Pith Number

pith:2MZO56M2

pith:2014:2MZO56M25OUSDNDEA7H2SUAIXY

not attested not anchored not stored refs pending

Leaf-to-leaf distances and their moments in finite and infinite m-ary tree graphs

Andrew M. Goldsborough, Rudolf A. R\"omer, S. Alex Rautu

arxiv:1406.4079 v2 · 2014-06-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MZO56M25OUSDNDEA7H2SUAIXY}

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	2026-05-18T01:30:43.371323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d332eef99aeba921b46407cfa95008be2cf44015f96b7d0071ca9c672f40d441

Aliases

arxiv: 1406.4079 · arxiv_version: 1406.4079v2 · doi: 10.48550/arxiv.1406.4079 · pith_short_12: 2MZO56M25OUS · pith_short_16: 2MZO56M25OUSDNDE · pith_short_8: 2MZO56M2

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/2MZO56M25OUSDNDEA7H2SUAIXY \
  | 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: d332eef99aeba921b46407cfa95008be2cf44015f96b7d0071ca9c672f40d441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002af62b37d87f92eccb710e1f5cdfc095cbfb6cad73000e391db348ffdf43e2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-16T17:39:27Z",
    "title_canon_sha256": "f97be539f2aed44dcf5ca0fd3d5646ccb7e4eb32cd1d49e3a6d2a11de04b6e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4079",
    "kind": "arxiv",
    "version": 2
  }
}