Pith Number

pith:5VNEHW2V

pith:2010:5VNEHW2VYGEFGYU3QZVOEXZTJE

not attested not anchored not stored refs pending

The small world effect on the coalescing time of random walks

Daniela Bertacchi, Davide Borrello

arxiv:1003.3534 v2 · 2010-03-18 · 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{5VNEHW2VYGEFGYU3QZVOEXZTJE}

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	2026-05-18T04:13:55.333680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5a43db55c18853629b866ae25f33491e21bbaf57541cd1130a6ef6b71af019

Aliases

arxiv: 1003.3534 · arxiv_version: 1003.3534v2 · doi: 10.48550/arxiv.1003.3534 · pith_short_12: 5VNEHW2VYGEF · pith_short_16: 5VNEHW2VYGEFGYU3 · pith_short_8: 5VNEHW2V

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/5VNEHW2VYGEFGYU3QZVOEXZTJE \
  | 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: ed5a43db55c18853629b866ae25f33491e21bbaf57541cd1130a6ef6b71af019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad46e588af61bcd061e72d791fa8cae9bd98b95bde28277db97a890c6c895cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-18T09:29:24Z",
    "title_canon_sha256": "b603d09213015893da42159bf0300f3afc8f36c3acb2642274876dc54d1953c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3534",
    "kind": "arxiv",
    "version": 2
  }
}