Pith Number

pith:QLEIX6IL

pith:2013:QLEIX6ILFXWTCEPPUXJDSLR5BB

not attested not anchored not stored refs pending

Two properties of vectors of quadratic forms in Gaussian random variables

Egor D. Kosov, Guillaume Poly (FSTC), Ivan Nourdin (IECL), Vladimir I. Bogachev

arxiv:1305.5990 v1 · 2013-05-26 · 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{QLEIX6ILFXWTCEPPUXJDSLR5BB}

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	2026-05-18T03:24:53.190515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c88bf90b2ded3111efa5d2392e3d0879d767c3b8ac748c39183e97819fb325

Aliases

arxiv: 1305.5990 · arxiv_version: 1305.5990v1 · doi: 10.48550/arxiv.1305.5990 · pith_short_12: QLEIX6ILFXWT · pith_short_16: QLEIX6ILFXWTCEPP · pith_short_8: QLEIX6IL

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/QLEIX6ILFXWTCEPPUXJDSLR5BB \
  | 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: 82c88bf90b2ded3111efa5d2392e3d0879d767c3b8ac748c39183e97819fb325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59cd1838693c834e916e719571703b2c491b2b99b5d0ab4d3f63d0910d047dee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-26T06:03:39Z",
    "title_canon_sha256": "1085b1314267de70ee412467528ee156bc983b512671c1e5088035b8006ce93c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5990",
    "kind": "arxiv",
    "version": 1
  }
}