Pith Number

pith:6BZW6JIV

pith:2012:6BZW6JIVJ24CIVMGRJMAYKPQCV

not attested not anchored not stored refs pending

Asymptotic analysis of Hoppe trees

Kevin Leckey, Ralph Neininger

arxiv:1202.2439 v3 · 2012-02-11 · math.PR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BZW6JIVJ24CIVMGRJMAYKPQCV}

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	2026-05-18T03:51:47.120515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0736f25154eb82455868a580c29f0157c63f3ac5a1caa948a174bcc92266e1c

Aliases

arxiv: 1202.2439 · arxiv_version: 1202.2439v3 · doi: 10.48550/arxiv.1202.2439 · pith_short_12: 6BZW6JIVJ24C · pith_short_16: 6BZW6JIVJ24CIVMG · pith_short_8: 6BZW6JIV

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/6BZW6JIVJ24CIVMGRJMAYKPQCV \
  | 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: f0736f25154eb82455868a580c29f0157c63f3ac5a1caa948a174bcc92266e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829f8fa28c0340d9142b3c67e20270811b488bbc079262232b6e0c9556b29d51",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-11T12:57:55Z",
    "title_canon_sha256": "2cd996d7d4946a4e5e94bbc055df2ddad57001d2fb5efbfcfd1722703c24cd08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2439",
    "kind": "arxiv",
    "version": 3
  }
}