Pith Number

pith:D6JYXDCU

pith:2010:D6JYXDCUPN64GZJ3B5IHDW6XER

not attested not anchored not stored refs pending

On single commutators in II_1-factors

Anna Skripka, Ken Dykema

arxiv:1007.1701 v3 · 2010-07-10 · 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{D6JYXDCUPN64GZJ3B5IHDW6XER}

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	2026-05-18T04:30:02.780474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f938b8c547b7dc3653b0f5071dbd7247c9ea79fb1c823342f27dc4c3411adfc

Aliases

arxiv: 1007.1701 · arxiv_version: 1007.1701v3 · doi: 10.48550/arxiv.1007.1701 · pith_short_12: D6JYXDCUPN64 · pith_short_16: D6JYXDCUPN64GZJ3 · pith_short_8: D6JYXDCU

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/D6JYXDCUPN64GZJ3B5IHDW6XER \
  | 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: 1f938b8c547b7dc3653b0f5071dbd7247c9ea79fb1c823342f27dc4c3411adfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b83708068fc19604309ee55d51e4520e508a201ef6ca3ba8229ab92692160186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-07-10T05:44:29Z",
    "title_canon_sha256": "00f6717349931ad437ab125e4231a3e1ddf8405c3f677394f73f1d9f536c3d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1701",
    "kind": "arxiv",
    "version": 3
  }
}