Pith Number

pith:XUNKG63W

pith:2013:XUNKG63W3FK2F32AJPDAXWRHED

not attested not anchored not stored refs pending

Some limiting laws associated with the integrated Brownian motion

Christophe Profeta

arxiv:1307.1395 v1 · 2013-07-04 · 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{XUNKG63W3FK2F32AJPDAXWRHED}

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	2026-05-18T03:19:13.800548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1aa37b76d955a2ef404bc60bda2720dec4abf6ffd35f875e9507d2f541e4ed

Aliases

arxiv: 1307.1395 · arxiv_version: 1307.1395v1 · doi: 10.48550/arxiv.1307.1395 · pith_short_12: XUNKG63W3FK2 · pith_short_16: XUNKG63W3FK2F32A · pith_short_8: XUNKG63W

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/XUNKG63W3FK2F32AJPDAXWRHED \
  | 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: bd1aa37b76d955a2ef404bc60bda2720dec4abf6ffd35f875e9507d2f541e4ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27f3be650c429b4c2ebd2c212319403eafc91c5e9bfdfe2ed74780d1637d9a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-04T16:26:04Z",
    "title_canon_sha256": "35e3e95342ecdff59ed25b457063eed20138ee24f748dd4703f554377ddb19a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1395",
    "kind": "arxiv",
    "version": 1
  }
}