Pith Number

pith:2YEWDHD7

pith:2016:2YEWDHD7AHS3VHG3AWNUIWZCIG

not attested not anchored not stored refs pending

Fringe trees, Crump-Mode-Jagers branching processes and $m$-ary search trees

Cecilia Holmgren, Svante Janson

arxiv:1601.03691 v1 · 2016-01-14 · 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{2YEWDHD7AHS3VHG3AWNUIWZCIG}

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	2026-05-18T01:22:52.826570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d609619c7f01e5ba9cdb059b445b2241a8a51d86cda0c5c348a9bd612e6a3066

Aliases

arxiv: 1601.03691 · arxiv_version: 1601.03691v1 · doi: 10.48550/arxiv.1601.03691 · pith_short_12: 2YEWDHD7AHS3 · pith_short_16: 2YEWDHD7AHS3VHG3 · pith_short_8: 2YEWDHD7

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/2YEWDHD7AHS3VHG3AWNUIWZCIG \
  | 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: d609619c7f01e5ba9cdb059b445b2241a8a51d86cda0c5c348a9bd612e6a3066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c10d05fa4592be405cdb2e183c678e6b8b023b7d96d4daa3e4cca2462b4c9c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-14T18:46:16Z",
    "title_canon_sha256": "3d9df1f5dcf9061acbfb6f82840f779e0c796233da4ffcdf61f7ef0500609dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03691",
    "kind": "arxiv",
    "version": 1
  }
}