Pith Number

pith:C7NY6CYW

pith:2010:C7NY6CYWSTVMLZ6BDHU3UHJVK3

not attested not anchored not stored refs pending

Spectra of random Hermitian matrices with a small-rank external source: supercritical and subcritical regimes

Marco Bertola, Robert Buckingham, Seung-Yeop Lee, Virgil U. Pierce

arxiv:1009.3894 v1 · 2010-09-20 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7NY6CYWSTVMLZ6BDHU3UHJVK3}

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	2026-05-18T04:40:43.542100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17db8f0b1694eac5e7c119e9ba1d3556fdcd86ace89703f8d49dfc28c1b03fd3

Aliases

arxiv: 1009.3894 · arxiv_version: 1009.3894v1 · doi: 10.48550/arxiv.1009.3894 · pith_short_12: C7NY6CYWSTVM · pith_short_16: C7NY6CYWSTVMLZ6B · pith_short_8: C7NY6CYW

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/C7NY6CYWSTVMLZ6BDHU3UHJVK3 \
  | 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: 17db8f0b1694eac5e7c119e9ba1d3556fdcd86ace89703f8d49dfc28c1b03fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccded22375ec3211bd378465823e9f583b2de5e9f54ba5cef93f5fc1a58360c5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-20T17:29:15Z",
    "title_canon_sha256": "6a2280b10f7da4cb78ec7282de6d81b298a548657b170f09289abcf7878ce9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3894",
    "kind": "arxiv",
    "version": 1
  }
}