Pith Number

pith:CAFTNREU

pith:2011:CAFTNREUBRI5E23OXZ4RY3SWQH

not attested not anchored not stored refs pending

Permanents of heavy-tailed random matrices with positive elements

Ton\'ci Antunovi\'c

arxiv:1111.3454 v2 · 2011-11-15 · 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{CAFTNREUBRI5E23OXZ4RY3SWQH}

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	2026-05-18T02:39:01.515074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100b36c4940c51d26b6ebe791c6e5681eaf39133517a1537807e7c47828d058a

Aliases

arxiv: 1111.3454 · arxiv_version: 1111.3454v2 · doi: 10.48550/arxiv.1111.3454 · pith_short_12: CAFTNREUBRI5 · pith_short_16: CAFTNREUBRI5E23O · pith_short_8: CAFTNREU

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/CAFTNREUBRI5E23OXZ4RY3SWQH \
  | 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: 100b36c4940c51d26b6ebe791c6e5681eaf39133517a1537807e7c47828d058a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7f489f0aa52d54029df1df4bb9ff79806b9c1e9484360f5c55c608a766f7a2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-15T08:59:43Z",
    "title_canon_sha256": "0a455521ccd9aa59a878a6abcd456017fb623363dab8cbb2f8d10414fa28cc96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3454",
    "kind": "arxiv",
    "version": 2
  }
}