Pith Number

pith:CFNSYFS5

pith:2010:CFNSYFS5NBIVRRLSNZDAT3WZ52

not attested not anchored not stored refs pending

On the Multi-Dimensional Controller and Stopper Games

Erhan Bayraktar, Yu-Jui Huang

arxiv:1009.0932 v8 · 2010-09-05 · math.OC · cs.SY · math.PR · q-fin.GN

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFNSYFS5NBIVRRLSNZDAT3WZ52}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:36:37.304586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

115b2c165d685158c5726e4609eed9ee8e1dc6c3de57cb9f0780f7d540415e89

Aliases

arxiv: 1009.0932 · arxiv_version: 1009.0932v8 · doi: 10.48550/arxiv.1009.0932 · pith_short_12: CFNSYFS5NBIV · pith_short_16: CFNSYFS5NBIVRRLS · pith_short_8: CFNSYFS5

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/CFNSYFS5NBIVRRLSNZDAT3WZ52 \
  | 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: 115b2c165d685158c5726e4609eed9ee8e1dc6c3de57cb9f0780f7d540415e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31d53b60c0a22fee9fba176c145857bef2317babe00c561f62f056e84737267",
    "cross_cats_sorted": [
      "cs.SY",
      "math.PR",
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-09-05T16:59:59Z",
    "title_canon_sha256": "a0661610377e4a3efaece262161b985a9e4a27895530fc09a499b010eebb85a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0932",
    "kind": "arxiv",
    "version": 8
  }
}