Pith Number

pith:CUCJQL3L

pith:2018:CUCJQL3LBNQUMWZMWQNCQAFZ4E

not attested not anchored not stored refs pending

Ergodicity in Stationary Graph Processes: A Weak Law of Large Numbers

Alejandro Ribeiro, Fernando Gama

arxiv:1803.04550 v2 · 2018-03-12 · eess.SP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUCJQL3LBNQUMWZMWQNCQAFZ4E}

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	2026-05-17T23:45:40.957371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1504982f6b0b61465b2cb41a2800b9e11c68268d4916f96beab654908d610615

Aliases

arxiv: 1803.04550 · arxiv_version: 1803.04550v2 · doi: 10.48550/arxiv.1803.04550 · pith_short_12: CUCJQL3LBNQU · pith_short_16: CUCJQL3LBNQUMWZM · pith_short_8: CUCJQL3L

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/CUCJQL3LBNQUMWZMWQNCQAFZ4E \
  | 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: 1504982f6b0b61465b2cb41a2800b9e11c68268d4916f96beab654908d610615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26faddc45477ffefbd2bb47e3564a0c98f5e4939a89cb4da03345bf8708c42b2",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2018-03-12T22:00:29Z",
    "title_canon_sha256": "03bdfb3a3038a1faa3aadc70672236587ae694e0fcffdc02717c78f1e759d614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04550",
    "kind": "arxiv",
    "version": 2
  }
}