Pith Number

pith:ZLBZZOPM

pith:2017:ZLBZZOPMFVLPKOH4HDQWYT2MMZ

not attested not anchored not stored refs pending

Stochastic Optimization with Parametric Cost Function Approximations

Raymond T. Perkins III, Warren B. Powell

arxiv:1703.04644 v1 · 2017-03-14 · 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{ZLBZZOPMFVLPKOH4HDQWYT2MMZ}

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	2026-05-18T00:48:39.526423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac39cb9ec2d56f538fc38e16c4f4c666e746701efdaed713dde2f17de988eff

Aliases

arxiv: 1703.04644 · arxiv_version: 1703.04644v1 · doi: 10.48550/arxiv.1703.04644 · pith_short_12: ZLBZZOPMFVLP · pith_short_16: ZLBZZOPMFVLPKOH4 · pith_short_8: ZLBZZOPM

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/ZLBZZOPMFVLPKOH4HDQWYT2MMZ \
  | 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: cac39cb9ec2d56f538fc38e16c4f4c666e746701efdaed713dde2f17de988eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f88b96367b8df513c70f3e1e89a83ce43023a6f4799c248e50d183bf91fe5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-14T18:16:54Z",
    "title_canon_sha256": "d36573fd0c033724f7341a6b7a6bd866234140b2edfc29e1ac27fd36f99203c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04644",
    "kind": "arxiv",
    "version": 1
  }
}