Pith Number

pith:U7SHXPZN

pith:2025:U7SHXPZNZISKMFA4DTK7A7B6EU

not attested not anchored not stored refs pending

Low-rank Momentum Factorization for Memory Efficient Training

Mehrdad Mahdavi, Pouria Mahdavinia

arxiv:2507.08091 v1 · 2025-07-10 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7SHXPZNZISKMFA4DTK7A7B6EU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:35:17.172965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e47bbf2dca24a6141c1cd5f07c3e253b63d1d5c42c9dbef32b86f0c2ca4e56

Aliases

arxiv: 2507.08091 · arxiv_version: 2507.08091v1 · doi: 10.48550/arxiv.2507.08091 · pith_short_12: U7SHXPZNZISK · pith_short_16: U7SHXPZNZISKMFA4 · pith_short_8: U7SHXPZN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/U7SHXPZNZISKMFA4DTK7A7B6EU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a7e47bbf2dca24a6141c1cd5f07c3e253b63d1d5c42c9dbef32b86f0c2ca4e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6873464763bb7b714119525471bfdc0d9b71154254e7b2ba98d718b60a65e6ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-10T18:04:52Z",
    "title_canon_sha256": "8cdffc81b94e0cd95df95e5d78966e4e4d44e8ec5be4f01826df0ecded66e054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08091",
    "kind": "arxiv",
    "version": 1
  }
}