Pith Number

pith:2DUAYVPF

pith:2017:2DUAYVPFQPR52UCNRI7FRSBFZM

not attested not anchored not stored refs pending

Bridges with random length: Gaussian-Markovian case

Mohamed Erraoui, Mohammed Louriki

arxiv:1711.02467 v1 · 2017-11-07 · 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{2DUAYVPFQPR52UCNRI7FRSBFZM}

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	2026-05-18T00:31:07.839055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e80c55e583e3dd504d8a3e58c825cb223bdaf8b7cf5cbe2f976222c422dccb

Aliases

arxiv: 1711.02467 · arxiv_version: 1711.02467v1 · doi: 10.48550/arxiv.1711.02467 · pith_short_12: 2DUAYVPFQPR5 · pith_short_16: 2DUAYVPFQPR52UCN · pith_short_8: 2DUAYVPF

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/2DUAYVPFQPR52UCNRI7FRSBFZM \
  | 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: d0e80c55e583e3dd504d8a3e58c825cb223bdaf8b7cf5cbe2f976222c422dccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf854c80e95ecedc6f3a72df180eec83b0b3756849e1c56ebf0e0f8978ed4762",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-07T13:54:48Z",
    "title_canon_sha256": "7a072da93152f6c0df774cea9466203df6827f86e9c6a3541d0ec4c915a08861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02467",
    "kind": "arxiv",
    "version": 1
  }
}