Pith Number

pith:3JZB2E3E

pith:2011:3JZB2E3E7ENO3BODCVBDD5YBZ6

not attested not anchored not stored refs pending

On the Expected Complexity of Random Convex Hulls

Sariel Har-Peled

arxiv:1111.5340 v1 · 2011-11-22 · 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{3JZB2E3E7ENO3BODCVBDD5YBZ6}

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	2026-05-18T04:07:52.228377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da721d1364f91aed85c3154231f701cf98420402a5e7244df8b78428c8586f13

Aliases

arxiv: 1111.5340 · arxiv_version: 1111.5340v1 · doi: 10.48550/arxiv.1111.5340 · pith_short_12: 3JZB2E3E7ENO · pith_short_16: 3JZB2E3E7ENO3BOD · pith_short_8: 3JZB2E3E

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/3JZB2E3E7ENO3BODCVBDD5YBZ6 \
  | 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: da721d1364f91aed85c3154231f701cf98420402a5e7244df8b78428c8586f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c10ac947c9351fdb5f573ce6320465582d22a9027a465829fed9e43addf2c174",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2011-11-22T21:17:34Z",
    "title_canon_sha256": "fc6d3bcb3624e507e8922a027a99a68f945171c93b81bbdb98dc55c765e49930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5340",
    "kind": "arxiv",
    "version": 1
  }
}