Pith Number

pith:JMK72OYP

pith:2016:JMK72OYPINIUU2VWG2UE5BTX45

not attested not anchored not stored refs pending

Multivariate normal limit laws for the numbers of fringe subtrees in $ m $-ary search trees and preferential attachment trees

Cecilia Holmgren, Matas \v{S}ileikis, Svante Janson

arxiv:1603.08125 v1 · 2016-03-26 · 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{JMK72OYPINIUU2VWG2UE5BTX45}

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	2026-05-18T01:18:13.187467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b15fd3b0f43514a6ab636a84e8677e759bf7cee1cf7f13d0760d16f67eb4970

Aliases

arxiv: 1603.08125 · arxiv_version: 1603.08125v1 · doi: 10.48550/arxiv.1603.08125 · pith_short_12: JMK72OYPINIU · pith_short_16: JMK72OYPINIUU2VW · pith_short_8: JMK72OYP

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/JMK72OYPINIUU2VWG2UE5BTX45 \
  | 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: 4b15fd3b0f43514a6ab636a84e8677e759bf7cee1cf7f13d0760d16f67eb4970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada0fb7bf87ea557388f3d47b3149d6554ed17d93fb0c979d3a1f5e14b02d598",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-26T17:38:20Z",
    "title_canon_sha256": "51bda8a50c5aa858e0ddf26ed1ddb3826d14143ade8abfdebe40d6dabcac4abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08125",
    "kind": "arxiv",
    "version": 1
  }
}