Pith Number

pith:42V2P3HY

pith:2020:42V2P3HY4UGGGUK4EUTYLPUWBF

not attested not anchored not stored refs pending

Complexity Guarantees for Polyak Steps with Momentum

Adrien Taylor, Alexandre d'Aspremont, Mathieu Barr\'e

arxiv:2002.00915 v2 · 2020-02-03 · math.OC · cs.NA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42V2P3HY4UGGGUK4EUTYLPUWBF}

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	2026-07-05T01:15:56.828862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6aba7ecf8e50c63515c252785be960953ddcd0e5cfd252f0c3971ea1f155f9f

Aliases

arxiv: 2002.00915 · arxiv_version: 2002.00915v2 · doi: 10.48550/arxiv.2002.00915 · pith_short_12: 42V2P3HY4UGG · pith_short_16: 42V2P3HY4UGGGUK4 · pith_short_8: 42V2P3HY

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/42V2P3HY4UGGGUK4EUTYLPUWBF \
  | 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: e6aba7ecf8e50c63515c252785be960953ddcd0e5cfd252f0c3971ea1f155f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe3681f069893c29761a2d26d1043a3cf8d9c5ce21e2654ff7d5fa69e65eae0",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-02-03T17:50:28Z",
    "title_canon_sha256": "742551ef549b989839c79cf9c6f147c96646a660932ace29081f3411fae73ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.00915",
    "kind": "arxiv",
    "version": 2
  }
}