Pith Number

pith:Z2Q7QDNJ

pith:2011:Z2Q7QDNJEZ56OBQ6IJMPXO7XPG

not attested not anchored not stored refs pending

Plumes in kinetic transport: how the simple random walk can be too simple

Annegreet van Opbroek, Derong Kong, Michel Dekking

arxiv:1110.3178 v3 · 2011-10-14 · 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{Z2Q7QDNJEZ56OBQ6IJMPXO7XPG}

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	2026-05-18T01:36:02.362418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea1f80da9267be7061e4258fbbbf7799ff560ce023d153c97083a56a534b165

Aliases

arxiv: 1110.3178 · arxiv_version: 1110.3178v3 · doi: 10.48550/arxiv.1110.3178 · pith_short_12: Z2Q7QDNJEZ56 · pith_short_16: Z2Q7QDNJEZ56OBQ6 · pith_short_8: Z2Q7QDNJ

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/Z2Q7QDNJEZ56OBQ6IJMPXO7XPG \
  | 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: cea1f80da9267be7061e4258fbbbf7799ff560ce023d153c97083a56a534b165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29709d1306b33a748d2808cc5e35db92a70abc6d932c85d19b761c32b5477755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-14T11:52:37Z",
    "title_canon_sha256": "bc21604f44f7b754f7ec0c178dfd73547f63c222f4b0e008c9714ca58c5b659b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3178",
    "kind": "arxiv",
    "version": 3
  }
}