Pith Number

pith:E5OTJVU7

pith:2026:E5OTJVU7PQ2FCGPN7L7NWXCDXQ

not attested not anchored not stored refs pending

An RDT based confirmation of Lehner's formula for Kronecker-Gaussian matrices

Mihailo Stojnic

arxiv:2607.26551 v1 · 2026-07-29 · math.PR · cs.IT · math.IT · 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{E5OTJVU7PQ2FCGPN7L7NWXCDXQ}

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	2026-07-30T01:20:51.689812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

275d34d69f7c345119edfafedb5c43bc213e293e87ab401141cf0e83de2ec1df

Aliases

arxiv: 2607.26551 · arxiv_version: 2607.26551v1 · doi: 10.48550/arxiv.2607.26551 · pith_short_12: E5OTJVU7PQ2F · pith_short_16: E5OTJVU7PQ2FCGPN · pith_short_8: E5OTJVU7

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/E5OTJVU7PQ2FCGPN7L7NWXCDXQ \
  | 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: 275d34d69f7c345119edfafedb5c43bc213e293e87ab401141cf0e83de2ec1df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c275a7738c98cf627557e1a99641fee9f6a013fdb18cfdf2c831e85057e235",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-29T07:23:26Z",
    "title_canon_sha256": "8aaaff55b56e28e509c03eeee1caf0a1f371bc0e6784cbccd94eeeb438fec5ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26551",
    "kind": "arxiv",
    "version": 1
  }
}