Pith Number

pith:44JJTX4F

pith:2015:44JJTX4FGC7GDCNMQOSGIRLN22

not attested not anchored not stored refs pending

Control Problem on Space of Random Variables and Master Equation

Alain Bensoussan, Phillip Yam

arxiv:1508.00713 v1 · 2015-08-04 · math.OC · math.AP · 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{44JJTX4FGC7GDCNMQOSGIRLN22}

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	2026-05-18T01:35:53.561960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71299df8530be6189ac83a464456dd6800e41be9e3fdb79b56862b03ec9137f

Aliases

arxiv: 1508.00713 · arxiv_version: 1508.00713v1 · doi: 10.48550/arxiv.1508.00713 · pith_short_12: 44JJTX4FGC7G · pith_short_16: 44JJTX4FGC7GDCNM · pith_short_8: 44JJTX4F

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/44JJTX4FGC7GDCNMQOSGIRLN22 \
  | 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: e71299df8530be6189ac83a464456dd6800e41be9e3fdb79b56862b03ec9137f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65f1b0ca17d3021319079f5919b8eaf832cccd9fa6cbc478deeca82c1fd6affd",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-04T09:31:40Z",
    "title_canon_sha256": "94b04fe2f619c9a7236c467b59568d78708bd0590672f3ae2851c63f46bebb09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00713",
    "kind": "arxiv",
    "version": 1
  }
}