Pith Number

pith:ZODLUKPJ

pith:2012:ZODLUKPJWR5GXNGA56X4YRT4WT

not attested not anchored not stored refs pending

A Weak Dynamic Programming Principle for Zero-Sum Stochastic Differential Games with Unbounded Controls

Erhan Bayraktar, Song Yao

arxiv:1210.2788 v2 · 2012-10-10 · math.PR · math.AP · 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{ZODLUKPJWR5GXNGA56X4YRT4WT}

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	2026-05-18T03:31:06.555962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb86ba29e9b47a6bb4c0efafcc467cb4fc915993240f74a0a7163b77d0e89325

Aliases

arxiv: 1210.2788 · arxiv_version: 1210.2788v2 · doi: 10.48550/arxiv.1210.2788 · pith_short_12: ZODLUKPJWR5G · pith_short_16: ZODLUKPJWR5GXNGA · pith_short_8: ZODLUKPJ

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/ZODLUKPJWR5GXNGA56X4YRT4WT \
  | 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: cb86ba29e9b47a6bb4c0efafcc467cb4fc915993240f74a0a7163b77d0e89325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2727efd2e169bb49e11b1a81f6bde30dd2a1997355a4efe965eacc614feb580c",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-10T01:30:18Z",
    "title_canon_sha256": "a418f1565fcc4e181ce6ee2db5b462df4f936aad777621d783474cd447b8a09a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2788",
    "kind": "arxiv",
    "version": 2
  }
}