Pith Number

pith:F4JIORL6

pith:2016:F4JIORL6XQQOMN7WLL3XANI55N

not attested not anchored not stored refs pending

Stochastic Averaging for Constrained Optimization with Application to Online Resource Allocation

Alejandro Ribeiro, Aryan Mokhtari, Georgios B. Giannakis, Tianyi Chen, Xin Wang

arxiv:1610.02143 v2 · 2016-10-07 · math.OC · cs.DC · cs.LG · 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{F4JIORL6XQQOMN7WLL3XANI55N}

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	2026-05-18T00:43:59.851216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1287457ebc20e637f65af770351deb6b9a33a067cdbf5268326f1b6ceb90e9

Aliases

arxiv: 1610.02143 · arxiv_version: 1610.02143v2 · doi: 10.48550/arxiv.1610.02143 · pith_short_12: F4JIORL6XQQO · pith_short_16: F4JIORL6XQQOMN7W · pith_short_8: F4JIORL6

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/F4JIORL6XQQOMN7WLL3XANI55N \
  | 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: 2f1287457ebc20e637f65af770351deb6b9a33a067cdbf5268326f1b6ceb90e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48434f6cec0004fbbe7d5197e0d8093319a7fe95b435843280cfd99369870df",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-07T05:11:23Z",
    "title_canon_sha256": "271865648400c513bb877ecc39ee31ea2db4fab999c7aab58849a216ac0093fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02143",
    "kind": "arxiv",
    "version": 2
  }
}