Pith Number

pith:XRGR2TI7

pith:2014:XRGR2TI7E4OLOZHONTDKSTHUML

not attested not anchored not stored refs pending

Balance in Random Trees

Azer Akhmedov, Warren Shreve

arxiv:1404.1153 v1 · 2014-04-04 · 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{XRGR2TI7E4OLOZHONTDKSTHUML}

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	2026-05-18T02:54:54.088092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc4d1d4d1f271cb764ee6cc6a94cf462fb77fa7c124cfc886518f27300f53b45

Aliases

arxiv: 1404.1153 · arxiv_version: 1404.1153v1 · doi: 10.48550/arxiv.1404.1153 · pith_short_12: XRGR2TI7E4OL · pith_short_16: XRGR2TI7E4OLOZHO · pith_short_8: XRGR2TI7

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/XRGR2TI7E4OLOZHONTDKSTHUML \
  | 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: bc4d1d4d1f271cb764ee6cc6a94cf462fb77fa7c124cfc886518f27300f53b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94353aea7becc897f8c2edf6d57e8460855b63e220435e4c51e65d3e4b180b82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-04T04:55:33Z",
    "title_canon_sha256": "7af555afeabab72881e2a31327699eeeec35a34b87c4964d3e218e073f20091a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1153",
    "kind": "arxiv",
    "version": 1
  }
}