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Paper Citation Record · LEDGER

FOAM: Blocked State Folding for Memory-Efficient LLM Training

As of 22 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 1 inbound Pith citation observation for arXiv:2512.07112.

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

pith.paper-citation-record.v1
2512.07112 v2

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-17T00:47:48.047405Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T01:58:58.340687Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

4 of 4 outbound references displayed

  • verified exact0
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 38902841-28f1-48ab-af98-0cd2c77c87da · outbound

This paper cites ∆t√Vt +ϵ 2# = 3c1 4 ∥∇f(W t)∥2 − 1 c1 E.

FOAM: Blocked State Folding for Memory-Efficient LLM Training ∆t√Vt +ϵ 2# = 3c1 4 ∥∇f(W t)∥2 − 1 c1 E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T00:48:46.471619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-17T00:47:48.047405Z digest=sha256:49924732e9795496db1d53403b8542cb14b135cd3aaf85c00749c0042ff8d38c

Observation 50d7363a-a7ff-4c9d-9476-4e1727e3eaae · outbound

This paper cites These details are provided in Table 10.

FOAM: Blocked State Folding for Memory-Efficient LLM Training These details are provided in Table 10

Reference 2

Resolution
malformed identifier
raw_fallback, observed 2026-05-17T00:48:46.469562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-17T00:47:48.047405Z digest=sha256:1abb5b97d04919de977515b03be1a48c0ec431506775e64523904b47480f76db

Observation a56c07a8-0d26-4698-85d1-3f8beb6e38c3 · outbound

This paper cites an unresolved cited work.

FOAM: Blocked State Folding for Memory-Efficient LLM Training Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-17T00:48:46.465599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-17T00:47:48.047405Z digest=sha256:bb1a4a7d655db9ea236bc147c4a04c4805bc4dc0fed03d449b4a31fc2fb4e31f

Observation 617ceadf-69fc-4699-98fd-00a2d45b5df6 · outbound

This paper cites an unresolved cited work.

FOAM: Blocked State Folding for Memory-Efficient LLM Training Unresolved cited work

Reference 4

Resolution
malformed identifier
raw_fallback, observed 2026-05-17T00:48:46.467503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-17T00:47:48.047405Z digest=sha256:a14fa63e2d3e4eab125818e0aaf1aea356b2c445676d42bfb6108778c2520277

Pith citing papers

Observation 89bb6eb8-798b-4d5c-8c6a-278523ea9871 · inbound

Muse: Representation Geometry of Muon Beyond Normalized Momentum cites this paper.

Muse: Representation Geometry of Muon Beyond Normalized Momentum FOAM: Blocked State Folding for Memory-Efficient LLM Training

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-02T01:58:58.340687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:58:58.340687Z digest=sha256:d920b7c2e129904c581bd3fe80379b416ad6d7b45a5756ecd5a587181dbeb751