Pith Number

pith:MRGO2S2U

pith:2010:MRGO2S2U7GU7FQGUEOCHWWI4ZE

not attested not anchored not stored refs pending

On Ergodicity, Infinite Flow and Consensus in Random Models

Angelia Nedi'c, Behrouz Touri

arxiv:1001.1890 v5 · 2010-01-12 · math.OC · math.DS · 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{MRGO2S2U7GU7FQGUEOCHWWI4ZE}

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	2026-05-18T04:13:45.915166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

644ced4b54f9a9f2c0d423847b591cc92fb7ad1fd1bf9a77f293d608e93da27b

Aliases

arxiv: 1001.1890 · arxiv_version: 1001.1890v5 · doi: 10.48550/arxiv.1001.1890 · pith_short_12: MRGO2S2U7GU7 · pith_short_16: MRGO2S2U7GU7FQGU · pith_short_8: MRGO2S2U

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/MRGO2S2U7GU7FQGUEOCHWWI4ZE \
  | 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: 644ced4b54f9a9f2c0d423847b591cc92fb7ad1fd1bf9a77f293d608e93da27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45feaacf83a8935ac2d4644563913abd99206ef5cd6aec81a50f502ff41b31a",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-01-12T14:46:55Z",
    "title_canon_sha256": "4c43ce39d1612ff78f7c7e5ec2c7d82be15b454f4178c4208f1867c8e04531bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1890",
    "kind": "arxiv",
    "version": 5
  }
}