Pith Number

pith:3VZDRYJ5

pith:2016:3VZDRYJ5FAHGJ2M2XJWXWUMECK

not attested not anchored not stored refs pending

On the critical branching random walk I: Branching capacity and visiting probability

Qingsan Zhu

arxiv:1611.10324 v2 · 2016-11-30 · 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{3VZDRYJ5FAHGJ2M2XJWXWUMECK}

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.

Cited by

1 paper in Pith

Multipoint connectivity in the branching interlacement process

Receipt and verification

First computed	2026-05-18T00:51:41.922871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd7238e13d280e64e99aba6d7b518412ab4cb565f2943794a573a5789dd828f4

Aliases

arxiv: 1611.10324 · arxiv_version: 1611.10324v2 · doi: 10.48550/arxiv.1611.10324 · pith_short_12: 3VZDRYJ5FAHG · pith_short_16: 3VZDRYJ5FAHGJ2M2 · pith_short_8: 3VZDRYJ5

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/3VZDRYJ5FAHGJ2M2XJWXWUMECK \
  | 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: dd7238e13d280e64e99aba6d7b518412ab4cb565f2943794a573a5789dd828f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d205d303f360c129b742fee701420bf7834ecddf15c7ad6f0cfc2f2dc4b2ba6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-30T19:28:09Z",
    "title_canon_sha256": "c2bca7cdb18635452c5c6aaa485081d7fc1b54d79253e6c4bd8ba909a5b814f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10324",
    "kind": "arxiv",
    "version": 2
  }
}