Pith Number

pith:TBI3M3X7

pith:2014:TBI3M3X7D3NPGI4VQCTSHBZAD3

not attested not anchored not stored refs pending

A Simple Convergence Time Analysis of Drift-Plus-Penalty for Stochastic Optimization and Convex Programs

Michael J. Neely

arxiv:1412.0791 v1 · 2014-12-02 · 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{TBI3M3X7D3NPGI4VQCTSHBZAD3}

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	2026-05-18T02:32:21.201542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9851b66eff1edaf3239580a72387201ec21c2230ce6b383b00d6901bf175e48a

Aliases

arxiv: 1412.0791 · arxiv_version: 1412.0791v1 · doi: 10.48550/arxiv.1412.0791 · pith_short_12: TBI3M3X7D3NP · pith_short_16: TBI3M3X7D3NPGI4V · pith_short_8: TBI3M3X7

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/TBI3M3X7D3NPGI4VQCTSHBZAD3 \
  | 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: 9851b66eff1edaf3239580a72387201ec21c2230ce6b383b00d6901bf175e48a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa64a9759c30d6b3de7fa080b387641b711b74805ae070c899229fe1a64559f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-12-02T06:29:13Z",
    "title_canon_sha256": "5c3e6311d48916b5bd39576b10424db355151884272267258b15057541ccda2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0791",
    "kind": "arxiv",
    "version": 1
  }
}