Pith Number

pith:UXLVVHRA

pith:2017:UXLVVHRATTO42QAI7YQEBAR7T3

not attested not anchored not stored refs pending

Balanced vertices in labeled rooted trees

Miklos Bona

arxiv:1705.09688 v2 · 2017-05-26 · 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{UXLVVHRATTO42QAI7YQEBAR7T3}

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	2026-05-18T00:35:10.524470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d75a9e209cddcd4008fe2040823f9eccd63ec4e73cb61de329bddcc6c20686

Aliases

arxiv: 1705.09688 · arxiv_version: 1705.09688v2 · doi: 10.48550/arxiv.1705.09688 · pith_short_12: UXLVVHRATTO4 · pith_short_16: UXLVVHRATTO42QAI · pith_short_8: UXLVVHRA

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/UXLVVHRATTO42QAI7YQEBAR7T3 \
  | 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: a5d75a9e209cddcd4008fe2040823f9eccd63ec4e73cb61de329bddcc6c20686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ac7866112a02c73b2ffbb605d75a92c08b1eaff97cd08271ed6a396d3beaf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-26T19:19:55Z",
    "title_canon_sha256": "b73a9a175aa4b0343dad5f4e1fa40d6871c2de97a45104cc7fb5f09a6c9686d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09688",
    "kind": "arxiv",
    "version": 2
  }
}