Pith Number

pith:ZVP5RFOW

pith:2026:ZVP5RFOWLPLEMQ46C5PHCZ7CRL

not attested not anchored not stored refs pending

Algebraic Maximal Numerical Range and its preservers of Triple Products on $C^*$-Algebras

Jinchuan Hou, Xiaofei Qi, Yongqi Fan

arxiv:2607.12623 v1 · 2026-07-14 · 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{ZVP5RFOWLPLEMQ46C5PHCZ7CRL}

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	2026-07-15T01:22:07.271104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd5fd895d65bd646439e175e7167e28ac7eb17cc04ce6d353dec4f8d3769862b

Aliases

arxiv: 2607.12623 · arxiv_version: 2607.12623v1 · doi: 10.48550/arxiv.2607.12623 · pith_short_12: ZVP5RFOWLPLE · pith_short_16: ZVP5RFOWLPLEMQ46 · pith_short_8: ZVP5RFOW

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/ZVP5RFOWLPLEMQ46C5PHCZ7CRL \
  | 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: cd5fd895d65bd646439e175e7167e28ac7eb17cc04ce6d353dec4f8d3769862b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "874200b6e9d6a7c72721444a9387bf7101f9c84c6c78380bce8a11d80b207f19",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-14T11:00:23Z",
    "title_canon_sha256": "bcd0b355a19bb07416793172f964890acea815282d011a079275b960e22e9b35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12623",
    "kind": "arxiv",
    "version": 1
  }
}