Pith Number

pith:MO4637CO

pith:2016:MO4637COHYQP2IPHGWGQIVPOOZ

not attested not anchored not stored refs pending

Infinite Products of Random Isotropically Distributed Matrices

A.S. Il'yn, K.P. Zybin, V.A. Sirota

arxiv:1607.03616 v1 · 2016-07-13 · nlin.CD · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MO4637COHYQP2IPHGWGQIVPOOZ}

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	2026-05-18T00:54:35.599484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b9edfc4e3e20fd21e7358d0455ee76699a0b60d8ce187db5e238d5265e33e9

Aliases

arxiv: 1607.03616 · arxiv_version: 1607.03616v1 · doi: 10.48550/arxiv.1607.03616 · pith_short_12: MO4637COHYQP · pith_short_16: MO4637COHYQP2IPH · pith_short_8: MO4637CO

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/MO4637COHYQP2IPHGWGQIVPOOZ \
  | 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: 63b9edfc4e3e20fd21e7358d0455ee76699a0b60d8ce187db5e238d5265e33e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69a097182569c7d2c22c89851b080835bdc2893510850c5bc27c91be7af192b",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2016-07-13T07:33:47Z",
    "title_canon_sha256": "e2fa5f674c639d41bc3b3723d40340b0a4f129ffe26e3bbc7f51f85d66ce06d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03616",
    "kind": "arxiv",
    "version": 1
  }
}