Pith Number

pith:5JOISHBH

pith:2018:5JOISHBHFJZVKALOXQUGCJX4ZB

not attested not anchored not stored refs pending

Non-ergodic Convergence Analysis of Heavy-Ball Algorithms

Chun Huang, Dongsheng Li, Hao Jiang, Lei Guan, Penghang Yin, Tao Sun

arxiv:1811.01777 v2 · 2018-11-05 · math.OC · 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{5JOISHBHFJZVKALOXQUGCJX4ZB}

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	2026-05-18T00:01:14.463335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea5c891c272a7355016ebc286126fcc8757829df3ba7ff51baa62e1aeb5dc91f

Aliases

arxiv: 1811.01777 · arxiv_version: 1811.01777v2 · doi: 10.48550/arxiv.1811.01777 · pith_short_12: 5JOISHBHFJZV · pith_short_16: 5JOISHBHFJZVKALO · pith_short_8: 5JOISHBH

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/5JOISHBHFJZVKALOXQUGCJX4ZB \
  | 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: ea5c891c272a7355016ebc286126fcc8757829df3ba7ff51baa62e1aeb5dc91f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0154ed3ef14af17c02a642d2c8189c94fb2163a7208cf47baaca80327addc8",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-05T15:10:39Z",
    "title_canon_sha256": "6c80b5935d227906945dca2bae2f4b6e8a50d9044ff16f12dab4ccea1a6869c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01777",
    "kind": "arxiv",
    "version": 2
  }
}