Pith Number

pith:DSZSKUOS

pith:2016:DSZSKUOSK3NS5SUZQ36F7V3J6S

not attested not anchored not stored refs pending

A scenario-based framework for supply planning under uncertainty: stochastic programming versus robust optimization approaches

Florian Potra, Francesca Maggioni, Marida Bertocchi

arxiv:1611.06514 v1 · 2016-11-20 · 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{DSZSKUOSK3NS5SUZQ36F7V3J6S}

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	2026-05-18T00:57:36.564418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb32551d256db2eca9986fc5fd769f48def0a6c2caa4fd85009d11df4df3e81

Aliases

arxiv: 1611.06514 · arxiv_version: 1611.06514v1 · doi: 10.48550/arxiv.1611.06514 · pith_short_12: DSZSKUOSK3NS · pith_short_16: DSZSKUOSK3NS5SUZ · pith_short_8: DSZSKUOS

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/DSZSKUOSK3NS5SUZQ36F7V3J6S \
  | 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: 1cb32551d256db2eca9986fc5fd769f48def0a6c2caa4fd85009d11df4df3e81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec17c5441c44a42d789c35c147e1ea419f4850420ca2583e7bf417aba9c5eec6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-20T13:48:53Z",
    "title_canon_sha256": "3f6a9c6441a979a4f013f2bee1091b8c1adc0688c19e6246da2986e2553ccfc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06514",
    "kind": "arxiv",
    "version": 1
  }
}