Pith Number

pith:I24H4VR6

pith:2016:I24H4VR6DPGKTVVHE7FOAEAXOB

not attested not anchored not stored refs pending

Mixing of the exclusion process with small bias

David A. Levin, Yuval Peres

arxiv:1608.03633 v1 · 2016-08-11 · 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{I24H4VR6DPGKTVVHE7FOAEAXOB}

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	2026-05-18T00:54:19.860673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b87e563e1bcca9d6a727cae0101770608e59aa9390e31794d57b8471248e93

Aliases

arxiv: 1608.03633 · arxiv_version: 1608.03633v1 · doi: 10.48550/arxiv.1608.03633 · pith_short_12: I24H4VR6DPGK · pith_short_16: I24H4VR6DPGKTVVH · pith_short_8: I24H4VR6

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/I24H4VR6DPGKTVVHE7FOAEAXOB \
  | 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: 46b87e563e1bcca9d6a727cae0101770608e59aa9390e31794d57b8471248e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cfd093b544c1d9e6900e9023f3f01c8eb5202f86a34db03fb0933351c6bd91c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-11T23:05:04Z",
    "title_canon_sha256": "92826ea901c38913e3a54160745f812fbcfb7503df27ca0e957edcdb0ba685c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03633",
    "kind": "arxiv",
    "version": 1
  }
}