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Paper Citation Record · LEDGER

Memory-Efficient Optimization with Factorized Hamiltonian Descent

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 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 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T12:40:42.374967Z

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 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.

source=arxiv_source observed=2026-08-08T12:40:42.374967Z digest=sha256:366f2789134bc8f8f9b818743533669560d096387cc02e2a18b86bb9cde7256a

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.

source=arxiv_source observed=2026-08-07T13:06:25.959409Z digest=sha256:d90939d9025be3a59f05e9939fa25cc7f79282feda958f3a7cd73f854672325e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:29:46.482638Z digest=sha256:89fd414a2c6410d46d7ab808d0011ad477e2b760522839d6967adf3bb2e319b9