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Paper Citation Record · LEDGER

The Quantization Benefits of Residual-Free Transformers

As of 15 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 2 inbound Pith citation observations for arXiv:2605.25880.

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

pith.paper-citation-record.v1
2605.25880 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T22:52:26.612229Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T23:38:38.639450Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation e5ca9300-4218-4179-8b85-23d1d6f0fb48 · outbound

This paper cites Then each coordinate of xℓ+1 has same mean and variance as ϕ(norm(xℓ)), and its excess kurtosis γℓ+1 satisfies |γℓ+1| ≤ µℓ d |˜γℓ|.

The Quantization Benefits of Residual-Free Transformers Then each coordinate of xℓ+1 has same mean and variance as ϕ(norm(xℓ)), and its excess kurtosis γℓ+1 satisfies |γℓ+1| ≤ µℓ d |˜γℓ|

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-29T22:52:26.612229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T22:52:26.612229Z digest=sha256:3ff74a07100586692d0fff1a13518687b87e2ed302fef2bee153e16cee0b9ad5

Observation 6fe5b48d-5154-47cd-9c46-8b0881275bab · outbound

This paper cites an unresolved cited work.

The Quantization Benefits of Residual-Free Transformers Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-29T22:52:26.612229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T22:52:26.612229Z digest=sha256:a68b21195b1068a5387a91dd9045060fe10101a22a41f63892b176d646931857

Observation 1d6bca69-225b-44d0-9240-c109fbcb14fa · outbound

This paper cites Hence the excess kurtosis of a softmax coordinate is controlled only when the logits remain in a non-peaky regime.

The Quantization Benefits of Residual-Free Transformers Hence the excess kurtosis of a softmax coordinate is controlled only when the logits remain in a non-peaky regime

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-29T22:52:26.612229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T22:52:26.612229Z digest=sha256:b30d9ae76561ab4355065c6aabb3edd6a2e22928dac344a04a847d19cd1589b8

Observation d62b5584-a42f-4c8c-97e5-90b2a1d33150 · outbound

This paper cites an unresolved cited work.

The Quantization Benefits of Residual-Free Transformers Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-29T22:52:26.612229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T22:52:26.612229Z digest=sha256:f2d71eaa8799f44241b179f00d5ad5429f49c91af5ad00d48d356162764baf12

Observation f0543442-d3e6-47c4-8513-60f70c1ec7ce · outbound

This paper cites 26 Either ingredient alone is insufficient.

The Quantization Benefits of Residual-Free Transformers 26 Either ingredient alone is insufficient

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-29T22:52:26.612229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T22:52:26.612229Z digest=sha256:b27f6a3f5f2d20b191d248b428338f307f03ae5468dffaec1d1238eb50b761e3

Observation b0acd2cf-8fcd-4820-bcea-c0d51c102e99 · outbound

This paper cites This creates a self-correcting fourth-moment mechanism toward Gaussian-like activations.

The Quantization Benefits of Residual-Free Transformers This creates a self-correcting fourth-moment mechanism toward Gaussian-like activations

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-29T22:52:26.612229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T22:52:26.612229Z digest=sha256:dbe1c6fc4796833d908e0d631fa5b051415906955ac82d9b2e2a195aad0d0841

Observation bc8f620d-42bc-4848-a32c-13d08c174966 · outbound

This paper cites Even if the branch output were itself close to Gaussian, the sum need not become more Gaussian because the old hidden state is preserved rather than replaced.

The Quantization Benefits of Residual-Free Transformers Even if the branch output were itself close to Gaussian, the sum need not become more Gaussian because the old hidden state is preserved rather than replaced

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-29T22:52:26.612229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T22:52:26.612229Z digest=sha256:283fe7e925f1d1e82a4258dd145cf4aff884c12f25e71ed0c759ac8d028c7e47

Observation c246112f-ddcb-4d6f-961e-d347f0541d83 · outbound

This paper cites an unresolved cited work.

The Quantization Benefits of Residual-Free Transformers Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-29T22:52:26.612229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T22:52:26.612229Z digest=sha256:f7ac7879d9bf11736c7daa6e2fd44a81570420adb626aacd4bcb966de9112d87

Observation 11d1d1ff-4598-45de-b719-fa1b1d781348 · outbound

This paper cites It both promotes dense norm-preserving mixing at initialization and tends to preserve it during training.

The Quantization Benefits of Residual-Free Transformers It both promotes dense norm-preserving mixing at initialization and tends to preserve it during training

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-29T22:52:26.612229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T22:52:26.612229Z digest=sha256:5804a9bfed89c9ac0ec2c0155e9a5cda32547a8d265f18c128b3d391abb2d561

Pith citing papers

Observation 7839919a-8b8a-49d0-ad14-b4a85105870e · inbound

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation cites this paper.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation The Quantization Benefits of Residual-Free Transformers

Reference 102

Resolution
unresolved
no resolver link, observed 2026-07-30T23:38:38.489667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T23:38:38.489667Z digest=sha256:e6acce526229f36e8a6142ae133f5643415a5afaf5f5062d20d5f3849f01398b

Observation b4b6fdcb-1c18-48d6-b3cf-563947f63e98 · inbound

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation cites this paper.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation The Quantization Benefits of Residual-Free Transformers

Reference 154

Resolution
verified exact
local_arxiv, observed 2026-07-30T23:40:59.181246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-07-30T23:38:38.639450Z digest=sha256:b7951deb5e6ede2ba3fed892d7cc8d0ef56a4eb8f5f41e00cb12f5d1f8c668fd