Pith Number

pith:GRP5TBCQ

pith:2011:GRP5TBCQ7UV3HMBB5CW2RMDDG2

not attested not anchored not stored refs pending

The singular values and vectors of low rank perturbations of large rectangular random matrices

CMAP), Florent Benaych-Georges (LPMA, Raj Rao Nadakuditi (EECS)

arxiv:1103.2221 v2 · 2011-03-11 · 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{GRP5TBCQ7UV3HMBB5CW2RMDDG2}

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	2026-05-18T04:03:54.563127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345fd98450fd2bb3b021e8ada8b06336a76691e51886bf4d1a33f6671ac25091

Aliases

arxiv: 1103.2221 · arxiv_version: 1103.2221v2 · doi: 10.48550/arxiv.1103.2221 · pith_short_12: GRP5TBCQ7UV3 · pith_short_16: GRP5TBCQ7UV3HMBB · pith_short_8: GRP5TBCQ

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/GRP5TBCQ7UV3HMBB5CW2RMDDG2 \
  | 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: 345fd98450fd2bb3b021e8ada8b06336a76691e51886bf4d1a33f6671ac25091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2597549579989d76a53acaf21b2299a5739452cb99f01a9fd8bc1df2a9fe8bae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-11T09:24:13Z",
    "title_canon_sha256": "f15a09711330aec456151ad88b035ff32a751e157a1af1ec7b7ff4e789011e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2221",
    "kind": "arxiv",
    "version": 2
  }
}