Pith Number

pith:AKEWV2UZ

pith:2012:AKEWV2UZOLORYR2SACLIYMWWMB

not attested not anchored not stored refs pending

The outliers among the singular values of large rectangular random matrices with additive fixed rank deformation

Francois Chapon (IMT), Romain Couillet (SSEC), Walid Hachem (LTCI), Xavier Mestre (CTTC)

arxiv:1207.0471 v2 · 2012-07-02 · 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{AKEWV2UZOLORYR2SACLIYMWWMB}

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	2026-05-18T03:35:54.034135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02896aea9972dd1c475200968c32d6604474f8159bb9845f62374c2a4377f480

Aliases

arxiv: 1207.0471 · arxiv_version: 1207.0471v2 · doi: 10.48550/arxiv.1207.0471 · pith_short_12: AKEWV2UZOLOR · pith_short_16: AKEWV2UZOLORYR2S · pith_short_8: AKEWV2UZ

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/AKEWV2UZOLORYR2SACLIYMWWMB \
  | 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: 02896aea9972dd1c475200968c32d6604474f8159bb9845f62374c2a4377f480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc1943351567516c8bcf22c40266d791378b355be66262d1f9ce1a9d66c0105e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-02T18:54:36Z",
    "title_canon_sha256": "68c75f33aba040bb66a2374cc1e4c7f5e5a001728acf403bbe0328e11296bb3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0471",
    "kind": "arxiv",
    "version": 2
  }
}