Pith Number

pith:53WOGM24

pith:2026:53WOGM24DJCB6VIW7GKATPHCEW

not attested not anchored not stored refs pending

On the smallest singular value of the product of random and deterministic matrices

Achintya Raya Polavarapu, Brayden Letwin

arxiv:2607.06785 v1 · 2026-07-07 · 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{53WOGM24DJCB6VIW7GKATPHCEW}

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	2026-07-09T00:19:26.895008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeece3335c1a441f5516f99409bce22587fc1420a7e09ee8ede1010b15325f27

Aliases

arxiv: 2607.06785 · arxiv_version: 2607.06785v1 · doi: 10.48550/arxiv.2607.06785 · pith_short_12: 53WOGM24DJCB · pith_short_16: 53WOGM24DJCB6VIW · pith_short_8: 53WOGM24

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/53WOGM24DJCB6VIW7GKATPHCEW \
  | 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: eeece3335c1a441f5516f99409bce22587fc1420a7e09ee8ede1010b15325f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5dfbb314fd176426facbf51d9030446d88db11143c70d5579f4bae128115d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-07T20:31:42Z",
    "title_canon_sha256": "856bde31951129e21a6202f8ee30e04958b4a6a6027879af6f482e8ff09e7594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06785",
    "kind": "arxiv",
    "version": 1
  }
}