Pith Number

pith:6BGDFHUW

pith:2011:6BGDFHUW4OFOV2MCFBWSIWHXSO

not attested not anchored not stored refs pending

Alignment-free phylogenetic reconstruction: Sample complexity via a branching process analysis

Constantinos Daskalakis, Sebastien Roch

arxiv:1109.5002 v2 · 2011-09-23 · math.PR · cs.CE · 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{6BGDFHUW4OFOV2MCFBWSIWHXSO}

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	2026-05-18T03:32:57.240222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f04c329e96e38aeae982286d2458f793a31e0b885cbf6389c308f21283dbfea3

Aliases

arxiv: 1109.5002 · arxiv_version: 1109.5002v2 · doi: 10.48550/arxiv.1109.5002 · pith_short_12: 6BGDFHUW4OFO · pith_short_16: 6BGDFHUW4OFOV2MC · pith_short_8: 6BGDFHUW

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/6BGDFHUW4OFOV2MCFBWSIWHXSO \
  | 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: f04c329e96e38aeae982286d2458f793a31e0b885cbf6389c308f21283dbfea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50f7fb7b5b111dc0549b5e695ed13fe21c94c27a0fa68e413a30f252daa3bc91",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.DS",
      "math.ST",
      "q-bio.PE",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-23T05:38:55Z",
    "title_canon_sha256": "e47dea9e75e0cc2e722b11b5c5e428fed06d0684df6d320192d1065d04c6e04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5002",
    "kind": "arxiv",
    "version": 2
  }
}