Pith Number

pith:AJ5NU2GC

pith:2019:AJ5NU2GCBRL4CKJKU7HHQ3BFLW

not attested not anchored not stored refs pending

On the regularity of complex multiplicative chaos

Eero Saksman, Janne Junnila, Lauri Viitasaari

arxiv:1905.12027 v1 · 2019-05-28 · 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{AJ5NU2GCBRL4CKJKU7HHQ3BFLW}

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	2026-05-17T23:44:49.191449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027ada68c20c57c1292aa7ce786c255db2d3b025380de5cbff37937164a8cb09

Aliases

arxiv: 1905.12027 · arxiv_version: 1905.12027v1 · doi: 10.48550/arxiv.1905.12027 · pith_short_12: AJ5NU2GCBRL4 · pith_short_16: AJ5NU2GCBRL4CKJK · pith_short_8: AJ5NU2GC

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/AJ5NU2GCBRL4CKJKU7HHQ3BFLW \
  | 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: 027ada68c20c57c1292aa7ce786c255db2d3b025380de5cbff37937164a8cb09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a56d17e644677e4f2d02442b784975da25a1c3b9bbb36883e0cb4d93d77a3861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-28T18:46:54Z",
    "title_canon_sha256": "25162deaeb26e403985ad82f0016a9a925fdfa329fb04fc5e69e7d78880b2bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12027",
    "kind": "arxiv",
    "version": 1
  }
}