Pith Number

pith:2BQIB3WU

pith:2017:2BQIB3WURL3S2OTOS3GLJA3X4Z

not attested not anchored not stored refs pending

A Martingale Approach for Fractional Brownian Motions and Related Path Dependent PDEs

Frederi Viens, Jianfeng Zhang

arxiv:1712.03637 v2 · 2017-12-11 · 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{2BQIB3WURL3S2OTOS3GLJA3X4Z}

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	2026-05-18T00:03:56.634348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d06080eed48af72d3a6e96ccb48377e6775126d6ef4ddf9bcc02d49c960a1e36

Aliases

arxiv: 1712.03637 · arxiv_version: 1712.03637v2 · doi: 10.48550/arxiv.1712.03637 · pith_short_12: 2BQIB3WURL3S · pith_short_16: 2BQIB3WURL3S2OTO · pith_short_8: 2BQIB3WU

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/2BQIB3WURL3S2OTOS3GLJA3X4Z \
  | 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: d06080eed48af72d3a6e96ccb48377e6775126d6ef4ddf9bcc02d49c960a1e36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f3755225a6b3d297cffa6d04c76e7cb0259d4a9f036fe3a6866beb02769cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-11T03:49:30Z",
    "title_canon_sha256": "b4c34091deaa263a6a5489bfb82921909104756253c24252d071fd78f6251123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03637",
    "kind": "arxiv",
    "version": 2
  }
}