Pith Number

pith:KSNVDLZY

pith:2016:KSNVDLZY5QVK3LCEOW57PPNEOV

not attested not anchored not stored refs pending

Minimum triplet covers of binary phylogenetic $X$-trees

Katharina T. Huber, Mike Steel, Vincent Moulton

arxiv:1610.07254 v2 · 2016-10-24 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSNVDLZY5QVK3LCEOW57PPNEOV}

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	2026-05-18T00:51:43.033673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

549b51af38ec2aadac4475bbf7bda4756bd313f51019c7d383366633724f4833

Aliases

arxiv: 1610.07254 · arxiv_version: 1610.07254v2 · doi: 10.48550/arxiv.1610.07254 · pith_short_12: KSNVDLZY5QVK · pith_short_16: KSNVDLZY5QVK3LCE · pith_short_8: KSNVDLZY

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/KSNVDLZY5QVK3LCEOW57PPNEOV \
  | 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: 549b51af38ec2aadac4475bbf7bda4756bd313f51019c7d383366633724f4833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d57dd99e9bac694eaa53902a7a5b273ac0f1c850ef69d320a02562d94947946f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-24T00:52:56Z",
    "title_canon_sha256": "06af7caea3781c0ffed9d42db92f36f69fde67a69f1e8637839b7abfef72af50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07254",
    "kind": "arxiv",
    "version": 2
  }
}