Pith Number

pith:TEXG43US

pith:2026:TEXG43USG6QJ3BTI7EU7FNSDEF

not attested not anchored not stored refs pending

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization

Brian Bullins, Cedar Site Bai, David F. Gleich, Zhe Zhang, Zitao Song

arxiv:2602.06880 v2 · 2026-02-06 · 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{TEXG43USG6QJ3BTI7EU7FNSDEF}

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	2026-05-28T01:04:36.495871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

992e6e6e9237a09d8668f929f2b64321717333eaf9668d683054710adf25478b

Aliases

arxiv: 2602.06880 · arxiv_version: 2602.06880v2 · doi: 10.48550/arxiv.2602.06880 · pith_short_12: TEXG43USG6QJ · pith_short_16: TEXG43USG6QJ3BTI · pith_short_8: TEXG43US

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/TEXG43USG6QJ3BTI7EU7FNSDEF \
  | 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: 992e6e6e9237a09d8668f929f2b64321717333eaf9668d683054710adf25478b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc8b3f73cf83c5815bfc04f262ea6058cb4844f7f225cf12811c364429f2143",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-06T17:06:42Z",
    "title_canon_sha256": "941aacee3d52101bdf82409d93c03ccee25e0ebbd7f3e406c36d31f1fddd22ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06880",
    "kind": "arxiv",
    "version": 2
  }
}