Pith Number

pith:FVRFLVRS

pith:2013:FVRFLVRSJHBLVSFJA2W3LK23II

not attested not anchored not stored refs pending

The lower tail of random quadratic forms, with applications to ordinary least squares and restricted eigenvalue properties

Roberto Imbuzeiro Oliveira

arxiv:1312.2903 v1 · 2013-12-10 · math.PR · cs.IT · math.IT · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVRFLVRSJHBLVSFJA2W3LK23II}

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	2026-05-18T03:05:08.083887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d6255d63249c2bac8a906adb5ab5b422abfb76d00b72a221950bc13418fcbf2

Aliases

arxiv: 1312.2903 · arxiv_version: 1312.2903v1 · doi: 10.48550/arxiv.1312.2903 · pith_short_12: FVRFLVRSJHBL · pith_short_16: FVRFLVRSJHBLVSFJ · pith_short_8: FVRFLVRS

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/FVRFLVRSJHBLVSFJA2W3LK23II \
  | 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: 2d6255d63249c2bac8a906adb5ab5b422abfb76d00b72a221950bc13418fcbf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de39106e5c2504a015ededc60b1c5e53e617deccc0a5b7186b1fbdd46605f952",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-10T18:15:44Z",
    "title_canon_sha256": "91548b235c60880bd1f12872a84f257fea510e8b6e3fe696844d5bfbe25ee8c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2903",
    "kind": "arxiv",
    "version": 1
  }
}