Pith Number

pith:RI3Z4FYR

pith:2015:RI3Z4FYRMFRESPW335RAJI7GET

not attested not anchored not stored refs pending

Uniform Behaviors of Random Polytopes under the Hausdorff Metric

Victor-Emmanuel Brunel

arxiv:1503.01504 v2 · 2015-03-05 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RI3Z4FYRMFRESPW335RAJI7GET}

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	2026-05-18T00:11:32.875149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a379e17116162493edbdf6204a3e624fc1b119fbe066b100d0efdbad336f16c

Aliases

arxiv: 1503.01504 · arxiv_version: 1503.01504v2 · doi: 10.48550/arxiv.1503.01504 · pith_short_12: RI3Z4FYRMFRE · pith_short_16: RI3Z4FYRMFRESPW3 · pith_short_8: RI3Z4FYR

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/RI3Z4FYRMFRESPW335RAJI7GET \
  | 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: 8a379e17116162493edbdf6204a3e624fc1b119fbe066b100d0efdbad336f16c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9177b6c6bcfa3563b6d729bab4c4f10e2bc6892832dbaceaed8fa65eb9495e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-03-05T00:21:33Z",
    "title_canon_sha256": "e1f30b8563052bd07d1f1f9045aaaddae33dbf73f73561b5c8af09ded766e26a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01504",
    "kind": "arxiv",
    "version": 2
  }
}