Pith Number

pith:YAH3EURW

pith:2013:YAH3EURWRWZRYYFS5B4AX5MVLS

not attested not anchored not stored refs pending

A logarithmic minimization property of the unitary polar factor in the spectral norm and the Frobenius matrix norm

Andreas Fischle, Patrizio Neff, Yuji Nakatsukasa

arxiv:1302.3235 v4 · 2013-02-13 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAH3EURWRWZRYYFS5B4AX5MVLS}

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	2026-05-18T03:03:32.346731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c00fb252368db31c60b2e8780bf5955cb70baa15de48c6396fefb4257b5dd063

Aliases

arxiv: 1302.3235 · arxiv_version: 1302.3235v4 · doi: 10.48550/arxiv.1302.3235 · pith_short_12: YAH3EURWRWZR · pith_short_16: YAH3EURWRWZRYYFS · pith_short_8: YAH3EURW

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/YAH3EURWRWZRYYFS5B4AX5MVLS \
  | 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: c00fb252368db31c60b2e8780bf5955cb70baa15de48c6396fefb4257b5dd063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6cc8bb85f624e46c12241a297258527846043419f66a4138678f406a9982fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-13T21:07:58Z",
    "title_canon_sha256": "58e57076b69ddf923958a84b0946bfaab7643625757c16d3bc31ecadff8c1dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3235",
    "kind": "arxiv",
    "version": 4
  }
}