Pith Number

pith:EQJIXWBD

pith:2008:EQJIXWBDSJYZA5CTWUHDW2Y7EE

not attested not anchored not stored refs pending

A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand

Carl Mueller, Zhixin Wu

arxiv:0808.2634 v2 · 2008-08-19 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQJIXWBDSJYZA5CTWUHDW2Y7EE}

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	2026-05-18T04:03:44.063630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24128bd8239271907453b50e3b6b1f2123412ddee6e95fcede2b825d21b0583c

Aliases

arxiv: 0808.2634 · arxiv_version: 0808.2634v2 · doi: 10.48550/arxiv.0808.2634 · pith_short_12: EQJIXWBDSJYZ · pith_short_16: EQJIXWBDSJYZA5CT · pith_short_8: EQJIXWBD

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/EQJIXWBDSJYZA5CTWUHDW2Y7EE \
  | 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: 24128bd8239271907453b50e3b6b1f2123412ddee6e95fcede2b825d21b0583c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3cef5a397ea4a36830e2b6ab795de40a43373230075adf256e4a3d93d90543",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-08-19T19:12:51Z",
    "title_canon_sha256": "ea7c1cba55caf206c45980fe215b56712d6a711161229697c8e12f4fbfaf3ca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2634",
    "kind": "arxiv",
    "version": 2
  }
}