Paper Citation Record · LEDGER

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling

As of 12 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2506.16208.

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

pith.paper-citation-record.v1
2506.16208 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:56:19.394218Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:53:09.494424Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T23:53:10.434164Z

Reference resolution

39 of 39 outbound references displayed

verified exact2
verified fuzzy22
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e7b558e6-ac28-4ef7-a578-892754bbe96d · outbound

This paper cites Communication-efficient learning of deep networks from decentralized data,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Communication-efficient learning of deep networks from decentralized data,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:20.106087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a9b19b09-e03e-4091-b5a8-726cc8aa0719 · outbound

This paper cites Federated learning over wireless fading channels,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Federated learning over wireless fading channels,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:20.090181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 596ffc3f-6962-4c6a-bdb0-fe1d21937ed0 · outbound

This paper cites Blind feder- ated learning via over-the-air q-QAM,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Blind feder- ated learning via over-the-air q-QAM,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:20.073171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aa1a554e-e5b2-4d42-93a0-cf43fcbfccce · outbound

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

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Harnessing interference for analog function computation in wireless sensor networks,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.181679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5317c95-ebe6-4b07-b677-4e6df94e9400 · outbound

This paper cites Over-the-air computation for IoT networks: Computing multiple functions with antenna arrays,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Over-the-air computation for IoT networks: Computing multiple functions with antenna arrays,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.188313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 172b2cf3-e5f4-46e6-b3cd-ab701be13c88 · outbound

This paper cites Wireless for machine learning: A survey,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Wireless for machine learning: A survey,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.194241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 187b750f-aae5-41ee-9066-dc348238cd0b · outbound

This paper cites A survey on over-the-air computation,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling A survey on over-the-air computation,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.202887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb91d036-1a5b-4587-9c51-63e3cdc2f752 · outbound

This paper cites Waveforms for computing over the air,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Waveforms for computing over the air,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.208704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50e16a77-3580-4e2c-93aa-ae61b390ddcb · outbound

This paper cites On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:56:19.468495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e9a1fb1b-8eaf-4f3d-b642-cea6aa04b858 · outbound

This paper cites ChannelComp: A general method for computation by communications,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling ChannelComp: A general method for computation by communications,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.222037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a21a23d9-849f-460e-9875-83eee5a4cb03 · outbound

This paper cites an unresolved cited work.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.228606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce560b2a-12e8-4ce9-b2c6-e8b20b02f5ae · outbound

This paper cites an unresolved cited work.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:56:19.995266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d05aa807-5038-4f89-9232-1280fda71770 · outbound

This paper cites Quantization of deep neural networks for accurate edge computing,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Quantization of deep neural networks for accurate edge computing,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.979441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4b32acc9-6249-49d8-98e3-78aa944ec4e3 · outbound

This paper cites One-bit over-the-air aggregation for communication-efficient federated edge learning: Design and convergence analysis,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling One-bit over-the-air aggregation for communication-efficient federated edge learning: Design and convergence analysis,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.244965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ba0fc98-9879-4704-8858-8a306d0254e2 · outbound

This paper cites Distributed learning over a wireless network with non- coherent majority vote computation,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Distributed learning over a wireless network with non- coherent majority vote computation,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.250338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3344ee03-20e8-4aa1-8f01-eda37ea9ef92 · outbound

This paper cites Broadband digital over-the-air computation for wireless federated edge learning,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Broadband digital over-the-air computation for wireless federated edge learning,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.939471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3d49b0c2-5958-44d8-8a8f-33a473293025 · outbound

This paper cites Over-the-air majority vote computation with modulation on conjugate-reciprocal zeros,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Over-the-air majority vote computation with modulation on conjugate-reciprocal zeros,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.920325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5e94d5c6-4d57-442a-b14f-a3460b59850b · outbound

This paper cites Type based estimation over multiaccess channels,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Type based estimation over multiaccess channels,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.901340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e43b3b37-6729-47d9-903d-b8770df4f8e9 · outbound

This paper cites Over-the-air computation over balanced numer- als,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Over-the-air computation over balanced numer- als,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.271799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf58fac5-065f-45e2-9a22-b440dcd0add5 · outbound

This paper cites Radix-partition-based over-the-air aggregation and low-complexity state estimation for IoT systems over wireless fading channels,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Radix-partition-based over-the-air aggregation and low-complexity state estimation for IoT systems over wireless fading channels,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.873639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 86e61070-6e4c-4f36-a8bc-96dc4c11ba4c · outbound

This paper cites Massive digital over-the-air computation for communication-efficient federated edge learning,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Massive digital over-the-air computation for communication-efficient federated edge learning,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.857069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 373d2c3b-bf25-464a-bbe0-d031b4dd3907 · outbound

This paper cites SumComp coding: Digital over-the-air computation via the ring of integers,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling SumComp coding: Digital over-the-air computation via the ring of integers,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.840748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2a2dbf29-80aa-4ac8-9197-0a9c504e4216 · outbound

This paper cites A novel channel coding scheme for digital multiple access computing,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling A novel channel coding scheme for digital multiple access computing,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.300212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8df60db3-d39f-4228-8b7d-d3d3eea838a6 · outbound

This paper cites Remac: Digital multiple access computing by repeated transmis- sion,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Remac: Digital multiple access computing by repeated transmis- sion,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.815332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 15b8955e-b8f5-4d16-b259-9e1572c2d76d · outbound

This paper cites Multi-Task Over-the-Air Federated Learning in Cell-Free Massive MIMO Systems.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Multi-Task Over-the-Air Federated Learning in Cell-Free Massive MIMO Systems

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:56:19.442917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8e99ac1b-a878-4a76-a118-8b06893b776a · outbound

This paper cites Computing functions over-the-air using digital modulations,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Computing functions over-the-air using digital modulations,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.318024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7895e5e-53f7-41f9-b00b-87ef2a26444e · outbound

This paper cites Distributed learning over a wireless network with FSK-based majority vote,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Distributed learning over a wireless network with FSK-based majority vote,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.787898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bfc276da-1251-4df0-b018-2e5d7b26bf60 · outbound

This paper cites Blind asynchronous over-the-air federated edge learning,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Blind asynchronous over-the-air federated edge learning,

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.330449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c3e0945-f5a1-45ae-adb6-52bdcb6cdb56 · outbound

This paper cites Timely and painless breakups: Off-the-grid blind message recovery and users’ demixing,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Timely and painless breakups: Off-the-grid blind message recovery and users’ demixing,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:19.336632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58705cfb-1387-4422-9b34-7fec4d035568 · outbound

This paper cites Optimal receive filter design for misaligned over-the-air computation,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Optimal receive filter design for misaligned over-the-air computation,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.748564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 89ecdaa1-d7b6-4761-96ef-2e730aa9e1a4 · outbound

This paper cites Waveform design for over- the-air computing under sampling error,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Waveform design for over- the-air computing under sampling error,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.731631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c05b8950-09ce-44cd-a8b3-3692c068fdbf · outbound

This paper cites Accurate and efficient 2-bit quantized neural networks,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Accurate and efficient 2-bit quantized neural networks,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.714484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1edf11cd-f0e0-4404-93e4-30850b2854e3 · outbound

This paper cites Deep sets,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Deep sets,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.696383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 10bbf1d3-f969-44db-9a13-e95372993f0f · outbound

This paper cites Over-the-air computation based on balanced number systems for federated edge learning,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Over-the-air computation based on balanced number systems for federated edge learning,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.679318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a9ec0d5d-bc9e-40b5-a1b5-ef324289d885 · outbound

This paper cites Codes over Gaussian integers,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Codes over Gaussian integers,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.661388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f990486e-8bcb-494c-87f1-7690d222ca76 · outbound

This paper cites On optimal shaping of multidimensional constellations,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling On optimal shaping of multidimensional constellations,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.644444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 55104919-cc25-4edc-bbcd-5f1e86a4427f · outbound

This paper cites Optimal mappings for joint source channel coding,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Optimal mappings for joint source channel coding,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.627719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e8064dee-7f6f-4a82-a5d7-ead9e6eb8f57 · outbound

This paper cites Mitzenmacher and E.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Mitzenmacher and E

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.610738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 29c8e117-e267-4394-afda-773e131f7c6b · outbound

This paper cites Generalized hockey stick identities and N-dimensional blockwalking,.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling Generalized hockey stick identities and N-dimensional blockwalking,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:19.594729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 5187c110-dcb2-4638-8801-25237ad298de · inbound

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design cites this paper.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:53:10.514458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.