Pith Number

pith:CZKEMBDZ

pith:2017:CZKEMBDZMGRCG55QPYW2MF7PAB

not attested not anchored not stored refs pending

On the expected diameter, width, and complexity of a stochastic convex-hull

Jie Xue, Ravi Janardan, Yuan Li

arxiv:1704.07028 v2 · 2017-04-24 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZKEMBDZMGRCG55QPYW2MF7PAB}

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	2026-05-18T00:45:19.549610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165446047961a22377b07e2da617ef006ecb87b88ced34fa72cb677a4de7cf7a

Aliases

arxiv: 1704.07028 · arxiv_version: 1704.07028v2 · doi: 10.48550/arxiv.1704.07028 · pith_short_12: CZKEMBDZMGRC · pith_short_16: CZKEMBDZMGRCG55Q · pith_short_8: CZKEMBDZ

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/CZKEMBDZMGRCG55QPYW2MF7PAB \
  | 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: 165446047961a22377b07e2da617ef006ecb87b88ced34fa72cb677a4de7cf7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ac5dc2c558ed1f9fe860d431ebd78f5be17288bbb7ffb1c48cd26b779a20dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-04-24T03:33:24Z",
    "title_canon_sha256": "23df8dfbd630cfeb6f40682d6df67bff2cf10ffbc8f305c27ef35d5adcf1d533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07028",
    "kind": "arxiv",
    "version": 2
  }
}