Pith Number

pith:OGZ3VOFX

pith:2011:OGZ3VOFXO42R44RIDI25IP5UGH

not attested not anchored not stored refs pending

Occupation Time Fluctuations of Weakly Degenerate Branching Systems

Yimin Xiao, Yuqiang Li

arxiv:1104.0056 v1 · 2011-04-01 · 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{OGZ3VOFXO42R44RIDI25IP5UGH}

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	2026-05-18T04:16:11.874553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71b3bab8b777351e72281a35d43fb431ce2b9888b247a0caf9c7da89463b0822

Aliases

arxiv: 1104.0056 · arxiv_version: 1104.0056v1 · doi: 10.48550/arxiv.1104.0056 · pith_short_12: OGZ3VOFXO42R · pith_short_16: OGZ3VOFXO42R44RI · pith_short_8: OGZ3VOFX

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/OGZ3VOFXO42R44RIDI25IP5UGH \
  | 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: 71b3bab8b777351e72281a35d43fb431ce2b9888b247a0caf9c7da89463b0822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbaa258487d69fc872054a3b49cb486d06d57de47bfc714cf76a93e1ce4df104",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-01T01:11:10Z",
    "title_canon_sha256": "06db67649af187c55c503a39809814c03d6b25d31232af50993d356015a2951e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0056",
    "kind": "arxiv",
    "version": 1
  }
}