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Pith Number

pith:E2LTRR7P

pith:2012:E2LTRR7PFOFFJ5LPVV4QV3XZTI
not attested not anchored not stored refs pending

Polyhedral Combinatorics of UPGMA Cones

Ruth Davidson, Seth Sullivant

arxiv:1206.1621 v1 · 2012-06-07 · q-bio.PE · math.CO · q-bio.QM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E2LTRR7PFOFFJ5LPVV4QV3XZTI}

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 2026-05-18T03:54:03.685104Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

269738c7ef2b8a54f56fad790aeef99a3d5243b3d64af24deac4423aef552b22

Aliases

arxiv: 1206.1621 · arxiv_version: 1206.1621v1 · doi: 10.48550/arxiv.1206.1621 · pith_short_12: E2LTRR7PFOFF · pith_short_16: E2LTRR7PFOFFJ5LP · pith_short_8: E2LTRR7P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E2LTRR7PFOFFJ5LPVV4QV3XZTI \
  | 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: 269738c7ef2b8a54f56fad790aeef99a3d5243b3d64af24deac4423aef552b22
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c60e94c9e19686fa7e5b6e2befa4d734d658f5eda319df29c18c4f4cd27020f3",
    "cross_cats_sorted": [
      "math.CO",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-06-07T21:28:58Z",
    "title_canon_sha256": "f6c9c0aec4fd560c9fb57fbffb03100f4288cd3bea11612ecb87a139c1879399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1621",
    "kind": "arxiv",
    "version": 1
  }
}