Pith Number

pith:Q5XKPWMP

pith:2013:Q5XKPWMPDBXRDKGT5HTFZ563SM

not attested not anchored not stored refs pending

Approximation properties of random polytopes associated with Poisson hyperplane processes

Daniel Hug, Rolf Schneider

arxiv:1309.3989 v2 · 2013-09-16 · 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{Q5XKPWMPDBXRDKGT5HTFZ563SM}

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	2026-05-18T03:04:37.099939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

876ea7d98f186f11a8d3e9e65cf7db933f8dbcad32ad98e4f4bc4fed1773bc59

Aliases

arxiv: 1309.3989 · arxiv_version: 1309.3989v2 · doi: 10.48550/arxiv.1309.3989 · pith_short_12: Q5XKPWMPDBXR · pith_short_16: Q5XKPWMPDBXRDKGT · pith_short_8: Q5XKPWMP

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/Q5XKPWMPDBXRDKGT5HTFZ563SM \
  | 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: 876ea7d98f186f11a8d3e9e65cf7db933f8dbcad32ad98e4f4bc4fed1773bc59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9301594b052195500685f47f0bc1bb00b148e28f76bc483d1bfc2e02a219ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-16T15:02:04Z",
    "title_canon_sha256": "cce91c35e3b3daeecae6572d9c82973be94b6cbdb78e5aa458e46074a88869e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3989",
    "kind": "arxiv",
    "version": 2
  }
}