Pith Number

pith:DBEOKNVC

pith:2012:DBEOKNVCCGYLZA6ILCQFSAS32I

not attested not anchored not stored refs pending

The logarithmic law of random determinant

Guangming Pan, Wang Zhou, Zhigang Bao

arxiv:1208.5823 v2 · 2012-08-29 · 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{DBEOKNVCCGYLZA6ILCQFSAS32I}

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	2026-05-18T01:36:15.952443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1848e536a211b0bc83c858a059025bd21a5aa87ced9c74d354b8762d154b889e

Aliases

arxiv: 1208.5823 · arxiv_version: 1208.5823v2 · doi: 10.48550/arxiv.1208.5823 · pith_short_12: DBEOKNVCCGYL · pith_short_16: DBEOKNVCCGYLZA6I · pith_short_8: DBEOKNVC

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/DBEOKNVCCGYLZA6ILCQFSAS32I \
  | 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: 1848e536a211b0bc83c858a059025bd21a5aa87ced9c74d354b8762d154b889e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eced94c8b94fd844ce38ee62c1ca21f0818a8be1999875b57033c37eb980c638",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-29T02:14:35Z",
    "title_canon_sha256": "d20a4d0c9cfcd9e13e5aa15ccb7b6d8618de45af21813ff3f6fd019086ca0086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5823",
    "kind": "arxiv",
    "version": 2
  }
}