Pith Number

pith:QZZQ27YP

pith:2012:QZZQ27YPSUOWMO5XG4NF76Z36R

not attested not anchored not stored refs pending

A quadratic kernel for computing the hybridization number of multiple trees

Leo van Iersel, Simone Linz

arxiv:1203.4067 v1 · 2012-03-19 · q-bio.PE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZZQ27YPSUOWMO5XG4NF76Z36R}

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	2026-05-18T03:59:48.355844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86730d7f0f951d663bb7371a5ffb3bf44bdc463f2b54beebf43b249b0c051604

Aliases

arxiv: 1203.4067 · arxiv_version: 1203.4067v1 · doi: 10.48550/arxiv.1203.4067 · pith_short_12: QZZQ27YPSUOW · pith_short_16: QZZQ27YPSUOWMO5X · pith_short_8: QZZQ27YP

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/QZZQ27YPSUOWMO5XG4NF76Z36R \
  | 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: 86730d7f0f951d663bb7371a5ffb3bf44bdc463f2b54beebf43b249b0c051604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b3e7936fa205890330a1663ef8c78c74736d0b7e4176edf53e7d4612281fa3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-03-19T09:50:43Z",
    "title_canon_sha256": "adc1f399630f1f2484a95cf9659909ab7f9f895fedb63d40a5328ad4756de602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4067",
    "kind": "arxiv",
    "version": 1
  }
}