle filters and neural networks: from manifolds to cellular sheaves and back,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.425384Z

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 6d146f4f-efdc-465e-82ab-072935aefac1 · outbound

This paper cites Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back.

Topological Neural Networks over the Air Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.276303Z

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 2d123c84-075b-460d-9999-cfa8a4e77445 · outbound

This paper cites Topological deep learning: Going beyond graph data,.

Topological Neural Networks over the Air Topological deep learning: Going beyond graph data,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.417224Z

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=2026-08-07T19:35:58.151106Z digest=sha256:0c982c7208f1f1e4ad1c2f0e55211c095f3c7e412a285835a1efa3dde74debc9

Observation b119433c-118b-40ed-b5a9-295b12c449a2 · outbound

This paper cites Cell attention networks,.

Topological Neural Networks over the Air Cell attention networks,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.408661Z

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=2026-08-07T19:35:58.154057Z digest=sha256:c8c71335dedeab000ba30d3e7f9225f36d3221da8ab7ec578ae89a9f29dc60d6

Observation ccb9836f-cc33-4363-b51f-68af8549af0b · outbound

This paper cites Fading models,.

Topological Neural Networks over the Air Fading models,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.399777Z

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 f9059f11-9c04-48cf-b57b-0ee3ec03a97a · outbound

This paper cites An overview of the physical insight and the various performance metrics of fading channels in wireless communication systems,.

Topological Neural Networks over the Air An overview of the physical insight and the various performance metrics of fading channels in wireless communication systems,

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.390988Z

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=2026-08-07T19:35:58.159937Z digest=sha256:c66ece89424621193976a95dbe10038a27039de531cb490cf2c47933fe30ae79

Observation df26e456-a9fd-4617-954c-d21b2b5e0486 · outbound

This paper cites Fading types in wireless communications systems,.

Topological Neural Networks over the Air Fading types in wireless communications systems,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.382075Z

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 9e8952f2-d891-4923-9cd2-245bf30d6e45 · outbound

This paper cites Unsupervised representation learning of structured radio communication signals,.

Topological Neural Networks over the Air Unsupervised representation learning of structured radio communication signals,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.373043Z

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 92494cb9-c541-441e-90bf-229c8bc076ea · outbound

This paper cites Detection Algorithms for Communication Systems Using Deep Learning.

Topological Neural Networks over the Air Detection Algorithms for Communication Systems Using Deep Learning

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.264325Z

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=2026-08-07T19:35:58.168819Z digest=sha256:37256c99dd363963105ba24a2b85c3478f40a31c67bb5513aa9e4a34175c1311

Observation 213d5be3-ac99-4efb-888c-403318501acf · outbound

This paper cites Deep learning based communication over the air,.

Topological Neural Networks over the Air Deep learning based communication over the air,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.364217Z

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=2026-08-07T19:35:58.172323Z digest=sha256:ed0fcba582e01c01f9cf4b18cc2cd04ff1f63ad01081eede14a0c9c3a02f776e

Observation c2bca977-6be2-4d17-b3af-544a8fd949f1 · outbound

This paper cites Over-the-air deep learning based radio signal classification,.

Topological Neural Networks over the Air Over-the-air deep learning based radio signal classification,

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.355280Z

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=2026-08-07T19:35:58.175192Z digest=sha256:b13ec53c40026eeb706c528a8fa2a05876a41a7196632aef7918e2ef82ceaf93

Observation 110fc12e-e777-4456-91ef-5b6d0206043c · outbound

This paper cites Deep joint source-channel coding for wireless image trans- mission,.

Topological Neural Networks over the Air Deep joint source-channel coding for wireless image trans- mission,

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.345274Z

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=2026-08-07T19:35:58.178012Z digest=sha256:44941b910fa323fae9af5287319dfe152edb16998f58dcdcf865cf04363a88d1

Observation f38cae7d-439d-4d41-abf0-c71d1f764df4 · outbound

This paper cites AirNet: Neural Network Transmission over the Air.

Topological Neural Networks over the Air AirNet: Neural Network Transmission over the Air

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.251366Z

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=2026-08-07T19:35:58.180854Z digest=sha256:ab0f58caf0cc221494c33ea81afb2276ad2e2f7f460d8b076f73fb680ea6330f

Observation 9091bcff-71e2-4eb6-9a52-06f0f6251ad2 · outbound

This paper cites Graph Neural Networks over the Air for Decentralized Tasks in Wireless Networks.

Topological Neural Networks over the Air Graph Neural Networks over the Air for Decentralized Tasks in Wireless Networks

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.237183Z

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=2026-08-07T19:35:58.184146Z digest=sha256:57d266ac6719ac96f63d8850917699279cbfd3df136084bef9ed223a50ecc066

Observation 4afb34d0-dcea-4b51-acf0-7c49204ae180 · outbound

This paper cites Topological signal representation and processing over cell complexes,.

Topological Neural Networks over the Air Topological signal representation and processing over cell complexes,

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.336198Z

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=2026-08-07T19:35:58.187668Z digest=sha256:e8960e826b6dacdc3932240c354f997626909e1a08fa8905747946691bed2db2

Observation 02d3b825-3800-4379-bbbf-916c3bda270e · outbound

This paper cites Signal Processing on Cell Complexes.

Topological Neural Networks over the Air Signal Processing on Cell Complexes

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-07T19:35:58.190439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:35:58.190439Z digest=sha256:e4022fc26a9a102eeb47400f2f95c70ff9c56a4076fcc4c107a051aed9ed0293

Observation 062b03bf-7d73-40cc-8209-7af62266dbb1 · outbound

This paper cites Stochastic blockmodels: First steps,.

Topological Neural Networks over the Air Stochastic blockmodels: First steps,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.327221Z

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=2026-08-07T19:35:58.193610Z digest=sha256:ed852925bc5003d1fdb884db89530fac75aa022f83d223f743822bd7ba0c9982

Observation c429a6c3-e22c-45d8-a8b6-ef1b0736625e · outbound

This paper cites An algorithm for finding a fundamental set of cycles of a graph,.

Topological Neural Networks over the Air An algorithm for finding a fundamental set of cycles of a graph,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.318179Z

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=2026-08-07T19:35:58.196426Z digest=sha256:1ce3f5f8b3ef8c3b17a1d0e19bd37fa963d5ce1bb3abf1e8b78394829e31d301

Pith citing papers

Observation 429763f6-a650-4671-832f-823a77a78316 · inbound

Topological Neural Networks over the Air cites this paper.

Topological Neural Networks over the Air Topological Neural Networks over the Air

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T19:35:58.308295Z

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=2026-08-07T19:35:58.085402Z digest=sha256:94fea59f86b9830c550620143dc8b1db003cfe7d4f1a25a6b60a7d7dc6a99a1f