Pith Number

pith:JB7EXNP6

pith:2015:JB7EXNP6HRR2VYTJZC5NB2V63Y

not attested not anchored not stored refs pending

Convergence of random walks to Brownian motion on cubical complexes

Tom M. W. Nye

arxiv:1508.02906 v4 · 2015-08-12 · q-bio.PE · 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{JB7EXNP6HRR2VYTJZC5NB2V63Y}

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.

Cited by

1 paper in Pith

Properties for the Frechet Mean in Billera-Holmes-Vogtmann Treespace

Receipt and verification

First computed	2026-05-17T23:45:26.338623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487e4bb5fe3c63aae269c8bad0eabede27a8437c93e9dd0bab1948fd237ea0d6

Aliases

arxiv: 1508.02906 · arxiv_version: 1508.02906v4 · doi: 10.48550/arxiv.1508.02906 · pith_short_12: JB7EXNP6HRR2 · pith_short_16: JB7EXNP6HRR2VYTJ · pith_short_8: JB7EXNP6

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/JB7EXNP6HRR2VYTJZC5NB2V63Y \
  | 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: 487e4bb5fe3c63aae269c8bad0eabede27a8437c93e9dd0bab1948fd237ea0d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee2f22e67dfc8fcf8e0265bfda9c42ca5817f68c2479350fd4feccb68cbb3159",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2015-08-12T13:11:18Z",
    "title_canon_sha256": "e2be27b5eefbaccfe454271f4e3773b7625a0c09e08bbc257b7a9452cf47cff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02906",
    "kind": "arxiv",
    "version": 4
  }
}