Pith Number

pith:ACUVOQXH

pith:2013:ACUVOQXHMCKBXITXEQKZFGNCPN

not attested not anchored not stored refs pending

Berezin transforms on noncommutative polydomains

Gelu Popescu

arxiv:1304.8043 v1 · 2013-04-30 · math.FA · 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{ACUVOQXHMCKBXITXEQKZFGNCPN}

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	2026-05-18T03:26:51.064732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00a95742e760941ba27724159299a27b5215012cd4d4cdff15ac3a5386419291

Aliases

arxiv: 1304.8043 · arxiv_version: 1304.8043v1 · doi: 10.48550/arxiv.1304.8043 · pith_short_12: ACUVOQXHMCKB · pith_short_16: ACUVOQXHMCKBXITX · pith_short_8: ACUVOQXH

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/ACUVOQXHMCKBXITXEQKZFGNCPN \
  | 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: 00a95742e760941ba27724159299a27b5215012cd4d4cdff15ac3a5386419291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e238abe4629105f5e6d20195ccb8134ab84dbbd7b69296e50277e8d11ee885f9",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-30T15:54:05Z",
    "title_canon_sha256": "28fa1fc674d93e2bf2732db154de20fdebe24d68e9eda7a1de6b2fbff3687def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.8043",
    "kind": "arxiv",
    "version": 1
  }
}