Pith Number

pith:FX4YAAJ4

pith:2015:FX4YAAJ4FQEXVSEVNMCIEMUHRJ

not attested not anchored not stored refs pending

Phase transition in the sample complexity of likelihood-based phylogeny inference

Allan Sly, Sebastien Roch

arxiv:1508.01964 v2 · 2015-08-08 · math.PR · 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{FX4YAAJ4FQEXVSEVNMCIEMUHRJ}

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	2026-05-18T00:40:01.407968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df980013c2c097ac8956b048232878a7892f690626c5bb9893bc5324700f5e2

Aliases

arxiv: 1508.01964 · arxiv_version: 1508.01964v2 · doi: 10.48550/arxiv.1508.01964 · pith_short_12: FX4YAAJ4FQEX · pith_short_16: FX4YAAJ4FQEXVSEV · pith_short_8: FX4YAAJ4

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/FX4YAAJ4FQEXVSEVNMCIEMUHRJ \
  | 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: 2df980013c2c097ac8956b048232878a7892f690626c5bb9893bc5324700f5e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d134e506666037a98bab8bcf82ba490078fb08ef298990c099036de99746c9",
    "cross_cats_sorted": [
      "math.ST",
      "q-bio.PE",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-08T22:30:14Z",
    "title_canon_sha256": "3ded1a156c690968e88f176a73b9f5fe162775c204cf8ab2792438dd0a19b27a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01964",
    "kind": "arxiv",
    "version": 2
  }
}