Pith Number

pith:QYEJNUDD

pith:2017:QYEJNUDDZJJKLQSCRJCCDPLN2K

not attested not anchored not stored refs pending

Comparing mixing times on sparse random graphs

Anna Ben-Hamou, Eyal Lubetzky, Yuval Peres

arxiv:1707.04784 v2 · 2017-07-15 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYEJNUDDZJJKLQSCRJCCDPLN2K}

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	2026-05-18T00:16:50.661041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860896d063ca52a5c2428a4421bd6dd28c71ef816c6b52bb95f46059348bf3d5

Aliases

arxiv: 1707.04784 · arxiv_version: 1707.04784v2 · doi: 10.48550/arxiv.1707.04784 · pith_short_12: QYEJNUDDZJJK · pith_short_16: QYEJNUDDZJJKLQSC · pith_short_8: QYEJNUDD

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/QYEJNUDDZJJKLQSCRJCCDPLN2K \
  | 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: 860896d063ca52a5c2428a4421bd6dd28c71ef816c6b52bb95f46059348bf3d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ad326ec501d562a84a3831df892003958399a866e44341a1f29d67c1e1ae62",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-15T20:16:07Z",
    "title_canon_sha256": "da46ffff0c992e4eecfd03e087f074fa7b4a78847366dfd6b9f6bd364b561b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04784",
    "kind": "arxiv",
    "version": 2
  }
}