Pith Number

pith:LIAIQNMA

pith:2013:LIAIQNMAKQT3YDEPD3CDYO53X6

not attested not anchored not stored refs pending

Spectral distribution of large-size Brownian motions on the complex linear group

Nizar Demni, Tarek Hamdi

arxiv:1307.4027 v2 · 2013-07-15 · math.CA · 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{LIAIQNMAKQT3YDEPD3CDYO53X6}

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	2026-05-18T01:12:43.635740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a008835805427bc0c8f1ec43c3bbbbf9e4b680eab69e0cb9737ead2cdeee0ff

Aliases

arxiv: 1307.4027 · arxiv_version: 1307.4027v2 · doi: 10.48550/arxiv.1307.4027 · pith_short_12: LIAIQNMAKQT3 · pith_short_16: LIAIQNMAKQT3YDEP · pith_short_8: LIAIQNMA

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/LIAIQNMAKQT3YDEPD3CDYO53X6 \
  | 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: 5a008835805427bc0c8f1ec43c3bbbbf9e4b680eab69e0cb9737ead2cdeee0ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9058b229cf044d4fb71213aad9ddeee527ae9f9831db38dbccf725f5e609c18",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-15T17:25:31Z",
    "title_canon_sha256": "1bf2adcba3777698c6cd7676cba56ede566d7f6a1160de50a36647fd2a18572b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4027",
    "kind": "arxiv",
    "version": 2
  }
}