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Paper Citation Record · LEDGER

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1909.00329.

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

pith.paper-citation-record.v1
1909.00329 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T06:05:40.642702Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

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

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy19
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d569a883-c749-4ca5-ab9d-1ee9529e0886 · outbound

This paper cites Data mining with big data,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Data mining with big data,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:41.007971Z

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=2026-08-14T06:05:40.542616Z digest=sha256:537cf8aa13a00de53ebc46a81999beadc9d7f7ee9cf6ea7d190ac049605c5198

Observation 3dbc6e98-1a3a-40ab-a4a1-95a082f02cbe · outbound

This paper cites Inc, Data Never Sleeps 6.0 , 2018.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Inc, Data Never Sleeps 6.0 , 2018

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.995330Z

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=2026-08-14T06:05:40.547304Z digest=sha256:75fd8bdc4d6f45f390be6fcdd6c808ee51d1c18e62a58d2d2a98179d0501ae3a

Observation 6e96a3a8-dda9-4f93-b6c7-eeba31112e38 · outbound

This paper cites Approximate complexity and functional representation,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Approximate complexity and functional representation,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.981311Z

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=2026-08-14T06:05:40.551303Z digest=sha256:30d89339400cdcce08f8a4e144d77bdbd69c498b359de0f2ec2f6557e83257ab

Observation 1d701c56-3992-4d16-b677-0810b4fa0c11 · outbound

This paper cites Robust analog function computation via wireless multiple-access channels,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Robust analog function computation via wireless multiple-access channels,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.961801Z

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=2026-08-14T06:05:40.555108Z digest=sha256:40ecc3c9b9bbb6976daf608a8ac31e37a825c8d8f843805ea2971986bdbe0900

Observation 64334271-10ad-4a7a-8f3f-79d53fc2f2be · outbound

This paper cites Harnessing interference for analog function computation in wireless sensor networks,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Harnessing interference for analog function computation in wireless sensor networks,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.948802Z

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=2026-08-14T06:05:40.559059Z digest=sha256:a79b5c4b2eda965e0e47e730016ee387acc29e5daff4c87e124ac4dc49f8aea8

Observation dc122b06-733a-461a-b9bc-6bfcf8453d44 · outbound

This paper cites Exploiting the superposition property of wireless communication for average consensus problems in multi-agent systems,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Exploiting the superposition property of wireless communication for average consensus problems in multi-agent systems,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.935115Z

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=2026-08-14T06:05:40.562740Z digest=sha256:eeac01709e7351e171c18b5055ec7faf981265281931079bce4edf51c2042e27

Observation 52bd1a14-ad59-4e65-a00d-7e75a8d37b52 · outbound

This paper cites Towards an Intelligent Edge: Wireless Communication Meets Machine Learning.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Towards an Intelligent Edge: Wireless Communication Meets Machine Learning

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T06:05:40.567279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T06:05:40.567279Z digest=sha256:df47db05b0f41c0aea19b726c78cb77ec0982fe254a011b8d6e317e302eafdbe

Observation fc151d76-e494-4b79-86a2-371dc72f91da · outbound

This paper cites Machine Learning at the Wireless Edge: Distributed Stochastic Gradient Descent Over-the-Air.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Machine Learning at the Wireless Edge: Distributed Stochastic Gradient Descent Over-the-Air

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T06:05:40.571225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T06:05:40.571225Z digest=sha256:9161f60a7bcbe50b13788aadf721922a49246e38385fcccc504848e4c0a4cad8

Observation e6d14a84-cc49-4a17-a394-1301d5ba9009 · outbound

This paper cites Wireless Federated Distillation for Distributed Edge Learning with Heterogeneous Data.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Wireless Federated Distillation for Distributed Edge Learning with Heterogeneous Data

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T06:05:40.575172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T06:05:40.575172Z digest=sha256:0d790420809527052974cab631b5f542ccb3134cfdb7ef5d11cbb3a2d2fc0c62

Observation 2ea33c1e-4d53-426e-a53f-e0e4b8623e99 · outbound

This paper cites Nomographic gossiping for f-consensus,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Nomographic gossiping for f-consensus,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.922105Z

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=2026-08-14T06:05:40.580099Z digest=sha256:923d186074c4fffdf458a5850219464ab41a4945e83297631102d967182e343d

Observation de0117fb-4f82-47ca-9e65-8ca7356c8f74 · outbound

This paper cites Over-the-air Function Computation in Sensor Networks.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Over-the-air Function Computation in Sensor Networks

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T06:05:40.584174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T06:05:40.584174Z digest=sha256:d4a475a84d58ae18a8e2728cda62b04a155e5e21c7d5b2dd989afe1652f42dd5

Observation 5be15b1b-6352-425d-a32c-54b6a7dc7a12 · outbound

This paper cites MIMO over-the-air computation for high-mobility multimodal sensing,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws MIMO over-the-air computation for high-mobility multimodal sensing,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.909212Z

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=2026-08-14T06:05:40.588424Z digest=sha256:2cac8cb8e567399d0b9acb66a0e32ab33ba8d613b0dd20ff8a118b7ddb70a54f

Observation 7c8b06a3-ae29-48e0-86a6-7b626632fd63 · outbound

This paper cites Wirelessly powered data aggregation for IoT via over-the-air function computation: Beamforming and power control,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Wirelessly powered data aggregation for IoT via over-the-air function computation: Beamforming and power control,

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T06:05:40.593132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T06:05:40.593132Z digest=sha256:617cd9d83e92e22483f1035d917841b6749522aed3521ebc1f5a6abcae95b1f4

Observation 84ebc25c-4353-4c21-853f-b4a69914ee3e · outbound

This paper cites On the channel estimation effort for analog computation over wireless multiple-access channels,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws On the channel estimation effort for analog computation over wireless multiple-access channels,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.886057Z

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=2026-08-14T06:05:40.597013Z digest=sha256:9e579aabb01eb72e9fc2a1668d19829ae66906c24838ffb484e966a9b15c7627

Observation 7e18d1af-0710-414e-8476-4d8c728bc3a3 · outbound

This paper cites The CEO problem,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws The CEO problem,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.874436Z

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=2026-08-14T06:05:40.600926Z digest=sha256:3c298cc5e402761f84570875e650d7671072c776ef5cc869d2c1534fcaa10b73

Observation aee4c0b1-bd75-490f-ad32-dc1dd5bbc8eb · outbound

This paper cites Distortion outage minimization and diversity order analysis for coherent multiaccess,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Distortion outage minimization and diversity order analysis for coherent multiaccess,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.862235Z

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=2026-08-14T06:05:40.604700Z digest=sha256:c190cdff0ef508b3c2d76e048370df401bb0723e3fbc681043eea37ba17e2f06

Observation a9509819-2625-43ba-bfe5-c5a094e6bc18 · outbound

This paper cites Linear coherent decentralized estimation,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Linear coherent decentralized estimation,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.850289Z

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=2026-08-14T06:05:40.608167Z digest=sha256:435e27bca36820433aedcfc4bef629d13c80a083f7119a08ac82ad8bebd686fb

Observation 9cb41a24-5818-4802-a58c-39f910ba6a64 · outbound

This paper cites Optimal power allocation for parameter tracking in a distributed amplify-and- forward sensor network,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Optimal power allocation for parameter tracking in a distributed amplify-and- forward sensor network,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.838175Z

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=2026-08-14T06:05:40.611698Z digest=sha256:5ac7a6d770f38bad235dc2644e9c92a1b9e6dab152da2bd3726780ebb2a205db

Observation 79f4fe58-07c8-41f5-a582-9b793bf3cdf8 · outbound

This paper cites Power allocation for outage minimization in state estimation over fading channels,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Power allocation for outage minimization in state estimation over fading channels,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.825241Z

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=2026-08-14T06:05:40.615678Z digest=sha256:75b24cd1ae9c7cab2bf84ec859386ab22d582f5644bd6c215d6772d036d29005

Observation a8c61d70-62d6-4511-bde4-2775b3ad0c17 · outbound

This paper cites Wireless networked control systems with coding-free data transmission for industrial IoT,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Wireless networked control systems with coding-free data transmission for industrial IoT,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.812653Z

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=2026-08-14T06:05:40.619135Z digest=sha256:fe4f41109c6462849635a60f614eed1254c74138cd88ba16435ea2e6a022d1cb

Observation 2b195681-8727-4451-b8a0-48114c8fe591 · outbound

This paper cites Uncoded transmission is exactly optimal for a simple Gaussian “Sensor.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Uncoded transmission is exactly optimal for a simple Gaussian “Sensor

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.797929Z

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=2026-08-14T06:05:40.623121Z digest=sha256:256f238210ffc304d460508cdd7eb2c5b918b432e4c68b8251bb13fd0df29dcb

Observation df9b2638-0b60-4060-b75f-f0e4e10c6ffa · outbound

This paper cites Optimized Power Control for Over-the-Air Computation in Fading Channels.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Optimized Power Control for Over-the-Air Computation in Fading Channels

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-14T06:05:40.682686Z

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=2026-08-14T06:05:40.627009Z digest=sha256:8a476c7785777cd2f6476a1c7a2707e7271260afefde5aabdfad6ecc26331785

Observation ccf9fccd-320f-4502-a0d2-12b5c2bd5451 · outbound

This paper cites Sum capacity of the vector gaussian broadcast channel and uplink-downlink duality,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Sum capacity of the vector gaussian broadcast channel and uplink-downlink duality,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.784323Z

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=2026-08-14T06:05:40.630823Z digest=sha256:1bf9938f45e931216204b3590e903bf3d512dfcf4aecb8dc71c1d83d3575fe5a

Observation 70f4e5ab-71be-40aa-90a3-a6d6d2dc83f8 · outbound

This paper cites Guaranteed performance region in fading orthogonal space-time coded broadcast channels,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Guaranteed performance region in fading orthogonal space-time coded broadcast channels,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.772176Z

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=2026-08-14T06:05:40.635046Z digest=sha256:0122f6d32c45f3c7bf703af79517c8828422218015ccf5a6f63560dadeeda299

Observation 01cde294-79a0-4bb4-b324-6d8f71fe6192 · outbound

This paper cites Inference from randomized transmissions by many backscatter sensors,.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Inference from randomized transmissions by many backscatter sensors,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:05:40.758526Z

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=2026-08-14T06:05:40.638896Z digest=sha256:ec1877a052d0eac126d53689546a096705f9dc26ffac7d663a6df68fa5a776d6

Observation 6019248f-864c-4d46-aa16-1a8c7fb10928 · outbound

This paper cites an unresolved cited work.

Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:05:40.745099Z

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=2026-08-14T06:05:40.642702Z digest=sha256:bb2bdee717588842c9aa85ed4c6dd52f0bfe5c7de85e33a7260a0f004c70cfb0

Pith citing papers

No inbound Pith citation observations are available.