Pith Number

pith:64BJOBHI

pith:2013:64BJOBHIMJXKI4CDE2U2W7S3UP

not attested not anchored not stored refs pending

Random walks on dynamical percolation: mixing times, mean squared displacement and hitting times

Alexandre Stauffer, Jeffrey E. Steif, Yuval Peres

arxiv:1308.6193 v1 · 2013-08-28 · 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{64BJOBHIMJXKI4CDE2U2W7S3UP}

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	2026-05-18T03:14:48.849904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7029704e8626ea4704326a9ab7e5ba3eff17dab22261c3e0177b0ba6e4f0e8b

Aliases

arxiv: 1308.6193 · arxiv_version: 1308.6193v1 · doi: 10.48550/arxiv.1308.6193 · pith_short_12: 64BJOBHIMJXK · pith_short_16: 64BJOBHIMJXKI4CD · pith_short_8: 64BJOBHI

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/64BJOBHIMJXKI4CDE2U2W7S3UP \
  | 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: f7029704e8626ea4704326a9ab7e5ba3eff17dab22261c3e0177b0ba6e4f0e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10299cf72580f47ca59b6be164b6e8a99229ddbda1cb46bd8c753e9a0283b251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-28T16:03:50Z",
    "title_canon_sha256": "1ab6379a11bd1bbde598ef47e9f4b46e7bcd3f019617b9a58f115bf7ff519271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6193",
    "kind": "arxiv",
    "version": 1
  }
}