Pith Number

pith:K4XWASKO

pith:2008:K4XWASKOG4FZR3YTR7NBLZXKKZ

not attested not anchored not stored refs pending

Noncommutative ball maps

Igor Klep, J. William Helton, Nick Slinglend, Scott McCullough

arxiv:0809.4874 v1 · 2008-09-28 · 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{K4XWASKOG4FZR3YTR7NBLZXKKZ}

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	2026-05-18T04:24:06.464816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572f60494e370b98ef138fda15e6ea565073582ba96fae45b6263fa58cd2d301

Aliases

arxiv: 0809.4874 · arxiv_version: 0809.4874v1 · doi: 10.48550/arxiv.0809.4874 · pith_short_12: K4XWASKOG4FZ · pith_short_16: K4XWASKOG4FZR3YT · pith_short_8: K4XWASKO

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/K4XWASKOG4FZR3YTR7NBLZXKKZ \
  | 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: 572f60494e370b98ef138fda15e6ea565073582ba96fae45b6263fa58cd2d301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7deb69b10f2330e1e9fb49f74809c0feac7d864dad252f392d30fad0289d5cf",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-09-28T22:18:30Z",
    "title_canon_sha256": "0f137e0e56a18e5078042413a9e18ecf5d5540b568ae184f486f85cbeae92118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4874",
    "kind": "arxiv",
    "version": 1
  }
}