Pith Number

pith:KEH7BE3Q

pith:2017:KEH7BE3QJTDNUZWD46FG46WFNJ

not attested not anchored not stored refs pending

Maximizing the mean subtree order

Lucas Mol, Ortrud R. Oellermann

arxiv:1707.01874 v3 · 2017-07-06 · 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{KEH7BE3QJTDNUZWD46FG46WFNJ}

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	2026-05-18T00:00:41.489786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510ff093704cc6da66c3e78a6e7ac56a58e9dac7ddc428fc03afe2de877b13a1

Aliases

arxiv: 1707.01874 · arxiv_version: 1707.01874v3 · doi: 10.48550/arxiv.1707.01874 · pith_short_12: KEH7BE3QJTDN · pith_short_16: KEH7BE3QJTDNUZWD · pith_short_8: KEH7BE3Q

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/KEH7BE3QJTDNUZWD46FG46WFNJ \
  | 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: 510ff093704cc6da66c3e78a6e7ac56a58e9dac7ddc428fc03afe2de877b13a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d9a642b6cd1867d65ef5d987c1a22a0c38a393c8d191f125f1caf1647ab157",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-06T17:21:40Z",
    "title_canon_sha256": "7a953c528bd30e8f0dc8f1788ab3d24613c9f125cd789c6aa84a797de865e9c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01874",
    "kind": "arxiv",
    "version": 3
  }
}