Pith Number

pith:DGK4QCJW

pith:2017:DGK4QCJWYAYWVQPRLSXBXALT4T

not attested not anchored not stored refs pending

Cutoff for a stratified random walk on the hypercube

Anna Ben-Hamou, Yuval Peres

arxiv:1705.06153 v2 · 2017-05-17 · 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{DGK4QCJWYAYWVQPRLSXBXALT4T}

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	2026-05-18T00:05:19.820037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1995c80936c0316ac1f15cae1b8173e4eaa12be253acb21c9ce38b55bca90bb9

Aliases

arxiv: 1705.06153 · arxiv_version: 1705.06153v2 · doi: 10.48550/arxiv.1705.06153 · pith_short_12: DGK4QCJWYAYW · pith_short_16: DGK4QCJWYAYWVQPR · pith_short_8: DGK4QCJW

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/DGK4QCJWYAYWVQPRLSXBXALT4T \
  | 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: 1995c80936c0316ac1f15cae1b8173e4eaa12be253acb21c9ce38b55bca90bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6986cde9f70564618a8fab16a2433e64482710b1988623482d043c7be272056b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-17T13:37:31Z",
    "title_canon_sha256": "d937e114f0ed3f4fbf53b25993b9df752427999b0e78a6363390f8d13f27e039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06153",
    "kind": "arxiv",
    "version": 2
  }
}