Pith Number

pith:7WZ4ALDD

pith:2015:7WZ4ALDDOSSKKVU7KZISF463MI

not attested not anchored not stored refs pending

A new way to iterate Brzezi\'nski crossed products

Florin Panaite, Leonard D\u{a}u\c{s}

arxiv:1502.00031 v1 · 2015-01-30 · math.QA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WZ4ALDDOSSKKVU7KZISF463MI}

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	2026-05-17T23:56:30.540725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb3c02c6374a4a5569f565122f3db62249a7239d13766a1f817915fe1b5c737

Aliases

arxiv: 1502.00031 · arxiv_version: 1502.00031v1 · doi: 10.48550/arxiv.1502.00031 · pith_short_12: 7WZ4ALDDOSSK · pith_short_16: 7WZ4ALDDOSSKKVU7 · pith_short_8: 7WZ4ALDD

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/7WZ4ALDDOSSKKVU7KZISF463MI \
  | 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: fdb3c02c6374a4a5569f565122f3db62249a7239d13766a1f817915fe1b5c737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b1226cb4675b5c9c92ffc44f24969a0f58e689690b80280220ae5dea9f9d30",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-01-30T22:07:30Z",
    "title_canon_sha256": "5c03f641731d92e3891ed3625e18efb52d4832c1eb607e0581fc460c63b0de32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00031",
    "kind": "arxiv",
    "version": 1
  }
}