Pith Number

pith:ZGS4PRUG

pith:2016:ZGS4PRUGFNHPRCYBZKWB5ATPDT

not attested not anchored not stored refs pending

Stochastic nonzero-sum games: a new connection between singular control and optimal stopping

Giorgio Ferrari, Tiziano De Angelis

arxiv:1601.05709 v3 · 2016-01-21 · 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{ZGS4PRUGFNHPRCYBZKWB5ATPDT}

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	2026-05-18T00:27:10.175369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a5c7c6862b4ef88b01caac1e826f1ce67c6baf4e3ca1303d7d5cbdd284c5e8

Aliases

arxiv: 1601.05709 · arxiv_version: 1601.05709v3 · doi: 10.48550/arxiv.1601.05709 · pith_short_12: ZGS4PRUGFNHP · pith_short_16: ZGS4PRUGFNHPRCYB · pith_short_8: ZGS4PRUG

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/ZGS4PRUGFNHPRCYBZKWB5ATPDT \
  | 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: c9a5c7c6862b4ef88b01caac1e826f1ce67c6baf4e3ca1303d7d5cbdd284c5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "399a7c5355c376c4f54214d62eaf5360e95abdaed2fd80eec900049a22373b29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-21T16:59:34Z",
    "title_canon_sha256": "543bacabf0cb7a36d25ef422353a3a298ce20b38a004bf672402ce3f34d4b67d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05709",
    "kind": "arxiv",
    "version": 3
  }
}