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Paper Citation Record · LEDGER

PonderNet: Learning to Ponder

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 34 inbound Pith citation observations for arXiv:2107.05407.

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

pith.paper-citation-record.v1
2107.05407 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 34 of 34 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 34 of 34 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:26:45.075272Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T13:29:51.946645Z

Reference resolution

0 of 0 outbound references displayed

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  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b0a65376-1db3-45be-add0-577f8291968a · inbound

Galactica: A Large Language Model for Science cites this paper.

Galactica: A Large Language Model for Science PonderNet: Learning to Ponder

Reference 143

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verified exact
arxiv_id, observed 2026-05-13T05:53:22.092110Z

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=arxiv_source observed=2026-05-13T05:53:21.810346Z digest=sha256:792080131559efee3ac8f08b60715efc164296ef94cdc5b847ae5a863a2bde84

Observation 873463b9-15c2-4b66-95bc-6faf0e095f12 · inbound

Void in Language Models cites this paper.

Void in Language Models PonderNet: Learning to Ponder

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T15:36:58.718951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:36:58.718951Z digest=sha256:94cad92f6fc4ffd9d008d639d2b5c64be5f9a3b1fcff9c6f0fe7c8541ad5c7b9

Observation 4ef5ec52-c796-4d86-a821-abc1cf535f9e · inbound

Hierarchical Reasoning Model cites this paper.

Hierarchical Reasoning Model PonderNet: Learning to Ponder

Reference 92

Resolution
verified exact
arxiv_id, observed 2026-05-15T04:58:03.580048Z

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=2026-05-15T04:58:03.283911Z digest=sha256:611d6dee05440035566e4a7ec984dfd12ccc7c79330f57d570354cf265353d37

Observation 28faae89-997c-459c-845b-6edb9bfc1cd1 · inbound

Change of Thought: Adaptive Test-Time Computation cites this paper.

Change of Thought: Adaptive Test-Time Computation PonderNet: Learning to Ponder

Reference 14

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no resolver link, observed 2026-08-06T16:28:21.342403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:28:21.342403Z digest=sha256:28652d977b91573c9099cfb82f12629f5207c58863b81a91e5b24936c59ef653

Observation 8907baea-6128-4e85-a2b4-14496ca93a97 · inbound

Entropy-Guided Loop: Achieving Reasoning through Uncertainty-Aware Generation cites this paper.

Entropy-Guided Loop: Achieving Reasoning through Uncertainty-Aware Generation PonderNet: Learning to Ponder

Reference 2023

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unresolved
no resolver link, observed 2026-08-05T15:51:47.015805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T15:51:47.015805Z digest=sha256:9d29a5703043ca02d8b1a055de06ef785b757d6b389fb6dc644792031f1400bc

Observation 68e0663d-52d8-4efc-929e-76cd6a20fd10 · inbound

Scaling Latent Reasoning via Looped Language Models cites this paper.

Scaling Latent Reasoning via Looped Language Models PonderNet: Learning to Ponder

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-05-15T07:43:11.827778Z

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=2026-05-15T07:43:11.620446Z digest=sha256:0b0798e585904f6af97fc5f8cbfbbf90e7edd7a2e0cb75123d74a93d3131548c

Observation 328776b6-ba07-44b7-a147-e75583af4e75 · inbound

Scaling Latent Reasoning via Looped Language Models cites this paper.

Scaling Latent Reasoning via Looped Language Models PonderNet: Learning to Ponder

Reference 32

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no resolver link, observed 2026-08-04T07:31:30.750415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:31:30.750415Z digest=sha256:8a5e4ef3534e891fa477fc67df22165d61b498bad9860546fc66d90e4f8b18cd

Observation 5554fabb-e80d-4a4a-866a-e994eee42072 · inbound

When to Think Fast and Slow? AMOR: Adaptive Entropy Gate for Hybrid Models cites this paper.

When to Think Fast and Slow? AMOR: Adaptive Entropy Gate for Hybrid Models PonderNet: Learning to Ponder

Reference 1

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verified exact
arxiv_id, observed 2026-05-16T11:50:52.806057Z

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=2026-05-16T11:48:50.587732Z digest=sha256:ef56502620feb1e67b66f7625da7993bf3ea924505271f2c94173bae7c15a04c

Observation acae3efc-05c2-4541-a175-4ab47fdcf76f · inbound

Turbo Connection: Reasoning as Information Flow from Higher to Lower Layers cites this paper.

Turbo Connection: Reasoning as Information Flow from Higher to Lower Layers PonderNet: Learning to Ponder

Reference 2021

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unresolved
no resolver link, observed 2026-08-02T22:08:40.003709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T22:08:40.003709Z digest=sha256:847adc6c700605e6becd81998219941ff2cf2d7abe23595cf896b60b462c6fa5

Observation 0f86e9a5-1012-44ae-9e82-819996469472 · inbound

Latency Coding for Efficient and Low-Latency Deep Spiking Neural Networks cites this paper.

Latency Coding for Efficient and Low-Latency Deep Spiking Neural Networks PonderNet: Learning to Ponder

Reference 30

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no resolver link, observed 2026-08-02T17:37:48.807916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T17:37:48.807916Z digest=sha256:a0eee8073f3dfe6b30e924b2d34caa6bbef7be7e3af7074cd41b261fd9333427

Observation 25990763-3324-4904-ad94-e6ef127ac48e · inbound

A Mechanistic Analysis of Looped Reasoning Language Models cites this paper.

A Mechanistic Analysis of Looped Reasoning Language Models PonderNet: Learning to Ponder

Reference 4

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arxiv_id, observed 2026-05-11T09:41:02.964220Z

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=2026-05-10T15:53:19.680424Z digest=sha256:1cbd30754c40d2542e7c556b2033ae04942b53d6a7ece7fb697c289bd490152c

Observation 088e9859-6dbc-4248-845f-9460699a5f47 · inbound

Stability and Generalization in Looped Transformers cites this paper.

Stability and Generalization in Looped Transformers PonderNet: Learning to Ponder

Reference 3

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metadata mismatch
arxiv_id, observed 2026-05-10T12:25:22.713876Z

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=2026-05-10T12:21:16.015362Z digest=sha256:39a436e7e19be3faafa54de7f87a8cc4bbc2f5cfece7ffa50c4f37f5a396c338

Observation 5ce1d9a2-e2d7-4654-b268-acae743591d1 · inbound

Universal Transformers Need Memory: Depth-State Trade-offs in Adaptive Recursive Reasoning cites this paper.

Universal Transformers Need Memory: Depth-State Trade-offs in Adaptive Recursive Reasoning PonderNet: Learning to Ponder

Reference 1

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verified exact
arxiv_id, observed 2026-05-09T22:49:15.475793Z

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=arxiv_source observed=2026-05-09T22:48:07.828512Z digest=sha256:4875833d170ca09f92597f0503668584189ec52fcfca27ebf0970ae401e63733

Observation f7f2d05a-15d5-496e-aa78-32b8c324393e · inbound

Do Not Imitate, Reinforce: Iterative Classification via Belief Refinement cites this paper.

Do Not Imitate, Reinforce: Iterative Classification via Belief Refinement PonderNet: Learning to Ponder

Reference 1

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verified exact
arxiv_id, observed 2026-05-11T14:26:04.362989Z

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=2026-05-09T21:48:15.641442Z digest=sha256:72a3f9ab79353c6a720a4c3799833e4d845b44529ad8f317b9f17a080b6eba70

Observation 33be4c06-488e-4721-867c-cc1efff80454 · inbound

The Thinking Pixel: Recursive Sparse Reasoning in Multimodal Diffusion Latents cites this paper.

The Thinking Pixel: Recursive Sparse Reasoning in Multimodal Diffusion Latents PonderNet: Learning to Ponder

Reference 23

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verified exact
arxiv_id, observed 2026-05-11T23:21:23.336400Z

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=2026-05-07T17:16:00.988125Z digest=sha256:a0fb357528af0d570500955e528f80302c79b2dece87efa98b2a8f9832169934

Observation f05a5ecc-b432-44cd-9c9b-2d87aec7c7fe · inbound

Training-Free Looped Transformers cites this paper.

Training-Free Looped Transformers PonderNet: Learning to Ponder

Reference 8

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verified exact
arxiv_id, observed 2026-05-25T04:36:36.841157Z

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=2026-05-25T04:36:10.278337Z digest=sha256:3ea4230f2d72205e7631be0d369fde7979fbd4b952a264a73a99043aa538b952

Observation baff77aa-e468-4d2f-91cb-67379a675413 · inbound

Structure over Pixels: Learning Variable-Length Visual Programs cites this paper.

Structure over Pixels: Learning Variable-Length Visual Programs PonderNet: Learning to Ponder

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-06-29T18:13:49.003549Z

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=2026-06-29T18:06:01.684713Z digest=sha256:8d117e949368c939767426c252cf5b1acf99ef6f72c1167720929ef63eaf35b9

Observation ae092dc1-3ac1-45e5-83ac-b74b10a1e2a4 · inbound

CosmicFish-HRM: Adaptive Reasoning via Hierarchical Recurrent Mechanisms in Compact Language Models cites this paper.

CosmicFish-HRM: Adaptive Reasoning via Hierarchical Recurrent Mechanisms in Compact Language Models PonderNet: Learning to Ponder

Reference 2

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verified exact
arxiv_id, observed 2026-06-29T14:13:30.440137Z

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=2026-06-29T14:03:33.179735Z digest=sha256:cc305a7bccb13d214427f49769b1af07f681c39b6a37353e655719e55d43822d

Observation 22febac3-1908-4045-8fd9-f0a63a7b7765 · inbound

A Dual-Path Architecture for Scaling Compute and Capacity in LLMs cites this paper.

A Dual-Path Architecture for Scaling Compute and Capacity in LLMs PonderNet: Learning to Ponder

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-06-29T07:43:13.335089Z

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=2026-06-29T07:42:07.969657Z digest=sha256:706557a32b25ccd09712de347a3794cc12fe0545aafcf6e1f25d3b8f081ae70d

Observation 2f4827eb-d725-466c-a3fe-4dac96167201 · inbound

Fixed-Point Reasoners: Stable and Adaptive Deep Looped Transformers cites this paper.

Fixed-Point Reasoners: Stable and Adaptive Deep Looped Transformers PonderNet: Learning to Ponder

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-07-03T21:18:59.675977Z

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=arxiv_source observed=2026-06-27T00:38:47.350106Z digest=sha256:0ce9977e2b431c7393c48d2bbda2bc3d3b71cdb89ef60a0beb12207fbbe95791

Observation 3bd5e717-bd0f-4ca0-a793-25e3dd7c52c6 · inbound

Dense Supervision Is Not Enough: The Readout Blind Spot in Looped Language Models cites this paper.

Dense Supervision Is Not Enough: The Readout Blind Spot in Looped Language Models PonderNet: Learning to Ponder

Reference 1

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verified exact
arxiv_id, observed 2026-07-03T17:08:44.019617Z

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=2026-06-27T04:27:48.590008Z digest=sha256:7ee3505b87552d5e2ad5d32c8bd6c829d0ecb48dc595528483152ae4d3f1fdf3

Observation 6080d74c-c9cf-4753-a7d6-f9069da12229 · inbound

Finding the Time to Think: Learning Planning Budgets in Real-Time RL cites this paper.

Finding the Time to Think: Learning Planning Budgets in Real-Time RL PonderNet: Learning to Ponder

Reference 3

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verified exact
arxiv_id, observed 2026-07-04T13:29:51.947958Z

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=2026-06-26T05:08:19.504454Z digest=sha256:8eceb3f5036b4bd0bdc89960ff57d5b9572968058cfa9d045b8767feacd61670

Observation 2d8fcb70-f5d9-4724-a4cf-4aa4da19b283 · inbound

Finding the Time to Think: Learning Planning Budgets in Real-Time RL cites this paper.

Finding the Time to Think: Learning Planning Budgets in Real-Time RL PonderNet: Learning to Ponder

Reference 3

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verified exact
arxiv_id, observed 2026-06-30T09:34:34.911068Z

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=2026-06-30T09:26:31.944405Z digest=sha256:bb52ab158e5d5d3fa4d7efbbe328d55266a5d5abf0d91d31191241bc0e894c0a

Observation f7fb284b-b29f-48f0-8c16-b0d431e80993 · inbound

Stabilizing Extrapolation in Looped Transformers via Learned Stochastic Stopping cites this paper.

Stabilizing Extrapolation in Looped Transformers via Learned Stochastic Stopping PonderNet: Learning to Ponder

Reference 17

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verified exact
arxiv_id, observed 2026-06-30T07:34:21.643236Z

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=2026-06-30T07:29:23.786653Z digest=sha256:29e6faa9158b0f7f860674ac582b062b8abaee34c9e8579f58d9c1a9cc958d6a

Observation d7e32033-9e93-4cb3-a156-1c7dc98077ef · inbound

Review Residuals: Update-Conditioned Residual Gating for Transformers cites this paper.

Review Residuals: Update-Conditioned Residual Gating for Transformers PonderNet: Learning to Ponder

Reference 13

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verified exact
arxiv_id, observed 2026-07-01T06:45:29.839720Z

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=2026-07-01T06:38:06.546686Z digest=sha256:27a20b3efcd22e44a3be747e9578b70fdd1c32bbbf26ef79ab6bd1a07b1b8355

Observation 61dbaa89-ca62-40c4-9e8f-bea2c5954bb6 · inbound

Listen, Think, Transcribe: Continuous Latent Test-Time Scaling for ASR cites this paper.

Listen, Think, Transcribe: Continuous Latent Test-Time Scaling for ASR PonderNet: Learning to Ponder

Reference 17

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no resolver link, observed 2026-07-11T09:35:44.381743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T09:35:44.381743Z digest=sha256:dcb29f2050baaaacfa3d254ce99eac3143d563be04b26ed2e393731ddc18a846

Observation 510c67af-104e-4bfc-9844-452230aa1760 · inbound

Adaptive Compute in Latent World Models: When Depth Helps, Hurts, or Doesn't Matter cites this paper.

Adaptive Compute in Latent World Models: When Depth Helps, Hurts, or Doesn't Matter PonderNet: Learning to Ponder

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T07:23:44.617504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:23:44.617504Z digest=sha256:c068effe283ede661deb3f162eba244bb8b3e3d3fb0779246355722728f63391

Observation b6f7a5b9-75b6-4985-8d5c-754b090c43a7 · inbound

The Equilibrium Is the Initialization: Lazy Identity Collapse in Physics-Structured Deep Equilibrium Reasoning cites this paper.

The Equilibrium Is the Initialization: Lazy Identity Collapse in Physics-Structured Deep Equilibrium Reasoning PonderNet: Learning to Ponder

Reference 17

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unresolved
no resolver link, observed 2026-07-14T06:57:31.514910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:57:31.514910Z digest=sha256:cdd27afc01572fe2431c5d13b99d9451474cc0565c0107da84a8f761abd8f846

Observation 9a32a304-b21d-4a35-afbe-ab95480ae931 · inbound

DeepLoop: Depth Scaling for Looped Transformers cites this paper.

DeepLoop: Depth Scaling for Looped Transformers PonderNet: Learning to Ponder

Reference 2021

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no resolver link, observed 2026-08-02T05:05:24.981055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:05:24.981055Z digest=sha256:a95271ff5b3b0d62d43fd74e97b7dedc2188e6db443157dd0945cd64b3c54a09

Observation d4575402-d871-496d-a3e7-56479f56c5e5 · inbound

Per-Token Fixed-Point Convergence in Depth-Recurrent Transformers cites this paper.

Per-Token Fixed-Point Convergence in Depth-Recurrent Transformers PonderNet: Learning to Ponder

Reference 4

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unresolved
no resolver link, observed 2026-08-02T02:11:13.947284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:11:13.947284Z digest=sha256:314d1231356d728cf5e316ac23868a5cfc0c701a60412679c043fc8cbbbf5e5b

Observation 2a202002-1871-4682-b60c-d6231fe49a92 · inbound

Adaptive Depth in Looped Transformers: Diagnosing Learned Halting Gates and Trajectory Readouts cites this paper.

Adaptive Depth in Looped Transformers: Diagnosing Learned Halting Gates and Trajectory Readouts PonderNet: Learning to Ponder

Reference 2021

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unresolved
no resolver link, observed 2026-08-02T08:13:27.955279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:13:27.955279Z digest=sha256:a521b5a2bc2121dd359f9a2666e799e19a2cafce79b4142255bda09f8a799842

Observation e0566e4b-55d9-47c0-b8eb-f3a6db0772f1 · inbound

Dynamic Parameterization Is Not Dynamic Inference cites this paper.

Dynamic Parameterization Is Not Dynamic Inference PonderNet: Learning to Ponder

Reference 12

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unresolved
no resolver link, observed 2026-08-01T00:35:16.995160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T00:35:16.995160Z digest=sha256:f64db23993a8e9ddaf4342fd5ac175e0b31df0c8354c57fefc38cc0d8efb8407

Observation bd53b1bb-93c3-47c5-ab03-7f7c662fa365 · inbound

LoopMTP: A looped transformer guided by latent multi-token prediction cites this paper.

LoopMTP: A looped transformer guided by latent multi-token prediction PonderNet: Learning to Ponder

Reference 25

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unresolved
no resolver link, observed 2026-08-05T15:54:10.095999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T15:54:10.095999Z digest=sha256:2707d86f312d12cbcbbbb7f0895e20d19bd0e8ba73eeed9e0ecc5a413821ab52

Observation ab57c044-ee32-4d37-bbdd-c09b68cddbdd · inbound

Iterate or Widen? When Test-Time Refinement Helps LiDAR Scene Completion: A Controlled Study of Evidence Geometry, Training Coverage, and Compute cites this paper.

Iterate or Widen? When Test-Time Refinement Helps LiDAR Scene Completion: A Controlled Study of Evidence Geometry, Training Coverage, and Compute PonderNet: Learning to Ponder

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-07T19:26:45.075272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:26:45.075272Z digest=sha256:f5e0d7aade97760ffcbd62aac09558a1ac67ccf8a7c525f88575c2dace6e2b39