Pith Number

pith:IWUKC3WR

pith:2010:IWUKC3WRS4RO52UL7YWN3MX5ZJ

not attested not anchored not stored refs pending

Asymptotic cost of cutting down random free trees

Elahe Zohoorian Azad

arxiv:1008.3049 v2 · 2010-08-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWUKC3WRS4RO52UL7YWN3MX5ZJ}

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	2026-05-18T03:57:27.479349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45a8a16ed19722eeea8bfe2cddb2fdca40a83640708303e9138dcfd0a09afda3

Aliases

arxiv: 1008.3049 · arxiv_version: 1008.3049v2 · doi: 10.48550/arxiv.1008.3049 · pith_short_12: IWUKC3WRS4RO · pith_short_16: IWUKC3WRS4RO52UL · pith_short_8: IWUKC3WR

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/IWUKC3WRS4RO52UL7YWN3MX5ZJ \
  | 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: 45a8a16ed19722eeea8bfe2cddb2fdca40a83640708303e9138dcfd0a09afda3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7c6f8d8bdd8ce6efb57d3c92702ced5476b5eb9eba7cb124254aba60abf76a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-18T08:59:27Z",
    "title_canon_sha256": "cb809721fa59d7ad96af997fa8935f8af9bb3441bbff6ced73007a871306436b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3049",
    "kind": "arxiv",
    "version": 2
  }
}