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Paper Citation Record · LEDGER

On the Optimization and Generalization of Multi-head Attention

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2310.12680.

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

pith.paper-citation-record.v1
2310.12680 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:39:55.010451Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T13:29:50.964232Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • 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 5fbf6793-d710-4691-817d-2cdfbdbe287b · inbound

H$_2$O: Heavy-Hitter Oracle for Efficient Generative Inference of Large Language Models cites this paper.

H$_2$O: Heavy-Hitter Oracle for Efficient Generative Inference of Large Language Models On the Optimization and Generalization of Multi-head Attention

Reference 114

Resolution
verified exact
arxiv_id, observed 2026-05-17T18:00:50.332170Z

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=2026-05-17T18:00:50.053377Z digest=sha256:3a9f3e9b4e1a75d8a417420dd0cf76a300e55fb6fa0d8d780e4a92e5b2520bba

Observation a7bf4afd-cb6f-4825-8f2a-7f3396c30c9d · inbound

How Transformers Learn Regular Language Recognition: A Theoretical Study on Training Dynamics and Implicit Bias cites this paper.

How Transformers Learn Regular Language Recognition: A Theoretical Study on Training Dynamics and Implicit Bias On the Optimization and Generalization of Multi-head Attention

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T04:39:55.010451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:39:55.010451Z digest=sha256:22bc996aa65f2fb6f152f6e52b7af6969196bf5ab39971cd871a49a5b1aa6d54

Observation cd45c953-249f-42de-9f57-f256a71e4bd0 · inbound

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization cites this paper.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization On the Optimization and Generalization of Multi-head Attention

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T06:10:17.345237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T06:10:17.345237Z digest=sha256:dece2e366a1a928f7bcf3d2ecb80ef3afbd2ad6a839bff7669db16a14c5c0559

Observation 8270ac6b-bb71-4d17-acb4-c80c0289ccde · inbound

Structure Before Collapse: Transient semantic geometry in next-token prediction cites this paper.

Structure Before Collapse: Transient semantic geometry in next-token prediction On the Optimization and Generalization of Multi-head Attention

Reference 201

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T13:29:50.966010Z

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=arxiv_source observed=2026-06-26T05:14:07.208255Z digest=sha256:470432585b4cada8e905b425e7402726fac4b798539a5bdf2cc9c41e24238750

Observation e9cbbafc-1209-481a-8049-06b45c4e698f · inbound

Faster Query-Key Learning Sharpens Attention in Self-Attention Models cites this paper.

Faster Query-Key Learning Sharpens Attention in Self-Attention Models On the Optimization and Generalization of Multi-head Attention

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T14:39:18.066978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:39:18.066978Z digest=sha256:9471e067bf5e2f7d57191cc32d390a0a8e58e32828aa0a996779da557b3fc49f