Pith Number

pith:3VBB4UZB

pith:2013:3VBB4UZBKNNDR5EFSGJLHLZYOM

not attested not anchored not stored refs pending

On the Convergence of Decentralized Gradient Descent

Kun Yuan, Qing Ling, Wotao Yin

arxiv:1310.7063 v3 · 2013-10-26 · 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{3VBB4UZBKNNDR5EFSGJLHLZYOM}

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	2026-05-18T01:02:31.276562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd421e5321535a38f4859192b3af387315ff0feb2734ae035870b408e685b338

Aliases

arxiv: 1310.7063 · arxiv_version: 1310.7063v3 · doi: 10.48550/arxiv.1310.7063 · pith_short_12: 3VBB4UZBKNND · pith_short_16: 3VBB4UZBKNNDR5EF · pith_short_8: 3VBB4UZB

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/3VBB4UZBKNNDR5EFSGJLHLZYOM \
  | 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: dd421e5321535a38f4859192b3af387315ff0feb2734ae035870b408e685b338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "199483e7bf411860fd0415d1fa23d81b51373346a88ee0fbc3289cf4c6b622d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-26T03:30:46Z",
    "title_canon_sha256": "1bc998b3c1daf209195657861f6c931bcb47c1801da5e3eac15fed03d9a3eeaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7063",
    "kind": "arxiv",
    "version": 3
  }
}