Pith Number

pith:XDNESS2G

pith:2012:XDNESS2G4SRO56SLARCD7ZTYA4

not attested not anchored not stored refs pending

Polyhedral computational geometry for averaging metric phylogenetic trees

Ezra Miller, J. Scott Provan, Megan Owen

arxiv:1211.7046 v2 · 2012-11-29 · math.MG · cs.CG · math.CO · 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{XDNESS2G4SRO56SLARCD7ZTYA4}

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	2026-05-18T02:58:57.602115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8da494b46e4a2eefa4b04443fe6780739c19341ec1e0b09a9f3a2753abf823e

Aliases

arxiv: 1211.7046 · arxiv_version: 1211.7046v2 · doi: 10.48550/arxiv.1211.7046 · pith_short_12: XDNESS2G4SRO · pith_short_16: XDNESS2G4SRO56SL · pith_short_8: XDNESS2G

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/XDNESS2G4SRO56SLARCD7ZTYA4 \
  | 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: b8da494b46e4a2eefa4b04443fe6780739c19341ec1e0b09a9f3a2753abf823e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508bc3c2a806603cd2013dba5127754fb68ba274c153621bc19821e90403f2d2",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO",
      "math.ST",
      "q-bio.PE",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-11-29T20:39:49Z",
    "title_canon_sha256": "28cd61f29c59086ed64cabca8dbc6a3cf36da9cc1e9f64184bcbd10f2a3a0cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7046",
    "kind": "arxiv",
    "version": 2
  }
}