Pith Number

pith:XN4FQZTD

pith:2008:XN4FQZTDLI3LR6XB5CJDLGDQGW

not attested not anchored not stored refs pending

Diffraction of stochastic point sets: Explicitly computable examples

Matthias Birkner (Mainz), Michael Baake (Bielefeld), Robert V. Moody (Victoria)

arxiv:0803.1266 v3 · 2008-03-08 · math-ph · math.MP · 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{XN4FQZTDLI3LR6XB5CJDLGDQGW}

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	2026-05-17T23:40:37.172256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb785866635a36b8fae1e892359870358a2ff92d00d392b6839e2f64bf1b5da9

Aliases

arxiv: 0803.1266 · arxiv_version: 0803.1266v3 · doi: 10.48550/arxiv.0803.1266 · pith_short_12: XN4FQZTDLI3L · pith_short_16: XN4FQZTDLI3LR6XB · pith_short_8: XN4FQZTD

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/XN4FQZTDLI3LR6XB5CJDLGDQGW \
  | 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: bb785866635a36b8fae1e892359870358a2ff92d00d392b6839e2f64bf1b5da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c69393ec77fa8c876d0f57c7fc36d73b25807bf8acb078c45477c447462f6b7",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-03-08T23:21:16Z",
    "title_canon_sha256": "a8e435540f47050572b4fc309f42decbcf0c4cd9b8d29f6c19b76a53fcc10f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1266",
    "kind": "arxiv",
    "version": 3
  }
}