Pith Number

pith:QHW6EN76

pith:2011:QHW6EN76NT6D2LBT2E3AKR7AYV

not attested not anchored not stored refs pending

Phylogenetic mixtures: Concentration of measure in the large-tree limit

Elchanan Mossel, Sebastien Roch

arxiv:1108.3112 v2 · 2011-08-15 · math.PR · cs.DS · math.ST · q-bio.PE · 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{QHW6EN76NT6D2LBT2E3AKR7AYV}

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	2026-05-18T03:39:43.783183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ede237fe6cfc3d2c33d1360547e0c5720cb2b8e512db01a75b179f88be4854

Aliases

arxiv: 1108.3112 · arxiv_version: 1108.3112v2 · doi: 10.48550/arxiv.1108.3112 · pith_short_12: QHW6EN76NT6D · pith_short_16: QHW6EN76NT6D2LBT · pith_short_8: QHW6EN76

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/QHW6EN76NT6D2LBT2E3AKR7AYV \
  | 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: 81ede237fe6cfc3d2c33d1360547e0c5720cb2b8e512db01a75b179f88be4854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515ce0ac812b40be7190aceb12c5d7c883a3e434ac767c9a10b2dfd344d7d071",
    "cross_cats_sorted": [
      "cs.DS",
      "math.ST",
      "q-bio.PE",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-15T22:45:35Z",
    "title_canon_sha256": "95ca38a3ef7a36a45c68cc789fbfcbd76e964bed674aa4e04cef5f80430120ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3112",
    "kind": "arxiv",
    "version": 2
  }
}