Pith Number

pith:YALAPC3I

pith:2016:YALAPC3IUBADDQYDLENWDAYQAP

not attested not anchored not stored refs pending

Diffusive estimates for random walks on stationary random graphs of polynomial growth

James R. Lee, Shirshendu Ganguly, Yuval Peres

arxiv:1609.04040 v1 · 2016-09-13 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YALAPC3IUBADDQYDLENWDAYQAP}

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	2026-05-18T01:04:40.836968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c016078b68a04031c303591b61831003e2886866a14d6c10bc6a911b6faa1c11

Aliases

arxiv: 1609.04040 · arxiv_version: 1609.04040v1 · doi: 10.48550/arxiv.1609.04040 · pith_short_12: YALAPC3IUBAD · pith_short_16: YALAPC3IUBADDQYD · pith_short_8: YALAPC3I

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/YALAPC3IUBADDQYDLENWDAYQAP \
  | 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: c016078b68a04031c303591b61831003e2886866a14d6c10bc6a911b6faa1c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b5204de3d0ec6aab06ce682cbf8ca90cf0c0098135fba1110f1b1b9d95d40b3",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-13T20:30:12Z",
    "title_canon_sha256": "8442945d59b97908350028f1652b91137a2eef3334e89eaeee9be1e6e314befe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04040",
    "kind": "arxiv",
    "version": 1
  }
}