Pith Number

pith:XA27VUO6

pith:2016:XA27VUO6RQDLJSAN3CVBRO5A47

not attested not anchored not stored refs pending

Principal component analysis and the locus of the Frechet mean in the space of phylogenetic trees

Grady Weyenberg, Ruriko Yoshida, Tom M. W. Nye, Xiaoxian Tang

arxiv:1609.03045 v1 · 2016-09-10 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XA27VUO6RQDLJSAN3CVBRO5A47}

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	2026-05-18T01:04:49.082342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b835fad1de8c06b4c80dd8aa18bba0e7e0e1708991a904db4ea0ffe27bcc57ba

Aliases

arxiv: 1609.03045 · arxiv_version: 1609.03045v1 · doi: 10.48550/arxiv.1609.03045 · pith_short_12: XA27VUO6RQDL · pith_short_16: XA27VUO6RQDLJSAN · pith_short_8: XA27VUO6

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/XA27VUO6RQDLJSAN3CVBRO5A47 \
  | 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: b835fad1de8c06b4c80dd8aa18bba0e7e0e1708991a904db4ea0ffe27bcc57ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230856d5ad1d0860027ca47a0cbfaca89e7f9894a5dc925ddd3ce48fe21d9bfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-09-10T13:00:53Z",
    "title_canon_sha256": "9685436c65292722d1a52e01a8c36691f62a1e41e8f9c15f4d393a2ebcd0cef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03045",
    "kind": "arxiv",
    "version": 1
  }
}