Pith Number

pith:X3ZNYZWH

pith:2020:X3ZNYZWHEYSRD2TPC4RQY3XMCV

not attested not anchored not stored refs pending

Revisiting Shao and Sokal's $B_2$ index of phylogenetic balance

Celine Scornavacca, Fran\c{c}ois Bienvenu, Gabriel Cardona

arxiv:2010.08079 v2 · 2020-10-16 · q-bio.PE · math.CO · 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{X3ZNYZWHEYSRD2TPC4RQY3XMCV}

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	2026-07-05T05:15:08.080708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bef2dc66c7262511ea6f17230c6eec157c712a83d7fd8fa61c8446891ec6704f

Aliases

arxiv: 2010.08079 · arxiv_version: 2010.08079v2 · doi: 10.48550/arxiv.2010.08079 · pith_short_12: X3ZNYZWHEYSR · pith_short_16: X3ZNYZWHEYSRD2TP · pith_short_8: X3ZNYZWH

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/X3ZNYZWHEYSRD2TPC4RQY3XMCV \
  | 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: bef2dc66c7262511ea6f17230c6eec157c712a83d7fd8fa61c8446891ec6704f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a5b2e2eecfe2a1807921ad674b50042b9fd1f21d9b7a6bdba117a356183668a",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2020-10-16T00:41:01Z",
    "title_canon_sha256": "1525f388baec37951c7faaa0d0c522a7a6886946114ccdc0bd6081c3e26828ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.08079",
    "kind": "arxiv",
    "version": 2
  }
}