Pith Number

pith:LFU4AYEH

pith:2026:LFU4AYEHJMG7BYI6KGCUYOFFQO

not attested not anchored not stored refs pending

A Borodin-Okounkov-Geronimo-Case identity for tilted Toeplitz minors

Leonid Petrov

arxiv:2605.24976 v1 · 2026-05-24 · math.FA · math.CA · 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{LFU4AYEHJMG7BYI6KGCUYOFFQO}

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	2026-05-26T01:04:08.937130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5969c060874b0df0e11e51854c38a5838c7b2ab3ad2e57b5a0a737db3b6a2053

Aliases

arxiv: 2605.24976 · arxiv_version: 2605.24976v1 · doi: 10.48550/arxiv.2605.24976 · pith_short_12: LFU4AYEHJMG7 · pith_short_16: LFU4AYEHJMG7BYI6 · pith_short_8: LFU4AYEH

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/LFU4AYEHJMG7BYI6KGCUYOFFQO \
  | 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: 5969c060874b0df0e11e51854c38a5838c7b2ab3ad2e57b5a0a737db3b6a2053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2acc01761dd20e3f842ca832f31f8b4b99f51e7f8c1e5e9f2cb0e6e4daf41260",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-24T10:14:14Z",
    "title_canon_sha256": "fb2ca3ba6c174cf8291e17da514c945a0278700e21ba070d2aeeff2ebf48c44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24976",
    "kind": "arxiv",
    "version": 1
  }
}