Pith Number

pith:EM7NJ5BT

pith:2011:EM7NJ5BTU5YNAEYM2CQNIHB5HU

not attested not anchored not stored refs pending

On Backward Product of Stochastic Matrices

Angelia Nedic, Behrouz Touri

arxiv:1102.0244 v2 · 2011-02-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EM7NJ5BTU5YNAEYM2CQNIHB5HU}

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	2026-05-18T04:13:39.307027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233ed4f433a770d0130cd0a0d41c3d3d10b31209a48785fda5e50ae406078384

Aliases

arxiv: 1102.0244 · arxiv_version: 1102.0244v2 · doi: 10.48550/arxiv.1102.0244 · pith_short_12: EM7NJ5BTU5YN · pith_short_16: EM7NJ5BTU5YNAEYM · pith_short_8: EM7NJ5BT

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/EM7NJ5BTU5YNAEYM2CQNIHB5HU \
  | 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: 233ed4f433a770d0130cd0a0d41c3d3d10b31209a48785fda5e50ae406078384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c58e1a78b02b82dc6aa67b176a2c4be25d812fce3cb284acbf91d815ba5642d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-01T18:35:35Z",
    "title_canon_sha256": "f3606ecd1c10b818071f5af4acf6ec90712acf5ec6f344775e8dcb50793ad7ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0244",
    "kind": "arxiv",
    "version": 2
  }
}