Pith Number

pith:DKMIW4HB

pith:2017:DKMIW4HBQHUI4JOARKUK6BSXFF

not attested not anchored not stored refs pending

Limit laws for random matrix products

I2M), Jordan Emme (1), Pascal Hubert (2) ((1) FRUMAM

arxiv:1712.03698 v1 · 2017-12-11 · math.DS · 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{DKMIW4HBQHUI4JOARKUK6BSXFF}

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	2026-05-18T00:28:20.333515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a988b70e181e88e25c08aa8af065729628148e6cc87e70009e4e2ba15e8d0dd

Aliases

arxiv: 1712.03698 · arxiv_version: 1712.03698v1 · doi: 10.48550/arxiv.1712.03698 · pith_short_12: DKMIW4HBQHUI · pith_short_16: DKMIW4HBQHUI4JOA · pith_short_8: DKMIW4HB

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/DKMIW4HBQHUI4JOARKUK6BSXFF \
  | 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: 1a988b70e181e88e25c08aa8af065729628148e6cc87e70009e4e2ba15e8d0dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1356440f2bbd64c9eddf2e3169d6328dc836c6b205503c5792ea84826e5d3bf3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-11T09:53:37Z",
    "title_canon_sha256": "b508e2a10da8faa2f2dd6d16c8cc35d5ae1190fd7b92e3789b4fc3470c401888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03698",
    "kind": "arxiv",
    "version": 1
  }
}