Pith Number

pith:V5LOAKTA

pith:2015:V5LOAKTAQMJ3NSGPVVO2WHQT6O

not attested not anchored not stored refs pending

Brownian motion and Random Walk above Quenched Random Wall

Bastien Mallein, Piotr Mi{\l}o\'s

arxiv:1507.08578 v3 · 2015-07-30 · 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{V5LOAKTAQMJ3NSGPVVO2WHQT6O}

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	2026-05-17T23:45:53.751123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af56e02a608313b6c8cfad5dab1e13f3a1db90a380e7cf274bd58c684727533c

Aliases

arxiv: 1507.08578 · arxiv_version: 1507.08578v3 · doi: 10.48550/arxiv.1507.08578 · pith_short_12: V5LOAKTAQMJ3 · pith_short_16: V5LOAKTAQMJ3NSGP · pith_short_8: V5LOAKTA

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/V5LOAKTAQMJ3NSGPVVO2WHQT6O \
  | 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: af56e02a608313b6c8cfad5dab1e13f3a1db90a380e7cf274bd58c684727533c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9365fa1869c3bc2c6e9e410f98c6feb5b69097375cc30a493966d6c566d513a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-30T16:50:11Z",
    "title_canon_sha256": "005992c0806d1a1ce8a30325e099307e29b814772319feba5ef503a3155b3c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08578",
    "kind": "arxiv",
    "version": 3
  }
}