Pith Number

pith:GUFJ2JTR

pith:2011:GUFJ2JTRPLWGZBKF2FXCMAWO3G

not attested not anchored not stored refs pending

An invariance principle for fractional Brownian sheets

Yizao Wang

arxiv:1109.5160 v3 · 2011-09-23 · 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{GUFJ2JTRPLWGZBKF2FXCMAWO3G}

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	2026-05-18T03:33:50.250536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

350a9d26717aec6c8545d16e2602ced9b65b88bfb0868fbd2d67173d68bab7cf

Aliases

arxiv: 1109.5160 · arxiv_version: 1109.5160v3 · doi: 10.48550/arxiv.1109.5160 · pith_short_12: GUFJ2JTRPLWG · pith_short_16: GUFJ2JTRPLWGZBKF · pith_short_8: GUFJ2JTR

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/GUFJ2JTRPLWGZBKF2FXCMAWO3G \
  | 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: 350a9d26717aec6c8545d16e2602ced9b65b88bfb0868fbd2d67173d68bab7cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ccc36dd22c7cc41ab5f22d49fbcd9f70fa1835845d76bad3ea183a1d8377ffd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-23T19:08:30Z",
    "title_canon_sha256": "0856499688ebdb9eb34f2862763fb03c247cf93c43fc2acc654fea0450652093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5160",
    "kind": "arxiv",
    "version": 3
  }
}