Pith Number

pith:ZP3FIFZI

pith:2015:ZP3FIFZIPNKF5VI3WYXVIGMZ6O

not attested not anchored not stored refs pending

Holomorphic automorphisms of noncommutative polyballs

Gelu Popescu

arxiv:1502.07905 v1 · 2015-02-27 · 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{ZP3FIFZIPNKF5VI3WYXVIGMZ6O}

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	2026-05-18T02:26:01.884458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf65417287b545ed51bb62f541999f39d59c74910914cc818f181b1239a05ae

Aliases

arxiv: 1502.07905 · arxiv_version: 1502.07905v1 · doi: 10.48550/arxiv.1502.07905 · pith_short_12: ZP3FIFZIPNKF · pith_short_16: ZP3FIFZIPNKF5VI3 · pith_short_8: ZP3FIFZI

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/ZP3FIFZIPNKF5VI3WYXVIGMZ6O \
  | 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: cbf65417287b545ed51bb62f541999f39d59c74910914cc818f181b1239a05ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9dfecc539116e9d11866bd482160d05508a2d4acac271c9ca38d03777ee7190",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-02-27T14:18:21Z",
    "title_canon_sha256": "da27f45ed78e77c601f82588fac3936d4d34f1b5e4364faa9a89329317f089a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07905",
    "kind": "arxiv",
    "version": 1
  }
}