pith. sign in
Pith Number

pith:5HBCXTVB

pith:2011:5HBCXTVBPLTVVGBHZNTBILURFH
not attested not anchored not stored refs pending

Variance on the Leaves of a Tree Markov Random Field: Detecting Character Dependencies in Phylogenies

Deeparnab Chakrabarty, Kevin Tian, Sampath Kannan

arxiv:1112.5508 v3 · 2011-12-23 · q-bio.PE · cs.DM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5HBCXTVBPLTVVGBHZNTBILURFH}

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 2026-05-18T02:39:24.381436Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e9c22bcea17ae75a9827cb66142e9129ee53f6fdbc89b60aef1c448de80521b2

Aliases

arxiv: 1112.5508 · arxiv_version: 1112.5508v3 · doi: 10.48550/arxiv.1112.5508 · pith_short_12: 5HBCXTVBPLTV · pith_short_16: 5HBCXTVBPLTVVGBH · pith_short_8: 5HBCXTVB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5HBCXTVBPLTVVGBHZNTBILURFH \
  | 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: e9c22bcea17ae75a9827cb66142e9129ee53f6fdbc89b60aef1c448de80521b2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "914f2f9b0dd30e061e523aefd692d56fd663a6e2d03f89596ab776d34a98d7af",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-12-23T03:01:19Z",
    "title_canon_sha256": "01a50264266a190bfa1c01c698abaeb24bebc613a1ec9f6189f92f144c8f2181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5508",
    "kind": "arxiv",
    "version": 3
  }
}