Pith Number

pith:2R664Q7J

pith:2011:2R664Q7J2IP3BGZ2QQOBLMR7DT

not attested not anchored not stored refs pending

Stationary distribution and cover time of random walks on random digraphs

Alan Frieze, Colin Cooper

arxiv:1103.4317 v1 · 2011-03-22 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2R664Q7J2IP3BGZ2QQOBLMR7DT}

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	2026-05-18T04:26:12.577992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d47dee43e9d21fb09b3a841c15b23f1cd3559c5b81a8804f5c131ceafb76af2c

Aliases

arxiv: 1103.4317 · arxiv_version: 1103.4317v1 · doi: 10.48550/arxiv.1103.4317 · pith_short_12: 2R664Q7J2IP3 · pith_short_16: 2R664Q7J2IP3BGZ2 · pith_short_8: 2R664Q7J

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/2R664Q7J2IP3BGZ2QQOBLMR7DT \
  | 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: d47dee43e9d21fb09b3a841c15b23f1cd3559c5b81a8804f5c131ceafb76af2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "625dd8a048064d9a0a75ab3d4328636e5c66e3fc6d22f265db4363ade7859bf0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-22T17:24:54Z",
    "title_canon_sha256": "f8c94b2f1e72670cbd57a8c3368bed30537233095a2991106aaa52b0eed2bd77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4317",
    "kind": "arxiv",
    "version": 1
  }
}