Pith Number

pith:QNWUMLWG

pith:2024:QNWUMLWGIG66OM55SWOVZLERKG

not attested not anchored not stored refs pending

A stochastic first-order method with multi-extrapolated momentum for highly smooth unconstrained optimization

Chuan He

arxiv:2412.14488 v4 · 2024-12-19 · math.OC · cs.AI · 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{QNWUMLWGIG66OM55SWOVZLERKG}

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	2026-07-05T10:45:58.533340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836d462ec641bde733bd959d5cac9151b5cd6ddcb108595433e829cd8b2c0887

Aliases

arxiv: 2412.14488 · arxiv_version: 2412.14488v4 · doi: 10.48550/arxiv.2412.14488 · pith_short_12: QNWUMLWGIG66 · pith_short_16: QNWUMLWGIG66OM55 · pith_short_8: QNWUMLWG

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/QNWUMLWGIG66OM55SWOVZLERKG \
  | 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: 836d462ec641bde733bd959d5cac9151b5cd6ddcb108595433e829cd8b2c0887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c911dbae729bcb3d874f07f3729d84a6dd52d95e68f9062d0590fab68e532f82",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-19T03:22:47Z",
    "title_canon_sha256": "da67d8d07ba14b1c30170f9f06ea7da6edfce17b3634f0ada66da6eef1141618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14488",
    "kind": "arxiv",
    "version": 4
  }
}