Pith Number

pith:SNFWZGIC

pith:2015:SNFWZGICQNQTF2XQW5SOIYYAIL

not attested not anchored not stored refs pending

On the interval of fluctuation of the singular values of random matrices

Alain Pajor, Alexander E. Litvak, Nicole Tomczak-Jaegermann, Olivier Gu\'edon

arxiv:1509.02322 v1 · 2015-09-08 · math.PR · cs.IT · math.FA · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNFWZGICQNQTF2XQW5SOIYYAIL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:33:41.219117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934b6c9902836132eaf0b764e4630042df4a83292226bd8b24dbb69156c21aba

Aliases

arxiv: 1509.02322 · arxiv_version: 1509.02322v1 · doi: 10.48550/arxiv.1509.02322 · pith_short_12: SNFWZGICQNQT · pith_short_16: SNFWZGICQNQTF2XQ · pith_short_8: SNFWZGIC

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/SNFWZGICQNQTF2XQW5SOIYYAIL \
  | 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: 934b6c9902836132eaf0b764e4630042df4a83292226bd8b24dbb69156c21aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4898c99d760d69542d9c7e90fc4b9cc7f4bf89b26774ce3fbc462c197fbc2c5c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.FA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-08T11:05:17Z",
    "title_canon_sha256": "667c298c955125d7789db36485db487a1ffa9dfb702e20b6afa4e1ae67cce601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02322",
    "kind": "arxiv",
    "version": 1
  }
}