Pith Number

pith:WQ5CVG2K

pith:2013:WQ5CVG2KOUPWG2WPMXAMX3PWDP

not attested not anchored not stored refs pending

Absorption Time of the Moran Process

David Richerby, Josep Diaz, Leslie Ann Goldberg, Maria Serna

arxiv:1311.7631 v3 · 2013-11-29 · cs.DM · cs.DS · 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{WQ5CVG2KOUPWG2WPMXAMX3PWDP}

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	2026-05-18T02:43:00.691060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43a2a9b4a751f636acf65c0cbedf61be09a76056c20a2798a615bad904809ac

Aliases

arxiv: 1311.7631 · arxiv_version: 1311.7631v3 · doi: 10.48550/arxiv.1311.7631 · pith_short_12: WQ5CVG2KOUPW · pith_short_16: WQ5CVG2KOUPWG2WP · pith_short_8: WQ5CVG2K

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/WQ5CVG2KOUPWG2WPMXAMX3PWDP \
  | 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: b43a2a9b4a751f636acf65c0cbedf61be09a76056c20a2798a615bad904809ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe594c7708b2a69230dae65a16f7e26d8e3e9f83bbffd09a0b35207206dc71ac",
    "cross_cats_sorted": [
      "cs.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-11-29T16:53:32Z",
    "title_canon_sha256": "dd5202b192f2ad605691ebcb3d5bc0ca92885ea00e3a658079d4b2e3a5e84d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7631",
    "kind": "arxiv",
    "version": 3
  }
}