Pith Number

pith:XIT2LKV4

pith:2026:XIT2LKV4JETSN4QOTORDSDUGKO

not attested not anchored not stored refs pending

Amenable traces and the joint numerical radius

Ebrahim Samei, Mizanur Rahaman, Vern I. Paulsen

arxiv:2606.18369 v1 · 2026-06-16 · math.OA · 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{XIT2LKV4JETSN4QOTORDSDUGKO}

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	2026-06-19T16:10:59.244698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba27a5aabc492726f20e9ba2390e86538b303d226eb4960d8b2186df94712d52

Aliases

arxiv: 2606.18369 · arxiv_version: 2606.18369v1 · doi: 10.48550/arxiv.2606.18369 · pith_short_12: XIT2LKV4JETS · pith_short_16: XIT2LKV4JETSN4QO · pith_short_8: XIT2LKV4

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/XIT2LKV4JETSN4QOTORDSDUGKO \
  | 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: ba27a5aabc492726f20e9ba2390e86538b303d226eb4960d8b2186df94712d52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bde1faa970bbbffd84175252129d49e0412af6aeddf7f4ec4fcaa6e16ea8c66f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-16T18:17:10Z",
    "title_canon_sha256": "cf700ff6e4452090287af91d35b3c4deab1ef182cf6ba91d8ba9e7aabfd0f318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18369",
    "kind": "arxiv",
    "version": 1
  }
}