Pith Number

pith:456HW6CX

pith:2013:456HW6CX33JNER72U5GQ7Z7RQU

not attested not anchored not stored refs pending

Normalizers inside amalgamated free product von Neumann algebras

Stefaan Vaes

arxiv:1305.3225 v1 · 2013-05-14 · math.OA · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{456HW6CX33JNER72U5GQ7Z7RQU}

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	2026-05-18T02:39:24.159731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77c7b7857ded2d247faa74d0fe7f1852b0d3a747f3e8cea1841e84d1ad7a691

Aliases

arxiv: 1305.3225 · arxiv_version: 1305.3225v1 · doi: 10.48550/arxiv.1305.3225 · pith_short_12: 456HW6CX33JN · pith_short_16: 456HW6CX33JNER72 · pith_short_8: 456HW6CX

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/456HW6CX33JNER72U5GQ7Z7RQU \
  | 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: e77c7b7857ded2d247faa74d0fe7f1852b0d3a747f3e8cea1841e84d1ad7a691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5236181f019b09f32477fb4c7e4612797b2e94017fc09c788d4b4bea6f694c",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-14T17:58:10Z",
    "title_canon_sha256": "04c5fd18c3a4d31bc02aaee1e7bc98cf63e4195b9dbdc1033ee17d2568b2a3b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3225",
    "kind": "arxiv",
    "version": 1
  }
}