Pith Number

pith:QZNKOWQV

pith:2018:QZNKOWQV6FNYL73JYNDWFTWGOI

not attested not anchored not stored refs pending

Decomposability and time consistency of risk averse multistage programs

Alexander Shapiro, Kerem Ugurlu

arxiv:1806.01497 v1 · 2018-06-05 · 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{QZNKOWQV6FNYL73JYNDWFTWGOI}

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	2026-05-18T00:14:12.780795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865aa75a15f15b85ff69c34762cec6720e581384c8125fae81bba7f273cdb609

Aliases

arxiv: 1806.01497 · arxiv_version: 1806.01497v1 · doi: 10.48550/arxiv.1806.01497 · pith_short_12: QZNKOWQV6FNY · pith_short_16: QZNKOWQV6FNYL73J · pith_short_8: QZNKOWQV

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/QZNKOWQV6FNYL73JYNDWFTWGOI \
  | 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: 865aa75a15f15b85ff69c34762cec6720e581384c8125fae81bba7f273cdb609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c03128ef5d202e7e41c714d9c94a4c19df8805296b17ef4a63f8be8b6c8bc98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-05T05:11:45Z",
    "title_canon_sha256": "358ca2e8e39c2b40a5728f9fc8d880f5acb54b316698261be4ce8077ad5ae5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01497",
    "kind": "arxiv",
    "version": 1
  }
}