Pith Number

pith:QGMTOGHH

pith:2022:QGMTOGHHOMIWW6M7TUBW7LZWWM

not attested not anchored not stored refs pending

Deformed single ring theorems

Ching-Wei Ho, Ping Zhong

arxiv:2210.11147 v4 · 2022-10-20 · math.PR · math-ph · math.MP · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGMTOGHHOMIWW6M7TUBW7LZWWM}

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

Convergence of the Laws of Non-Hermitian Sums of Projections

Receipt and verification

First computed	2026-07-05T09:48:58.767619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81993718e773116b799f9d036faf36b3083a1637a35b5283b8aa12608e5ae9d4

Aliases

arxiv: 2210.11147 · arxiv_version: 2210.11147v4 · doi: 10.48550/arxiv.2210.11147 · pith_short_12: QGMTOGHHOMIW · pith_short_16: QGMTOGHHOMIWW6M7 · pith_short_8: QGMTOGHH

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/QGMTOGHHOMIWW6M7TUBW7LZWWM \
  | 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: 81993718e773116b799f9d036faf36b3083a1637a35b5283b8aa12608e5ae9d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f916244acb72fbec3dc168985992917986d401d4713ac50450213a2fc3fd0e34",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-10-20T10:25:59Z",
    "title_canon_sha256": "322b02a3f329335179ffc22e9579dc3482a059622c2d5cbe7f2008e4ec96bf6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.11147",
    "kind": "arxiv",
    "version": 4
  }
}