Pith Number

pith:PJ7NNIHK

pith:2009:PJ7NNIHKPMJKFOJTIINHWEDXVF

not attested not anchored not stored refs pending

Concentration of random determinants and permanent estimators

Kevin P. Costello, Van Vu

arxiv:0905.1909 v1 · 2009-05-12 · 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{PJ7NNIHKPMJKFOJTIINHWEDXVF}

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	2026-05-18T01:36:52.056906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7ed6a0ea7b12a2b933421a7b1077a9682477b19154dfba318c08ebc21eb529

Aliases

arxiv: 0905.1909 · arxiv_version: 0905.1909v1 · doi: 10.48550/arxiv.0905.1909 · pith_short_12: PJ7NNIHKPMJK · pith_short_16: PJ7NNIHKPMJKFOJT · pith_short_8: PJ7NNIHK

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/PJ7NNIHKPMJKFOJTIINHWEDXVF \
  | 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: 7a7ed6a0ea7b12a2b933421a7b1077a9682477b19154dfba318c08ebc21eb529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f94d940b96a305714798f2e89310ed6291c4474898df07e12e184b9001e714",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-12T17:06:02Z",
    "title_canon_sha256": "ddd3a69f07e3f098b8c5001f7f3ae44c99d1cca31a5fd20aedf3fd1f46765b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1909",
    "kind": "arxiv",
    "version": 1
  }
}