Pith Number

pith:ZZFZS6BY

pith:2012:ZZFZS6BYM44JBJTDQZMP2HKLZT

not attested not anchored not stored refs pending

A simple fixed parameter tractable algorithm for computing the hybridization number of two (not necessarily binary) trees

Steven Kelk, Teresa Piovesan

arxiv:1207.6090 v1 · 2012-07-25 · q-bio.QM · math.CO · 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{ZZFZS6BYM44JBJTDQZMP2HKLZT}

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	2026-05-18T03:50:09.527769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4b997838673890a6638658fd1d4bccf8b7948e14e6f191e9b5de0a99d888a5

Aliases

arxiv: 1207.6090 · arxiv_version: 1207.6090v1 · doi: 10.48550/arxiv.1207.6090 · pith_short_12: ZZFZS6BYM44J · pith_short_16: ZZFZS6BYM44JBJTD · pith_short_8: ZZFZS6BY

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/ZZFZS6BYM44JBJTDQZMP2HKLZT \
  | 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: ce4b997838673890a6638658fd1d4bccf8b7948e14e6f191e9b5de0a99d888a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f378dd633d0222b71226d5ffdbc49afb9db4c974648aa671d8786822e85cb3b2",
    "cross_cats_sorted": [
      "math.CO",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2012-07-25T19:11:42Z",
    "title_canon_sha256": "929103226228aa556847b1978c7cd3c469c3d4a417d8866da431feae89cea26a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6090",
    "kind": "arxiv",
    "version": 1
  }
}