Pith Number

pith:JIAVTMB7

pith:2012:JIAVTMB7GA3DC4JFSIP33WACXS

not attested not anchored not stored refs pending

Linear maps preserving Ky Fan norms and Schatten norms of tensor products of matrices

Ajda Fosner, Chi-Kwong Li, Nung-sing Sze, Zejun Huang

arxiv:1211.0396 v2 · 2012-11-02 · math.FA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIAVTMB7GA3DC4JFSIP33WACXS}

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	2026-05-18T03:28:29.365506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a0159b03f3036317125921fbdd802bcb70cb9880e4dce525a1731ca2cebaf91

Aliases

arxiv: 1211.0396 · arxiv_version: 1211.0396v2 · doi: 10.48550/arxiv.1211.0396 · pith_short_12: JIAVTMB7GA3D · pith_short_16: JIAVTMB7GA3DC4JF · pith_short_8: JIAVTMB7

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/JIAVTMB7GA3DC4JFSIP33WACXS \
  | 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: 4a0159b03f3036317125921fbdd802bcb70cb9880e4dce525a1731ca2cebaf91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b928faecbd06aea6cd4648516f0849e6acff46156e29a142f21f4f9e46b101e",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-02T08:54:16Z",
    "title_canon_sha256": "1a7278c067b58568433cc46350a6b8969e048cee51fa3f0630cd915d83dba9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0396",
    "kind": "arxiv",
    "version": 2
  }
}