Pith Number

pith:ZZCCHQL6

pith:2017:ZZCCHQL667ERCPP7K7ZLIEMSWF

not attested not anchored not stored refs pending

On the critical branching random walk III: the critical dimension

Qingsan Zhu

arxiv:1701.08917 v1 · 2017-01-31 · 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{ZZCCHQL667ERCPP7K7ZLIEMSWF}

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	2026-05-18T00:51:38.905562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4423c17ef7c9113dff57f2b41192b15de89c8ad5d0f402fb628f69eddc1152

Aliases

arxiv: 1701.08917 · arxiv_version: 1701.08917v1 · doi: 10.48550/arxiv.1701.08917 · pith_short_12: ZZCCHQL667ER · pith_short_16: ZZCCHQL667ERCPP7 · pith_short_8: ZZCCHQL6

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/ZZCCHQL667ERCPP7K7ZLIEMSWF \
  | 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: ce4423c17ef7c9113dff57f2b41192b15de89c8ad5d0f402fb628f69eddc1152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d830f2d88638f9e8b4516b5249987b48b8584fe8844e2d26abce539790330e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-31T05:05:22Z",
    "title_canon_sha256": "58559bd347d907f7d58508450b10c36d1a56c4c7d74a7f41ce36bf215f80a118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08917",
    "kind": "arxiv",
    "version": 1
  }
}