Pith Number

pith:26GSJ7D4

pith:2015:26GSJ7D4KBDF5CUPZE7I57W4WI

not attested not anchored not stored refs pending

Regularized Decomposition of High-Dimensional Multistage Stochastic Programs with Markov Uncertainty

Tsvetan Asamov, Warren B. Powell

arxiv:1505.02227 v3 · 2015-05-09 · math.OC · stat.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26GSJ7D4KBDF5CUPZE7I57W4WI}

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	2026-05-18T00:50:02.056636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78d24fc7c50465e8a8fc93e8efedcb20dc6a8dba97fccc97bed2b4e4e337778

Aliases

arxiv: 1505.02227 · arxiv_version: 1505.02227v3 · doi: 10.48550/arxiv.1505.02227 · pith_short_12: 26GSJ7D4KBDF · pith_short_16: 26GSJ7D4KBDF5CUP · pith_short_8: 26GSJ7D4

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/26GSJ7D4KBDF5CUPZE7I57W4WI \
  | 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: d78d24fc7c50465e8a8fc93e8efedcb20dc6a8dba97fccc97bed2b4e4e337778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c82c52419c90b6a8cf987fa7b2a77ff0980ede8315f140922e7784f744c67cb",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-09T03:26:22Z",
    "title_canon_sha256": "5a245f7d7d50165bd425f3669990f9f1a8e53b8cd727b35f407206f056059df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02227",
    "kind": "arxiv",
    "version": 3
  }
}