Pith Number

pith:AN4YHZ4K

pith:2026:AN4YHZ4K24AEIVD7EW3KAKCH2N

not attested not anchored not stored refs pending

MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimization

Da Chang, Ganzhao Yuan

arxiv:2606.17526 v1 · 2026-06-16 · 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{AN4YHZ4K24AEIVD7EW3KAKCH2N}

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	2026-06-19T16:10:15.142570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037983e78ad70044547f25b6a02847d3472f0906ae7a03fd96dac108fbcf33ab

Aliases

arxiv: 2606.17526 · arxiv_version: 2606.17526v1 · doi: 10.48550/arxiv.2606.17526 · pith_short_12: AN4YHZ4K24AE · pith_short_16: AN4YHZ4K24AEIVD7 · pith_short_8: AN4YHZ4K

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/AN4YHZ4K24AEIVD7EW3KAKCH2N \
  | 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: 037983e78ad70044547f25b6a02847d3472f0906ae7a03fd96dac108fbcf33ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "921701785539bcbab66ca40bda6ceec8fd7ea5c4b761fa250b2b11d8c8483bc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-16T05:10:29Z",
    "title_canon_sha256": "bea8a6cf67f7103cd6ceaf342d7597b3e56a35bd5784a76356463c52868afb26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17526",
    "kind": "arxiv",
    "version": 1
  }
}