Pith Number

pith:GLITWF74

pith:2025:GLITWF74ZPOTCSLFIVMSKU47KF

not attested not anchored not stored refs pending

Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

Joel A. Tropp

arxiv:2501.16578 v1 · 2025-01-27 · math.PR · cs.NA · math.NA · math.ST · 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{GLITWF74ZPOTCSLFIVMSKU47KF}

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.

Cited by

1 paper in Pith

Faster Linear Algebra Algorithms with Structured Random Matrices

Receipt and verification

First computed	2026-07-05T10:06:15.367665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d13b17fccbdd314965455925539f5175373f9c7b325afc8cb5f7edcbf6ea9e

Aliases

arxiv: 2501.16578 · arxiv_version: 2501.16578v1 · doi: 10.48550/arxiv.2501.16578 · pith_short_12: GLITWF74ZPOT · pith_short_16: GLITWF74ZPOTCSLF · pith_short_8: GLITWF74

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/GLITWF74ZPOTCSLFIVMSKU47KF \
  | 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: 32d13b17fccbdd314965455925539f5175373f9c7b325afc8cb5f7edcbf6ea9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c810a9199fb5efc27c5ad0ceef44cbb4de1d71e89417e573fd9a022b901f464a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-27T23:44:56Z",
    "title_canon_sha256": "36b07fc5c59cebf4652919ee220ea5998c1e9aa88b2942f97314a2247931e128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16578",
    "kind": "arxiv",
    "version": 1
  }
}