Pith Number

pith:ZIK2WIIN

pith:2025:ZIK2WIINGMLHRBZV2YT6NO2AXO

not attested not anchored not stored refs pending

Geometry of the space of phylogenetic trees with non-identical leaves

Amy D Willis, Maria Alejandra Valdez Cabrera

arxiv:2508.06747 v1 · 2025-08-08 · q-bio.PE · math.MG · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIK2WIINGMLHRBZV2YT6NO2AXO}

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	2026-07-05T11:51:06.105879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca15ab210d3316788735d627e6bb40bb96a9d84623af6b3b6403fce042c40705

Aliases

arxiv: 2508.06747 · arxiv_version: 2508.06747v1 · doi: 10.48550/arxiv.2508.06747 · pith_short_12: ZIK2WIINGMLH · pith_short_16: ZIK2WIINGMLHRBZV · pith_short_8: ZIK2WIIN

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/ZIK2WIINGMLHRBZV2YT6NO2AXO \
  | 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: ca15ab210d3316788735d627e6bb40bb96a9d84623af6b3b6403fce042c40705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab71531e1757c779e9b202e519e7b76bf8303aa9f438e1c0f101d6b29cdfc86",
    "cross_cats_sorted": [
      "math.MG",
      "q-bio.QM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2025-08-08T23:15:00Z",
    "title_canon_sha256": "629cbc602257f0476cdcb700474c9149ce13f3a8635f39b9e8ac4e91ed4d682f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06747",
    "kind": "arxiv",
    "version": 1
  }
}