Pith Number

pith:26GXIADU

pith:2013:26GXIADUNSBXQMQG4MGCIG3WFJ

not attested not anchored not stored refs pending

A decomposition theorem in II_1-factors

D. Zanin, F. Sukochev, K. Dykema

arxiv:1302.1114 v2 · 2013-02-05 · 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{26GXIADUNSBXQMQG4MGCIG3WFJ}

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	2026-05-18T03:20:58.453439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78d7400746c83783206e30c241b762a5f8b8c69a367628eba7c6e3296a4a963

Aliases

arxiv: 1302.1114 · arxiv_version: 1302.1114v2 · doi: 10.48550/arxiv.1302.1114 · pith_short_12: 26GXIADUNSBX · pith_short_16: 26GXIADUNSBXQMQG · pith_short_8: 26GXIADU

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/26GXIADUNSBXQMQG4MGCIG3WFJ \
  | 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: d78d7400746c83783206e30c241b762a5f8b8c69a367628eba7c6e3296a4a963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae6766ab3b41c7454fde6c05605a461594c047b5d488c021e60d4ec1fd23be8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-02-05T16:54:54Z",
    "title_canon_sha256": "a64fbfd2dc5e3b67d49cc0c445083abc1f02fa49ffee4e0f79e45ab76f7e0b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1114",
    "kind": "arxiv",
    "version": 2
  }
}