Pith Number

pith:GQ5PI6YU

pith:2019:GQ5PI6YUSK7NTQMZKOUYTXDWOH

not attested not anchored not stored refs pending

Random polytopes and the wet part for arbitrary probability distributions

Alfredo Hubard, G\"unter Rote, Imre B\'ar\'any, Matthieu Fradelizi, Xavier Goaoc

arxiv:1902.06519 v1 · 2019-02-18 · 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{GQ5PI6YUSK7NTQMZKOUYTXDWOH}

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	2026-07-05T01:41:47.217501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

343af47b1492bed9c19953a989dc7671f0b6f0de5cb1da8577a0ab989ff3a232

Aliases

arxiv: 1902.06519 · arxiv_version: 1902.06519v1 · doi: 10.48550/arxiv.1902.06519 · pith_short_12: GQ5PI6YUSK7N · pith_short_16: GQ5PI6YUSK7NTQMZ · pith_short_8: GQ5PI6YU

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/GQ5PI6YUSK7NTQMZKOUYTXDWOH \
  | 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: 343af47b1492bed9c19953a989dc7671f0b6f0de5cb1da8577a0ab989ff3a232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce09cb245888b1f7efb6706465e617a8898720b297f2678054a9f013f93b3c32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-18T11:13:56Z",
    "title_canon_sha256": "34d16e1219b0ea48d5e06922a70f532a9cc6d7a3b9869116500d57248970b0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06519",
    "kind": "arxiv",
    "version": 1
  }
}