Pith Number

pith:MRA7ZOOY

pith:2013:MRA7ZOOY6KN7LW6YUUCCOE5KBK

not attested not anchored not stored refs pending

On the excessive [m]-index of a tree

Giuseppe Mazzuoccolo

arxiv:1301.1521 v2 · 2013-01-08 · 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{MRA7ZOOY6KN7LW6YUUCCOE5KBK}

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	2026-05-18T03:21:45.377294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6441fcb9d8f29bf5dbd8a5042713aa0aa90ccba7985a6bd5ce2ec0cde2d59ec1

Aliases

arxiv: 1301.1521 · arxiv_version: 1301.1521v2 · doi: 10.48550/arxiv.1301.1521 · pith_short_12: MRA7ZOOY6KN7 · pith_short_16: MRA7ZOOY6KN7LW6Y · pith_short_8: MRA7ZOOY

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/MRA7ZOOY6KN7LW6YUUCCOE5KBK \
  | 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: 6441fcb9d8f29bf5dbd8a5042713aa0aa90ccba7985a6bd5ce2ec0cde2d59ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32733fc27fb56d40cd5f23c21c303a415a9eb6560987e18e7f0a5cfc2dc73ee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-08T13:24:41Z",
    "title_canon_sha256": "336b01b241c9ffc3f8f744bf555875aada66ebcb329547866ebef55923709944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1521",
    "kind": "arxiv",
    "version": 2
  }
}