Pith Number

pith:4ZV2BRK3

pith:2013:4ZV2BRK3HTY3HDWYXN4VE3OPQE

not attested not anchored not stored refs pending

Berezin transforms on noncommutative varieties in polydomains

Gelu Popescu

arxiv:1305.7159 v1 · 2013-05-30 · 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{4ZV2BRK3HTY3HDWYXN4VE3OPQE}

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	2026-05-18T03:22:16.272229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66ba0c55b3cf1b38ed8bb79526dcf81218a9373303b5fcab884fd3860350893

Aliases

arxiv: 1305.7159 · arxiv_version: 1305.7159v1 · doi: 10.48550/arxiv.1305.7159 · pith_short_12: 4ZV2BRK3HTY3 · pith_short_16: 4ZV2BRK3HTY3HDWY · pith_short_8: 4ZV2BRK3

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/4ZV2BRK3HTY3HDWYXN4VE3OPQE \
  | 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: e66ba0c55b3cf1b38ed8bb79526dcf81218a9373303b5fcab884fd3860350893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45bc3cc9b095c9fd8d332bb064e6fe04ed0f4803703db86b40bb7336263b03c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-30T16:50:46Z",
    "title_canon_sha256": "270c0335b0a3f8c75514a616f102575366cc5bc7659ddb1bc0feb258719661b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7159",
    "kind": "arxiv",
    "version": 1
  }
}