Pith Number

pith:AO5QJD4N

pith:2010:AO5QJD4NIRNHPTB3ARWV5Z4DDK

not attested not anchored not stored refs pending

Typical Geometry, Second-Order Properties and Central Limit Theory for Iteration Stable Tessellations

Christoph Thaele, Tomasz Schreiber

arxiv:1001.0990 v3 · 2010-01-06 · 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{AO5QJD4NIRNHPTB3ARWV5Z4DDK}

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	2026-05-18T02:24:45.190241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03bb048f8d445a77cc3b046d5ee7831ab3c1eedc6913a673a945931dd1a80c23

Aliases

arxiv: 1001.0990 · arxiv_version: 1001.0990v3 · doi: 10.48550/arxiv.1001.0990 · pith_short_12: AO5QJD4NIRNH · pith_short_16: AO5QJD4NIRNHPTB3 · pith_short_8: AO5QJD4N

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/AO5QJD4NIRNHPTB3ARWV5Z4DDK \
  | 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: 03bb048f8d445a77cc3b046d5ee7831ab3c1eedc6913a673a945931dd1a80c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cded435b4b7cb8924555075cb33197443d49aa48015d6276579dfff06f352727",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-06T21:47:55Z",
    "title_canon_sha256": "cc9d68e97e43e27d079436dd8c187e9c35bb70402cc729edba0226eb568c326a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0990",
    "kind": "arxiv",
    "version": 3
  }
}