Pith Number

pith:KOESMLQV

pith:2014:KOESMLQVC4XKPA3VOJA2WKROIO

not attested not anchored not stored refs pending

Limiting Behaviour of Fr\'echet Means in the Space of Phylogenetic Trees

Dennis Barden, Huiling Le, Megan Owen

arxiv:1409.7602 v3 · 2014-09-26 · math.PR · math.MG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOESMLQVC4XKPA3VOJA2WKROIO}

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	2026-05-18T01:09:49.675367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5389262e15172ea783757241ab2a2e43bb83e127741397874a4354619f1a3867

Aliases

arxiv: 1409.7602 · arxiv_version: 1409.7602v3 · doi: 10.48550/arxiv.1409.7602 · pith_short_12: KOESMLQVC4XK · pith_short_16: KOESMLQVC4XKPA3V · pith_short_8: KOESMLQV

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/KOESMLQVC4XKPA3VOJA2WKROIO \
  | 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: 5389262e15172ea783757241ab2a2e43bb83e127741397874a4354619f1a3867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dbd619748ef77e21d1f13f6036f1f45fe6e0a9a849247198acd11cdb8a7d6f9",
    "cross_cats_sorted": [
      "math.MG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-26T15:30:52Z",
    "title_canon_sha256": "bb6fa1dfc8c146212b053c89b8153dddcc3610afbaee6709c16460d8acf4c32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7602",
    "kind": "arxiv",
    "version": 3
  }
}