Pith Number

pith:G2G67WK2

pith:2024:G2G67WK27DQTF4BVER6ED5BTLR

not attested not anchored not stored refs pending

Grams: Gradient Descent with Adaptive Momentum Scaling

Xiaoyu Li, Yang Cao, Zhao Song

arxiv:2412.17107 v3 · 2024-12-22 · cs.LG · cs.AI · cs.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2G67WK27DQTF4BVER6ED5BTLR}

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	2026-07-05T10:24:29.155373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

368defd95af8e132f035247c41f4335c69bb81bbb4d912bc93fba4e0eda21256

Aliases

arxiv: 2412.17107 · arxiv_version: 2412.17107v3 · doi: 10.48550/arxiv.2412.17107 · pith_short_12: G2G67WK27DQT · pith_short_16: G2G67WK27DQTF4BV · pith_short_8: G2G67WK2

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/G2G67WK27DQTF4BVER6ED5BTLR \
  | 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: 368defd95af8e132f035247c41f4335c69bb81bbb4d912bc93fba4e0eda21256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eef52efe6a99eb9bd4e1eee23adcb40ed56fbdb8176cd8e27d0524d4ec3c993",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DS",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-22T17:39:32Z",
    "title_canon_sha256": "efb05a396352cb9c582806ea164ee9a9e7fb538de21c660e3e30dde3e99c4667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17107",
    "kind": "arxiv",
    "version": 3
  }
}