Pith Number

pith:SY5AC6XM

pith:2016:SY5AC6XMN2BT64SMOQL6W6W375

not attested not anchored not stored refs pending

Functional It\^o formula for fractional Brownian motion

Jiaqiang Wen, Yufeng Shi

arxiv:1606.01442 v2 · 2016-06-05 · 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{SY5AC6XMN2BT64SMOQL6W6W375}

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	2026-05-18T01:09:57.366073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

963a017aec6e833f724c7417eb7adbff54d59cb3ce29f858b04db923995f9500

Aliases

arxiv: 1606.01442 · arxiv_version: 1606.01442v2 · doi: 10.48550/arxiv.1606.01442 · pith_short_12: SY5AC6XMN2BT · pith_short_16: SY5AC6XMN2BT64SM · pith_short_8: SY5AC6XM

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/SY5AC6XMN2BT64SMOQL6W6W375 \
  | 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: 963a017aec6e833f724c7417eb7adbff54d59cb3ce29f858b04db923995f9500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a29b24fae3b7967227c71b262229df5ecd34537b9d9258daebaf2227be287a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-05T01:52:35Z",
    "title_canon_sha256": "e1c29fa55f879de6d3250f6b4db962d0d62e45954f98b656493e39e7bc9c2cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01442",
    "kind": "arxiv",
    "version": 2
  }
}