Pith Number

pith:OFKHJGRY

pith:2010:OFKHJGRYTLMONSZHRHQJ7HLIMM

not attested not anchored not stored refs pending

Almost sure convergence for stochastically biased random walks on trees

Gabriel Faraud, Yueyun Hu, Zhan Shi

arxiv:1003.5505 v5 · 2010-03-29 · 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{OFKHJGRYTLMONSZHRHQJ7HLIMM}

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	2026-05-18T02:24:26.282851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7154749a389ad8e6cb2789e09f9d68632347fca3a76101a5cacfcfe16603c132

Aliases

arxiv: 1003.5505 · arxiv_version: 1003.5505v5 · doi: 10.48550/arxiv.1003.5505 · pith_short_12: OFKHJGRYTLMO · pith_short_16: OFKHJGRYTLMONSZH · pith_short_8: OFKHJGRY

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/OFKHJGRYTLMONSZHRHQJ7HLIMM \
  | 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: 7154749a389ad8e6cb2789e09f9d68632347fca3a76101a5cacfcfe16603c132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3793e26213c69e1132c9721ba714dd45f6156d5bd50363f66afdfbd27b4ce5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-29T11:32:19Z",
    "title_canon_sha256": "7d09d3a14530daf07f44947608ef5f80114d5c0e676a0161cfc1df0cd81c242a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5505",
    "kind": "arxiv",
    "version": 5
  }
}