Pith Number

pith:I4O3MIRM

pith:2010:I4O3MIRM5YKTXC4XNUUHTBVEUN

not attested not anchored not stored refs pending

Properties of Uniform Doubly Stochastic Matrices

Allan Sly, Persi Diaconis, Sourav Chatterjee

arxiv:1010.6136 v1 · 2010-10-29 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4O3MIRM5YKTXC4XNUUHTBVEUN}

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	2026-05-18T04:38:07.415782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

471db6222cee153b8b976d287986a4a37a2ebc4df2f4281e2a907a5c97dfddfd

Aliases

arxiv: 1010.6136 · arxiv_version: 1010.6136v1 · doi: 10.48550/arxiv.1010.6136 · pith_short_12: I4O3MIRM5YKT · pith_short_16: I4O3MIRM5YKTXC4X · pith_short_8: I4O3MIRM

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/I4O3MIRM5YKTXC4XNUUHTBVEUN \
  | 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: 471db6222cee153b8b976d287986a4a37a2ebc4df2f4281e2a907a5c97dfddfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebf32ddfa3b084aaddf28d6229bad9f4dd304983660bcc259789c2e679a91f43",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-29T06:58:54Z",
    "title_canon_sha256": "706576f660724d06d3c6296f47256c0120d7f318d7cc6c1a85616fa26858dd0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6136",
    "kind": "arxiv",
    "version": 1
  }
}