Pith Number

pith:22EX6ZQX

pith:2016:22EX6ZQXNMY7VUANQAV2XG6WQB

not attested not anchored not stored refs pending

The quadratic covariation for a weighted fractional Brownian motion

Litan Yan, Qinghua Zhang, Xichao Sun

arxiv:1603.01720 v1 · 2016-03-05 · 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{22EX6ZQXNMY7VUANQAV2XG6WQB}

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	2026-05-18T01:19:34.936388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6897f66176b31fad00d802bab9bd6806672550d8906d26287908442d3e3fb4b

Aliases

arxiv: 1603.01720 · arxiv_version: 1603.01720v1 · doi: 10.48550/arxiv.1603.01720 · pith_short_12: 22EX6ZQXNMY7 · pith_short_16: 22EX6ZQXNMY7VUAN · pith_short_8: 22EX6ZQX

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/22EX6ZQXNMY7VUANQAV2XG6WQB \
  | 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: d6897f66176b31fad00d802bab9bd6806672550d8906d26287908442d3e3fb4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d923b41e29ee73bb8b318e7db028dc80506e5b38698c85d15e626404be9097a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-05T12:38:12Z",
    "title_canon_sha256": "8798bcd9ca9ca166ec53ae6422621839caf5d59a8ac67bbc2b20efd4644ac251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01720",
    "kind": "arxiv",
    "version": 1
  }
}