Pith Number

pith:7J7GA3NN

pith:2011:7J7GA3NNSFROYC4FVOXHYESTXU

not attested not anchored not stored refs pending

On the least singular value of random symmetric matrices

Hoi H. Nguyen

arxiv:1102.1476 v2 · 2011-02-08 · math.CO · 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{7J7GA3NNSFROYC4FVOXHYESTXU}

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	2026-05-18T04:26:34.127716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa7e606dad9162ec0b85abae7c1253bd296e19dbcddec1d083a9ccf28d4cff29

Aliases

arxiv: 1102.1476 · arxiv_version: 1102.1476v2 · doi: 10.48550/arxiv.1102.1476 · pith_short_12: 7J7GA3NNSFRO · pith_short_16: 7J7GA3NNSFROYC4F · pith_short_8: 7J7GA3NN

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/7J7GA3NNSFROYC4FVOXHYESTXU \
  | 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: fa7e606dad9162ec0b85abae7c1253bd296e19dbcddec1d083a9ccf28d4cff29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a91721a59e81b1a22aed46b0ecff197a7a951617f4e0ccdd34f1b3779efe2b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-08T00:01:31Z",
    "title_canon_sha256": "cdc678cb6723105f92cecefb04f31e5b7fa723aeebf80e95372e5a8d28a56bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1476",
    "kind": "arxiv",
    "version": 2
  }
}