Pith Number

pith:MH7P7DEQ

pith:2014:MH7P7DEQPDB2Y25YGE6VEZYTQY

not attested not anchored not stored refs pending

Precise Large Deviation Results for Products of Random Matrices

Dariusz Buraczewski, Sebastian Mentemeier

arxiv:1405.6505 v2 · 2014-05-26 · 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{MH7P7DEQPDB2Y25YGE6VEZYTQY}

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	2026-05-18T02:27:44.595324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61feff8c9078c3ac6bb8313d52671386334cec0e9e76c5ab82a0365e0062a26d

Aliases

arxiv: 1405.6505 · arxiv_version: 1405.6505v2 · doi: 10.48550/arxiv.1405.6505 · pith_short_12: MH7P7DEQPDB2 · pith_short_16: MH7P7DEQPDB2Y25Y · pith_short_8: MH7P7DEQ

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/MH7P7DEQPDB2Y25YGE6VEZYTQY \
  | 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: 61feff8c9078c3ac6bb8313d52671386334cec0e9e76c5ab82a0365e0062a26d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89c6c79b6851f0a5a0361913b5253545726cff4bc9bb49d85a352b517883cee6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-26T08:51:24Z",
    "title_canon_sha256": "ea1bd150195bbe29016229abd67e21d626ccd8da1fe957ca2c90bf436edcb1d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6505",
    "kind": "arxiv",
    "version": 2
  }
}