Pith Number

pith:M3A4DVPW

pith:1993:M3A4DVPW6RA6TTLJBTPAPCDRDY

not attested not anchored not stored refs pending

A Factorization Theorem for Smooth Crossed Products

Larry B. Schweitzer

arxiv:funct-an/9301003 v1 · 1993-01-29 · funct-an · 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{M3A4DVPW6RA6TTLJBTPAPCDRDY}

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	2026-05-18T01:20:54.252496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c1c1d5f6f441e9cd690cde0788711e380a5bb68279aefabae4ec79527aefee

Aliases

arxiv: funct-an/9301003 · arxiv_version: funct-an/9301003v1 · doi: 10.48550/arxiv.funct-an/9301003 · pith_short_12: M3A4DVPW6RA6 · pith_short_16: M3A4DVPW6RA6TTLJ · pith_short_8: M3A4DVPW

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/M3A4DVPW6RA6TTLJBTPAPCDRDY \
  | 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: 66c1c1d5f6f441e9cd690cde0788711e380a5bb68279aefabae4ec79527aefee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b2f86a90d8ebd3c14fc12a6137ad34aa41da878036a45d4c95d147c8a477426",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1993-01-29T01:55:37Z",
    "title_canon_sha256": "2f7ce5235e21b5bbfc13f242e0ac2aa3138976eca92c6ebd4ed425befc1aa96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9301003",
    "kind": "arxiv",
    "version": 1
  }
}