Pith Number

pith:6IARS3PK

pith:2014:6IARS3PKCFXPAK6RI5557NKITK

not attested not anchored not stored refs pending

Four Random Permutations Conjugated by an Adversary Generate $S_n$ with High Probability

Igor Rivin, Robin Pemantle, Yuval Peres

arxiv:1412.3781 v1 · 2014-12-11 · math.PR · cs.SC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IARS3PKCFXPAK6RI5557NKITK}

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	2026-05-18T02:31:30.362555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f201196dea116ef02bd1477bdfb5489a98bd3516e6e2f2710f878d4995b9545a

Aliases

arxiv: 1412.3781 · arxiv_version: 1412.3781v1 · doi: 10.48550/arxiv.1412.3781 · pith_short_12: 6IARS3PKCFXP · pith_short_16: 6IARS3PKCFXPAK6R · pith_short_8: 6IARS3PK

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/6IARS3PKCFXPAK6RI5557NKITK \
  | 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: f201196dea116ef02bd1477bdfb5489a98bd3516e6e2f2710f878d4995b9545a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20dbb437bc5453c8fa853ff0af9df31ba3ed921ed412bbf7e1875162c1f63334",
    "cross_cats_sorted": [
      "cs.SC",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-11T19:59:25Z",
    "title_canon_sha256": "bbc5dfa28326ff0a54df12ec066589ee17b10ef5214314b5d539ea17b9dd1783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3781",
    "kind": "arxiv",
    "version": 1
  }
}