Pith Number

pith:WS7N5MHK

pith:2012:WS7N5MHKKNM2VQI5BUHR6PCS3R

not attested not anchored not stored refs pending

Random integral representations for free-infiniteley divisible and tempered distributions

Zbigniew J. Jurek

arxiv:1206.3044 v1 · 2012-06-14 · 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{WS7N5MHKKNM2VQI5BUHR6PCS3R}

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	2026-05-18T03:53:32.900235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4bedeb0ea5359aac11d0d0f1f3c52dc5b5a1545957b2eca5c63464ac752e87a

Aliases

arxiv: 1206.3044 · arxiv_version: 1206.3044v1 · doi: 10.48550/arxiv.1206.3044 · pith_short_12: WS7N5MHKKNM2 · pith_short_16: WS7N5MHKKNM2VQI5 · pith_short_8: WS7N5MHK

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/WS7N5MHKKNM2VQI5BUHR6PCS3R \
  | 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: b4bedeb0ea5359aac11d0d0f1f3c52dc5b5a1545957b2eca5c63464ac752e87a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf71d537bde31d2deec688ae78b4b89529301097381e2acf2cb1838fac362a67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-14T09:16:58Z",
    "title_canon_sha256": "bf955cd2c5f890e5f28e35fdc406401656f460b74082f66eba58626f0d24690a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3044",
    "kind": "arxiv",
    "version": 1
  }
}