Pith Number

pith:FFMSQH5O

pith:2014:FFMSQH5OML5SBHTFH5VCFYZ3WM

not attested not anchored not stored refs pending

Distributed Stochastic Approximation Algorithm With Expanding Truncations: Algorithm and Applications

Han-Fu Chen, Jinlong Lei

arxiv:1410.7180 v5 · 2014-10-27 · 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{FFMSQH5OML5SBHTFH5VCFYZ3WM}

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	2026-05-17T23:47:08.931512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2959281fae62fb209e653f6a22e33bb3179ce54be1a4963197fa9a16f7e115ec

Aliases

arxiv: 1410.7180 · arxiv_version: 1410.7180v5 · doi: 10.48550/arxiv.1410.7180 · pith_short_12: FFMSQH5OML5S · pith_short_16: FFMSQH5OML5SBHTF · pith_short_8: FFMSQH5O

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/FFMSQH5OML5SBHTFH5VCFYZ3WM \
  | 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: 2959281fae62fb209e653f6a22e33bb3179ce54be1a4963197fa9a16f7e115ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a81e36be0a00e38d738805010a4194a0204ffcb95107aefcd98b33cfeb75407",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-10-27T10:53:34Z",
    "title_canon_sha256": "6b8d0e5662f154fac4097581eaaf390198cc25730e6a49ae3b10989c3de5ce84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7180",
    "kind": "arxiv",
    "version": 5
  }
}