Pith Number

pith:5K5TRN6V

pith:2014:5K5TRN6V5CWNIQB6UEIKQDH7DH

not attested not anchored not stored refs pending

Anti-norms on finite von Neumann algebras

Fumio Hiai, Jean-Christophe Bourin

arxiv:1405.2509 v2 · 2014-05-11 · math.OA · 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{5K5TRN6V5CWNIQB6UEIKQDH7DH}

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	2026-05-18T02:29:17.433885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eabb38b7d5e8acd4403ea110a80cff19f5ec6692645a13496f4cea376b68d361

Aliases

arxiv: 1405.2509 · arxiv_version: 1405.2509v2 · doi: 10.48550/arxiv.1405.2509 · pith_short_12: 5K5TRN6V5CWN · pith_short_16: 5K5TRN6V5CWNIQB6 · pith_short_8: 5K5TRN6V

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/5K5TRN6V5CWNIQB6UEIKQDH7DH \
  | 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: eabb38b7d5e8acd4403ea110a80cff19f5ec6692645a13496f4cea376b68d361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e73e5dfcb909775eeade9fed949e5a115ad98f54652472513a49f81353d15fe",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-05-11T08:05:27Z",
    "title_canon_sha256": "27ec9be9c72f8ec13fa8ade9a57e71d4bfbdaffbc68c437a040d38926ad05231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2509",
    "kind": "arxiv",
    "version": 2
  }
}