Pith Number

pith:XBTQAJK6

pith:2015:XBTQAJK6CXEZKODZA2HGV7USME

not attested not anchored not stored refs pending

The power of averaging at two consecutive time steps: Proof of a mixing conjecture by Aldous and Fill

Jonathan Hermon, Yuval Peres

arxiv:1508.04836 v3 · 2015-08-19 · 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{XBTQAJK6CXEZKODZA2HGV7USME}

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	2026-05-18T00:25:06.033421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b86700255e15c9953879068e6afe9261350c65a3385ced2d18c41506f5ab1b6e

Aliases

arxiv: 1508.04836 · arxiv_version: 1508.04836v3 · doi: 10.48550/arxiv.1508.04836 · pith_short_12: XBTQAJK6CXEZ · pith_short_16: XBTQAJK6CXEZKODZ · pith_short_8: XBTQAJK6

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/XBTQAJK6CXEZKODZA2HGV7USME \
  | 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: b86700255e15c9953879068e6afe9261350c65a3385ced2d18c41506f5ab1b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4595082e3208dd679110e1ee8165551ce305d74d0111efac45880e4da8c0bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-19T23:59:27Z",
    "title_canon_sha256": "7379a9923ec23ae902ae8f4c79a091d5e6e7b677388af78a72c824731a598e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04836",
    "kind": "arxiv",
    "version": 3
  }
}