Pith Number

pith:AYXABBQP

pith:2010:AYXABBQPJVBOAJJMRFXBJRPGFV

not attested not anchored not stored refs pending

Large deviations of the extreme eigenvalues of random deformations of matrices

Alice Guionnet (UMPA-ENSL), CMAP), Florent Benaych-Georges (LPMA, Myl\`ene Ma\"ida (LM-Orsay)

arxiv:1009.0135 v3 · 2010-09-01 · 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{AYXABBQPJVBOAJJMRFXBJRPGFV}

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	2026-05-18T04:19:43.665996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062e00860f4d42e0252c896e14c5e62d438394e4940a5d7bb6bf35091b4ebaff

Aliases

arxiv: 1009.0135 · arxiv_version: 1009.0135v3 · doi: 10.48550/arxiv.1009.0135 · pith_short_12: AYXABBQPJVBO · pith_short_16: AYXABBQPJVBOAJJM · pith_short_8: AYXABBQP

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/AYXABBQPJVBOAJJMRFXBJRPGFV \
  | 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: 062e00860f4d42e0252c896e14c5e62d438394e4940a5d7bb6bf35091b4ebaff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b18e66eca7f131c6250ebfdb3892a63f76953f4f68ff9127adc5d460f2edf528",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-01T09:37:58Z",
    "title_canon_sha256": "3c05286ca775472c3b93b886c6342dd7d007ace01d21cf0fc020443c48074da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0135",
    "kind": "arxiv",
    "version": 3
  }
}