Pith Number

pith:NOZA32WF

pith:2013:NOZA32WFNFNJU3M5WIKZRENB2H

not attested not anchored not stored refs pending

Linear maps preserving the higher numerical ranges of tensor product of matrices

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

arxiv:1302.1175 v2 · 2013-02-05 · 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{NOZA32WFNFNJU3M5WIKZRENB2H}

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	2026-05-18T03:26:32.033447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb20deac5695a9a6d9db2159891a1d1dd0e8963a64bfc98fcded8467ea6da1e

Aliases

arxiv: 1302.1175 · arxiv_version: 1302.1175v2 · doi: 10.48550/arxiv.1302.1175 · pith_short_12: NOZA32WFNFNJ · pith_short_16: NOZA32WFNFNJU3M5 · pith_short_8: NOZA32WF

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/NOZA32WFNFNJU3M5WIKZRENB2H \
  | 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: 6bb20deac5695a9a6d9db2159891a1d1dd0e8963a64bfc98fcded8467ea6da1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16eae14828eae4b3d3ebd29304e1a6f38065e8df545cb30a9f32259a13829b92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-05T20:07:35Z",
    "title_canon_sha256": "c7c18d6ebf247b6bccdf9f230eedae92c7217b71bcb5f8fa9fc650a5b5ec15d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1175",
    "kind": "arxiv",
    "version": 2
  }
}