Pith Number

pith:X5F77BXM

pith:2024:X5F77BXM56EFJHTKQCPL57UW2G

not attested not anchored not stored refs pending

Bulk Spectra of Truncated Sample Covariance Matrices

Himasish Talukdar, Soumendu Sundar Mukherjee, Subhroshekhar Ghosh

arxiv:2409.02911 v1 · 2024-09-04 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5F77BXM56EFJHTKQCPL57UW2G}

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	2026-07-05T09:03:12.399034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf4bff86ecef88549e6a809ebefe96d19d0c0b1af34e812b647f5656399e6735

Aliases

arxiv: 2409.02911 · arxiv_version: 2409.02911v1 · doi: 10.48550/arxiv.2409.02911 · pith_short_12: X5F77BXM56EF · pith_short_16: X5F77BXM56EFJHTK · pith_short_8: X5F77BXM

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/X5F77BXM56EFJHTKQCPL57UW2G \
  | 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: bf4bff86ecef88549e6a809ebefe96d19d0c0b1af34e812b647f5656399e6735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992b0ca0e16250223427095a555b4d70a13efd91ccba96079f099d8e31a18445",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-09-04T17:50:28Z",
    "title_canon_sha256": "4b78e5a1df9ff8078343dd3881c71cafae86bd54b89aaf831c174a3f1d9593a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02911",
    "kind": "arxiv",
    "version": 1
  }
}