Pith Number

pith:YOWJ664I

pith:2014:YOWJ664I3FWRB33W7Y4NE6W2TD

not attested not anchored not stored refs pending

Cycle factors and renewal theory

Eyal Lubetzky, Jeff Kahn, Nicholas Wormald

arxiv:1401.2707 v2 · 2014-01-13 · math.CO · 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{YOWJ664I3FWRB33W7Y4NE6W2TD}

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	2026-05-18T02:53:55.890489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ac9f7b88d96d10ef76fe38d27ada98e3d8d4933d495e6aaeba3ab3bc636223

Aliases

arxiv: 1401.2707 · arxiv_version: 1401.2707v2 · doi: 10.48550/arxiv.1401.2707 · pith_short_12: YOWJ664I3FWR · pith_short_16: YOWJ664I3FWRB33W · pith_short_8: YOWJ664I

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/YOWJ664I3FWRB33W7Y4NE6W2TD \
  | 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: c3ac9f7b88d96d10ef76fe38d27ada98e3d8d4933d495e6aaeba3ab3bc636223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88250877c5aca0b1a63156c27171b35dec4d882cbd1152445ef12009208e0924",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-13T04:27:39Z",
    "title_canon_sha256": "bfcd1f5ba180df60c2654622cfef6358435802d591b42bcd60e01ede52ce4b57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2707",
    "kind": "arxiv",
    "version": 2
  }
}