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Pith Number

pith:OYQBOBUT

pith:2011:OYQBOBUTUJSHE2P5NEYB4M5UHJ
not attested not anchored not stored refs pending

Asymptotically normal distribution of some tree families relevant for phylogenetics, and of partitions without singletons

Anne Kupczok, Eva Czabarka, Laszlo A. Szekely, Peter L. Erdos, Virginia Johnson

arxiv:1108.6015 v1 · 2011-08-30 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OYQBOBUTUJSHE2P5NEYB4M5UHJ}

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 2026-05-18T04:14:28.015840Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7620170693a2647269fd69301e33b43a52cd81fd573a3e8b85c1176c6cfa581c

Aliases

arxiv: 1108.6015 · arxiv_version: 1108.6015v1 · doi: 10.48550/arxiv.1108.6015 · pith_short_12: OYQBOBUTUJSH · pith_short_16: OYQBOBUTUJSHE2P5 · pith_short_8: OYQBOBUT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OYQBOBUTUJSHE2P5NEYB4M5UHJ \
  | 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: 7620170693a2647269fd69301e33b43a52cd81fd573a3e8b85c1176c6cfa581c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d779a0eb75fb7d83e620f8c2f8973da44d28e3db58388334857a816ded3cd7f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-30T17:21:41Z",
    "title_canon_sha256": "b07e7d8a0055bdc1bb5b5de4e21662861c40cff916b38c43d9e6b187c5866b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6015",
    "kind": "arxiv",
    "version": 1
  }
}