Pith Number

pith:5HZ5YOAG

pith:2012:5HZ5YOAGPHCQDGRJJGSDPWASOU

not attested not anchored not stored refs pending

On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations

Daniel Hug, Julia Hoerrmann

arxiv:1208.3325 v2 · 2012-08-16 · 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{5HZ5YOAGPHCQDGRJJGSDPWASOU}

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	2026-05-18T03:40:49.080759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f3dc380679c5019a2949a437d8127514f747928749d25f75ad4c91b6032d03

Aliases

arxiv: 1208.3325 · arxiv_version: 1208.3325v2 · doi: 10.48550/arxiv.1208.3325 · pith_short_12: 5HZ5YOAGPHCQ · pith_short_16: 5HZ5YOAGPHCQDGRJ · pith_short_8: 5HZ5YOAG

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/5HZ5YOAGPHCQDGRJJGSDPWASOU \
  | 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: e9f3dc380679c5019a2949a437d8127514f747928749d25f75ad4c91b6032d03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e917c403230fe0e04457e4887a0164f3e9ad74d4fd5ee246521299fd60fa30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-16T09:46:56Z",
    "title_canon_sha256": "8453d748ccc250ef74afc57173df76bfbe1dee3b64249ef84aceeaf8067bbccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3325",
    "kind": "arxiv",
    "version": 2
  }
}