pith. sign in
Pith Number

pith:EVG7MSUJ

pith:2013:EVG7MSUJMFGYZ33JHRQBR72KYV
not attested not anchored not stored refs pending

Low degree minimal generators of phylogenetic semigroups

Kaie Kubjas

arxiv:1304.0744 v1 · 2013-04-02 · math.CO · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EVG7MSUJMFGYZ33JHRQBR72KYV}

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 2026-05-18T03:29:14.393181Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

254df64a89614d8cef693c6018ff4ac570c5fcfe4fbcc57ee708e044c31aca7e

Aliases

arxiv: 1304.0744 · arxiv_version: 1304.0744v1 · doi: 10.48550/arxiv.1304.0744 · pith_short_12: EVG7MSUJMFGY · pith_short_16: EVG7MSUJMFGYZ33J · pith_short_8: EVG7MSUJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EVG7MSUJMFGYZ33JHRQBR72KYV \
  | 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: 254df64a89614d8cef693c6018ff4ac570c5fcfe4fbcc57ee708e044c31aca7e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7573bc27f400b6c4933be9c5a96372035d911b30ed1ac1ff402cbcbbc1020a5e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-02T19:17:10Z",
    "title_canon_sha256": "a10d929ae537ba875cdee25bc11126b4427c31d294757fb2c64221595a0a6d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0744",
    "kind": "arxiv",
    "version": 1
  }
}