Pith Number

pith:2XYYG27D

pith:2012:2XYYG27DWWQW4YOYYTQEAYC2YN

not attested not anchored not stored refs pending

Path-dependent Hamilton-Jacobi-Bellman equations related to controlled stochastic functional differential systems

Shaolin Ji, Shuzhen Yang

arxiv:1207.1194 v3 · 2012-07-05 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XYYG27DWWQW4YOYYTQEAYC2YN}

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	2026-05-18T03:37:28.934099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f1836be3b5a16e61d8c4e040605ac345ee0372feb13fff2779c7ee1f68b3d4

Aliases

arxiv: 1207.1194 · arxiv_version: 1207.1194v3 · doi: 10.48550/arxiv.1207.1194 · pith_short_12: 2XYYG27DWWQW · pith_short_16: 2XYYG27DWWQW4YOY · pith_short_8: 2XYYG27D

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/2XYYG27DWWQW4YOYYTQEAYC2YN \
  | 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: d5f1836be3b5a16e61d8c4e040605ac345ee0372feb13fff2779c7ee1f68b3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1629ebf91076326a0889265b92f55b40310817b822813e6a735093ea212ea855",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-05T08:45:43Z",
    "title_canon_sha256": "fd00832b3109d14fdc15ed9cc0a9ae21906476a5ec14e03dd284b5db4798dc67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1194",
    "kind": "arxiv",
    "version": 3
  }
}