Pith Number

pith:EUEZ2IRD

pith:2011:EUEZ2IRDW7M52ZJKH5YXAV32PM

not attested not anchored not stored refs pending

Product of Random Stochastic Matrices

Angelia Nedich, Behrouz Touri

arxiv:1110.1751 v2 · 2011-10-08 · 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{EUEZ2IRDW7M52ZJKH5YXAV32PM}

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	2026-05-18T03:36:37.111356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25099d2223b7d9dd652a3f7170577a7b39278f61c5bfcbf0183860cdad5698a4

Aliases

arxiv: 1110.1751 · arxiv_version: 1110.1751v2 · doi: 10.48550/arxiv.1110.1751 · pith_short_12: EUEZ2IRDW7M5 · pith_short_16: EUEZ2IRDW7M52ZJK · pith_short_8: EUEZ2IRD

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/EUEZ2IRDW7M52ZJKH5YXAV32PM \
  | 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: 25099d2223b7d9dd652a3f7170577a7b39278f61c5bfcbf0183860cdad5698a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45fb70f2faaa6b9187f4a794cff206717133b9b3eac645ec1e57595118eed421",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-08T17:43:00Z",
    "title_canon_sha256": "cd3b863c1db7a5529c106d5e5ebe2ab6da8a9b33fac86087e2bcd7b8200e67fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1751",
    "kind": "arxiv",
    "version": 2
  }
}