Pith Number

pith:NJ3RULUQ

pith:2012:NJ3RULUQIR6KRNSHGPMUYEKZXU

not attested not anchored not stored refs pending

Free product von Neumann algebras associated to graphs and Guionnet, Jones, Shlyakhtenko subfactors in infinite Depth

Michael Hartglass

arxiv:1208.2933 v1 · 2012-08-14 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJ3RULUQIR6KRNSHGPMUYEKZXU}

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	2026-05-18T03:48:46.890207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a771a2e90447ca8b64733d94c1159bd0f110a289f01d1bf2c188385f586f7af

Aliases

arxiv: 1208.2933 · arxiv_version: 1208.2933v1 · doi: 10.48550/arxiv.1208.2933 · pith_short_12: NJ3RULUQIR6K · pith_short_16: NJ3RULUQIR6KRNSH · pith_short_8: NJ3RULUQ

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/NJ3RULUQIR6KRNSHGPMUYEKZXU \
  | 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: 6a771a2e90447ca8b64733d94c1159bd0f110a289f01d1bf2c188385f586f7af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38ae0180133b1cc07ffd4d5bd2138aa043a88b2545237d95b95e09b2f31d56d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-08-14T17:52:52Z",
    "title_canon_sha256": "3451b8003ab691d936b4c371ab3f65033d2586e91d6925ac4368c52d784b680d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2933",
    "kind": "arxiv",
    "version": 1
  }
}