Pith Number

pith:KHA2PVQK

pith:2026:KHA2PVQK37DUGWWPMKICIEKXZM

not attested not anchored not stored refs pending

Top Singular Value in Sum-Products of Random Matrices

Boris Hanin, Kevin Han Huang

arxiv:2607.04047 v1 · 2026-07-04 · math.PR · 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{KHA2PVQK37DUGWWPMKICIEKXZM}

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	2026-07-07T02:18:54.902840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c1a7d60adfc7435acf6290241157cb099a22408cf7552305724a5c5d68cd6d

Aliases

arxiv: 2607.04047 · arxiv_version: 2607.04047v1 · doi: 10.48550/arxiv.2607.04047 · pith_short_12: KHA2PVQK37DU · pith_short_16: KHA2PVQK37DUGWWP · pith_short_8: KHA2PVQK

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/KHA2PVQK37DUGWWPMKICIEKXZM \
  | 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: 51c1a7d60adfc7435acf6290241157cb099a22408cf7552305724a5c5d68cd6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c3d5d423358bca52ff05d29d02f7cdafdf11311aa4c5c388abb4344191b854",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-04T22:28:50Z",
    "title_canon_sha256": "d3abf7e45e438d30fce5557b9395b2f34963e644d670a549145ad8d7c487325e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04047",
    "kind": "arxiv",
    "version": 1
  }
}