Pith Number

pith:77OWTUO2

pith:2016:77OWTUO2MC2SMN6EOVCLD4R35L

not attested not anchored not stored refs pending

Statistical inference and hypotheses testing of risk averse stochastic programs

Alexander Shapiro, Vincent Guigues, Volker Kr\"atschmer

arxiv:1603.07384 v1 · 2016-03-23 · 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{77OWTUO2MC2SMN6EOVCLD4R35L}

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	2026-05-18T01:18:21.127711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffdd69d1da60b52637c47544b1f23beac5463fb9d60d76887c0bbdb80c9b6563

Aliases

arxiv: 1603.07384 · arxiv_version: 1603.07384v1 · doi: 10.48550/arxiv.1603.07384 · pith_short_12: 77OWTUO2MC2S · pith_short_16: 77OWTUO2MC2SMN6E · pith_short_8: 77OWTUO2

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/77OWTUO2MC2SMN6EOVCLD4R35L \
  | 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: ffdd69d1da60b52637c47544b1f23beac5463fb9d60d76887c0bbdb80c9b6563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e5ea822e81412586df04295b524617c79864879a208ecec23fe6bde68809837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-23T22:47:28Z",
    "title_canon_sha256": "be559a84444b9ecc7f10f26662c8d8f3e023ae5878e6e1e111e93402b5a4334f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07384",
    "kind": "arxiv",
    "version": 1
  }
}