Pith Number

pith:3YF2PGJO

pith:2016:3YF2PGJOHREXZYRVXJL57Z6YSY

not attested not anchored not stored refs pending

Moments of the maximal number of empty simplices of a random point set

Daniel Temesvari

arxiv:1612.07481 v2 · 2016-12-22 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YF2PGJOHREXZYRVXJL57Z6YSY}

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	2026-05-18T00:23:46.011805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de0ba7992e3c497ce235ba57dfe7d8963116d76de3866a4fe699b4df216cfb4f

Aliases

arxiv: 1612.07481 · arxiv_version: 1612.07481v2 · doi: 10.48550/arxiv.1612.07481 · pith_short_12: 3YF2PGJOHREX · pith_short_16: 3YF2PGJOHREXZYRV · pith_short_8: 3YF2PGJO

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/3YF2PGJOHREXZYRVXJL57Z6YSY \
  | 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: de0ba7992e3c497ce235ba57dfe7d8963116d76de3866a4fe699b4df216cfb4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e440c6d181ed153f6d5c004499a5661d6c8b235c0ee943d99c016bec30462252",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-22T08:10:21Z",
    "title_canon_sha256": "393b3718150323d4c3e9c1d0dfe6623f86fac17b1915d3f44ccce032376893d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07481",
    "kind": "arxiv",
    "version": 2
  }
}