Pith Number

pith:VD4A26BV

pith:2022:VD4A26BVCKUQS3VHRXYHS2E74I

not attested not anchored not stored refs pending

Ultrafast learning of 4-node hybridization cycles in phylogenetic networks using algebraic invariants

Claudia Solis-Lemus, Zhaoxing Wu

arxiv:2211.16647 v3 · 2022-11-30 · q-bio.PE · math.AG · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VD4A26BVCKUQS3VHRXYHS2E74I}

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	2026-07-05T07:10:45.535955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f80d783512a9096ea78df079689fe212b50a0966096b3b8075fbb97ba4cfed

Aliases

arxiv: 2211.16647 · arxiv_version: 2211.16647v3 · doi: 10.48550/arxiv.2211.16647 · pith_short_12: VD4A26BVCKUQ · pith_short_16: VD4A26BVCKUQS3VH · pith_short_8: VD4A26BV

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/VD4A26BVCKUQS3VHRXYHS2E74I \
  | 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: a8f80d783512a9096ea78df079689fe212b50a0966096b3b8075fbb97ba4cfed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58499f9c849b88121d0db3af2a4469a841bc5e6683806c5079380639347ebf5d",
    "cross_cats_sorted": [
      "math.AG",
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2022-11-30T00:29:07Z",
    "title_canon_sha256": "19ec38f7240ff16055f4f8a1966cdecb0670f02e9079dd477dda349a340897ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.16647",
    "kind": "arxiv",
    "version": 3
  }
}