Pith Number

pith:XZCN6RRM

pith:2016:XZCN6RRMZTOXAAOIW3FL7RIHCX

not attested not anchored not stored refs pending

Mean-field SDE driven by a fractional Brownian motion and related stochastic control problem

Rainer Buckdahn, Shuai Jing

arxiv:1605.09488 v2 · 2016-05-31 · 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{XZCN6RRMZTOXAAOIW3FL7RIHCX}

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	2026-05-18T00:40:46.752432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be44df462cccdd7001c8b6cabfc50715e310359477a570d8a5860970775ea4fd

Aliases

arxiv: 1605.09488 · arxiv_version: 1605.09488v2 · doi: 10.48550/arxiv.1605.09488 · pith_short_12: XZCN6RRMZTOX · pith_short_16: XZCN6RRMZTOXAAOI · pith_short_8: XZCN6RRM

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/XZCN6RRMZTOXAAOIW3FL7RIHCX \
  | 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: be44df462cccdd7001c8b6cabfc50715e310359477a570d8a5860970775ea4fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1f27f9db19810289bd67b7da2d453175365d20c7dd088e0e35362f3f0bde207",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-31T04:10:45Z",
    "title_canon_sha256": "ef6603aab20f552b7bb7c1daaa1c414e8d644b2ae62bef1bd3ee9b67edd251e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09488",
    "kind": "arxiv",
    "version": 2
  }
}