Pith Number

pith:KRMYFKTR

pith:2026:KRMYFKTRT62WAKM2IS3PQAUTLH

not attested not anchored not stored refs pending

Numerical radius of certain two-by-two block matrices

Chi-Kwong Li, Hwa-Long Gau, Jia-Huo Hong, Kuo-Zhong Wang

arxiv:2606.08576 v1 · 2026-06-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRMYFKTRT62WAKM2IS3PQAUTLH}

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	2026-06-09T01:05:40.620908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545982aa719fb560299a44b6f8029359c685c4d5425b75f08cd33179cbe1cb6d

Aliases

arxiv: 2606.08576 · arxiv_version: 2606.08576v1 · doi: 10.48550/arxiv.2606.08576 · pith_short_12: KRMYFKTRT62W · pith_short_16: KRMYFKTRT62WAKM2 · pith_short_8: KRMYFKTR

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/KRMYFKTRT62WAKM2IS3PQAUTLH \
  | 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: 545982aa719fb560299a44b6f8029359c685c4d5425b75f08cd33179cbe1cb6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f78152d32d72980ec626e8bdee86c48d809cf4cdfcee8dfe87c009caa05fe30a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-07T11:12:40Z",
    "title_canon_sha256": "210b441dc1af0164e5ce994ca3fda69b12c0eb4feb3c2d393e34ec8992830d21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08576",
    "kind": "arxiv",
    "version": 1
  }
}