Pith Number

pith:W52OYRGF

pith:2016:W52OYRGFOYDXPE4N4LID6XANIJ

not attested not anchored not stored refs pending

The scaling of the minimum sum of edge lengths in uniformly random trees

Carlos G\'omez-Rodr\'iguez, Juan Luis Esteban, Ramon Ferrer-i-Cancho

arxiv:1602.07940 v2 · 2016-02-25 · physics.data-an · cs.DM · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W52OYRGFOYDXPE4N4LID6XANIJ}

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	2026-05-18T00:28:07.342721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b774ec44c5760777938de2d03f5c0d426ac9a4f1ee6b8e3e371d01e889c989cb

Aliases

arxiv: 1602.07940 · arxiv_version: 1602.07940v2 · doi: 10.48550/arxiv.1602.07940 · pith_short_12: W52OYRGFOYDX · pith_short_16: W52OYRGFOYDXPE4N · pith_short_8: W52OYRGF

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/W52OYRGFOYDXPE4N4LID6XANIJ \
  | 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: b774ec44c5760777938de2d03f5c0d426ac9a4f1ee6b8e3e371d01e889c989cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "408ea55c07f946c80d64747b55eb85af5f770fb803d929e1d7f88562f7d9f48a",
    "cross_cats_sorted": [
      "cs.DM",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2016-02-25T14:17:00Z",
    "title_canon_sha256": "ef9b31d426d3f2f0dc7f9cf17c138a2e70f455b3b8261a34c0553246501b6003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07940",
    "kind": "arxiv",
    "version": 2
  }
}