Pith Number

pith:ZCIOKO7P

pith:2016:ZCIOKO7PRAX4G6AY6NZZJDXJZM

not attested not anchored not stored refs pending

Asymptotic Properties of Primal-Dual Algorithm for Distributed Stochastic Optimization Over Random Networks

Hai-Tao Fang, Han-Fu Chen, Jinlong Lei

arxiv:1607.06623 v1 · 2016-07-22 · 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{ZCIOKO7PRAX4G6AY6NZZJDXJZM}

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	2026-05-18T01:10:39.425442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c890e53bef882fc37818f373948ee9cb05359bb660ff80e07773e916cf8d7937

Aliases

arxiv: 1607.06623 · arxiv_version: 1607.06623v1 · doi: 10.48550/arxiv.1607.06623 · pith_short_12: ZCIOKO7PRAX4 · pith_short_16: ZCIOKO7PRAX4G6AY · pith_short_8: ZCIOKO7P

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/ZCIOKO7PRAX4G6AY6NZZJDXJZM \
  | 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: c890e53bef882fc37818f373948ee9cb05359bb660ff80e07773e916cf8d7937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14517fd29285f4044fe1efcc8b4900d4c42ec8babe7aa7ccb1aa771739f5a453",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-22T10:02:16Z",
    "title_canon_sha256": "4e7c1022b2851e659cf01361ef06105b2f29c7ca45a4c40de9ca599589b5ad13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06623",
    "kind": "arxiv",
    "version": 1
  }
}