Pith Number

pith:AZH2FZK2

pith:2015:AZH2FZK2OO3QQTV7DO37NURXL2

not attested not anchored not stored refs pending

Thin tails of fixed points of the nonhomogeneous smoothing transform

Gerold Alsmeyer, Piotr Dyszewski

arxiv:1510.06451 v1 · 2015-10-21 · 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{AZH2FZK2OO3QQTV7DO37NURXL2}

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	2026-05-18T01:29:30.944545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064fa2e55a73b7084ebf1bb7f6d2375eaa20e7d40442a3189e55ee80824b339c

Aliases

arxiv: 1510.06451 · arxiv_version: 1510.06451v1 · doi: 10.48550/arxiv.1510.06451 · pith_short_12: AZH2FZK2OO3Q · pith_short_16: AZH2FZK2OO3QQTV7 · pith_short_8: AZH2FZK2

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/AZH2FZK2OO3QQTV7DO37NURXL2 \
  | 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: 064fa2e55a73b7084ebf1bb7f6d2375eaa20e7d40442a3189e55ee80824b339c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8939e1886ee897953b17798c4045f0529e014ef2214b62cf93715975b8e05594",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-21T22:48:13Z",
    "title_canon_sha256": "ef85e8a7b9121416d2b55bec6d11d249453418d6d281dada03ee0a8748d52f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06451",
    "kind": "arxiv",
    "version": 1
  }
}