pith. sign in
Pith Number

pith:UWQWQ5R4

pith:2010:UWQWQ5R444TLO7P6G6ZI4PPVIO
not attested not anchored not stored refs pending

Branch lengths on Yule trees and the expected loss of phylogenetic diversity

Arne Mooers, Heyang Li, Mike Steel, Olivier Gascuel, Tanja Stadler

arxiv:1011.5539 v2 · 2010-11-25 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UWQWQ5R444TLO7P6G6ZI4PPVIO}

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 2026-05-18T04:16:32.110563Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a5a168763ce726b77dfe37b28e3df543aa904380c48426947f92fd8e3fe930b0

Aliases

arxiv: 1011.5539 · arxiv_version: 1011.5539v2 · doi: 10.48550/arxiv.1011.5539 · pith_short_12: UWQWQ5R444TL · pith_short_16: UWQWQ5R444TLO7P6 · pith_short_8: UWQWQ5R4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UWQWQ5R444TLO7P6G6ZI4PPVIO \
  | 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: a5a168763ce726b77dfe37b28e3df543aa904380c48426947f92fd8e3fe930b0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6bd303b28c2fa80d0237371446c4b80c697b3486f31e335154cf3169852b133a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2010-11-25T01:03:37Z",
    "title_canon_sha256": "d707c4bec7ef84786b445381a04539e4710581c18c56e0c963afc3e324053672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5539",
    "kind": "arxiv",
    "version": 2
  }
}