Pith Number

pith:GZ6FFCJO

pith:2018:GZ6FFCJO2ETSRH4UYMBFCHENQY

not attested not anchored not stored refs pending

Multistage stochastic programs with a random number of stages: dynamic programming equations, solution methods, and application to portfolio selection

Vincent Guigues

arxiv:1803.06034 v5 · 2018-03-15 · 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{GZ6FFCJO2ETSRH4UYMBFCHENQY}

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	2026-05-17T23:40:24.240931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367c52892ed127289f94c302511c8d860eedcb0e61487b15cefca40dd1e000dd

Aliases

arxiv: 1803.06034 · arxiv_version: 1803.06034v5 · doi: 10.48550/arxiv.1803.06034 · pith_short_12: GZ6FFCJO2ETS · pith_short_16: GZ6FFCJO2ETSRH4U · pith_short_8: GZ6FFCJO

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/GZ6FFCJO2ETSRH4UYMBFCHENQY \
  | 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: 367c52892ed127289f94c302511c8d860eedcb0e61487b15cefca40dd1e000dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b18b85eb2921d5b27638a18a6e6815882a327a1971edd30cd77ae88e6d3e7101",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-15T23:35:57Z",
    "title_canon_sha256": "6939683ea83708103e1e894ff362be820ae54762eb903426476b7e3b9bc387b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06034",
    "kind": "arxiv",
    "version": 5
  }
}