Paper Citation Record · LEDGER

Memory-Efficient Optimization with Factorized Hamiltonian Descent

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2406.09958.

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

pith.paper-citation-record.v1
2406.09958 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:52:57.282170Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:29:46.726746Z

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 865654da-1387-4cbb-bbdf-1ccec263a1bc · inbound

Grams: Gradient Descent with Adaptive Momentum Scaling cites this paper.

Grams: Gradient Descent with Adaptive Momentum Scaling Memory-Efficient Optimization with Factorized Hamiltonian Descent

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T05:52:57.282170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bce9ba0-b666-4026-8659-30882c7e084f · inbound

Improving Adaptive Moment Optimization via Preconditioner Diagonalization cites this paper.

Improving Adaptive Moment Optimization via Preconditioner Diagonalization Memory-Efficient Optimization with Factorized Hamiltonian Descent

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-08T12:40:42.374967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 426ae338-2280-4904-b1f8-01a9dcadba53 · inbound

Scalable Parameter and Memory Efficient Pretraining for LLM: Recent Algorithmic Advances and Benchmarking cites this paper.

Scalable Parameter and Memory Efficient Pretraining for LLM: Recent Algorithmic Advances and Benchmarking Memory-Efficient Optimization with Factorized Hamiltonian Descent

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T13:06:25.959409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d85bf66d-0a09-4479-8e73-216c9c9f545d · inbound

Learning long range dependencies through time reversal symmetry breaking cites this paper.

Learning long range dependencies through time reversal symmetry breaking Memory-Efficient Optimization with Factorized Hamiltonian Descent

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:29:46.732188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.