Pith Number

pith:3ZU6Z6NU

pith:2014:3ZU6Z6NUM7A5L2B6TY2LESVZAO

not attested not anchored not stored refs pending

Anchored expansion, speed, and the hyperbolic Poisson Voronoi tessellation

Elliot Paquette, Itai Benjamini, Joshua Pfeffer

arxiv:1409.4312 v2 · 2014-09-15 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZU6Z6NUM7A5L2B6TY2LESVZAO}

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.

Cited by

1 paper in Pith

Theory of Anderson localization on the hyperbolic plane

Receipt and verification

First computed	2026-05-18T02:38:59.214417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de69ecf9b467c1d5e83e9e34b24ab9039f4be30a731938b985a6b6619b63bb59

Aliases

arxiv: 1409.4312 · arxiv_version: 1409.4312v2 · doi: 10.48550/arxiv.1409.4312 · pith_short_12: 3ZU6Z6NUM7A5 · pith_short_16: 3ZU6Z6NUM7A5L2B6 · pith_short_8: 3ZU6Z6NU

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/3ZU6Z6NUM7A5L2B6TY2LESVZAO \
  | 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: de69ecf9b467c1d5e83e9e34b24ab9039f4be30a731938b985a6b6619b63bb59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fcc3bc0be088cc3e5a8029a2b9698816fe7aed9239cf4d46be76a8ab19aeaee",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-15T16:29:42Z",
    "title_canon_sha256": "0ea05e8005697b2c31c7b6b50f535bc0c86c3dba28a99715d33042c0340d78c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4312",
    "kind": "arxiv",
    "version": 2
  }
}