Pith Number

pith:VWTP7Z4B

pith:2025:VWTP7Z4BPI7H6LUSSFXW2JJG2D

not attested not anchored not stored refs pending

What is a double star-product?

Nikita Safonkin

arxiv:2506.00699 v4 · 2025-05-31 · math.QA · math-ph · math.MP · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWTP7Z4BPI7H6LUSSFXW2JJG2D}

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	2026-05-20T00:04:10.132946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada6ffe7817a3e7f2e92916f6d2526d0ce06bff0a2b1cf07fffefe9e6541b3dc

Aliases

arxiv: 2506.00699 · arxiv_version: 2506.00699v4 · doi: 10.48550/arxiv.2506.00699 · pith_short_12: VWTP7Z4BPI7H · pith_short_16: VWTP7Z4BPI7H6LUS · pith_short_8: VWTP7Z4B

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/VWTP7Z4BPI7H6LUSSFXW2JJG2D \
  | 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: ada6ffe7817a3e7f2e92916f6d2526d0ce06bff0a2b1cf07fffefe9e6541b3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45fd2534de77192086dbb2694172aa7475292d3e5e77d8c8821bf330720db5bf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-05-31T20:13:24Z",
    "title_canon_sha256": "ed2063f7f3e56ba6546da8b54e8ffe3928fc0123e3cb35a8a41d9db92a2eb7fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00699",
    "kind": "arxiv",
    "version": 4
  }
}