Pith Number

pith:W7B7YJLU

pith:2026:W7B7YJLUT3TTS3MIOZJNVZFAGU

not attested not anchored not stored refs pending

Extremal ranks of unlabeled multifurcating rooted trees in a bijective encoding by the positive integers

Alessandra R. P. Maranca, Michael R. Doboli, Noah A. Rosenberg

arxiv:2606.28539 v1 · 2026-06-26 · 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{W7B7YJLUT3TTS3MIOZJNVZFAGU}

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	2026-06-30T00:15:17.471632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c3fc25749ee7396d887652dae4a03508440d335de17c794ea41efe2d219d38

Aliases

arxiv: 2606.28539 · arxiv_version: 2606.28539v1 · doi: 10.48550/arxiv.2606.28539 · pith_short_12: W7B7YJLUT3TT · pith_short_16: W7B7YJLUT3TTS3MI · pith_short_8: W7B7YJLU

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/W7B7YJLUT3TTS3MIOZJNVZFAGU \
  | 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: b7c3fc25749ee7396d887652dae4a03508440d335de17c794ea41efe2d219d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74b61ae08f6de2dcef0aca3bf16694b3f276548cc6fe358911414a62231369c1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-26T18:44:50Z",
    "title_canon_sha256": "da9c3053c517a7a6d075bd7e22155e88e1548ee6508eea17c2a64e2b84374294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28539",
    "kind": "arxiv",
    "version": 1
  }
}