Pith Number

pith:NHDHMTHG

pith:2012:NHDHMTHGMPMH23KY2ZS5E2RP6J

not attested not anchored not stored refs pending

Linear maps preserving numerical radius of tensor product of matrices

Ajda Fo\v{s}ner, Chi-Kwong Li, Nung-sing Sze, Zejun Huang

arxiv:1212.3134 v2 · 2012-12-13 · 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{NHDHMTHGMPMH23KY2ZS5E2RP6J}

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	2026-05-18T03:26:32.125876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c6764ce663d87d6d58d665d26a2ff25d800b07b225ac4acafa7c64ffcc9431

Aliases

arxiv: 1212.3134 · arxiv_version: 1212.3134v2 · doi: 10.48550/arxiv.1212.3134 · pith_short_12: NHDHMTHGMPMH · pith_short_16: NHDHMTHGMPMH23KY · pith_short_8: NHDHMTHG

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/NHDHMTHGMPMH23KY2ZS5E2RP6J \
  | 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: 69c6764ce663d87d6d58d665d26a2ff25d800b07b225ac4acafa7c64ffcc9431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d500e34cdb3b4fe2359a4a69e28daff21dc52eeffd2925947ab218f31537f2f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-13T11:38:34Z",
    "title_canon_sha256": "8b11beb483dde78cfc47b208ad44a9b8823f5aa7e498b41a3ad12e9b5bf7c3d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3134",
    "kind": "arxiv",
    "version": 2
  }
}