Pith Number

pith:ZQILIAUD

pith:2016:ZQILIAUD3KHEH3IUSMF55LFL2D

not attested not anchored not stored refs pending

Quasidiagonal traces and crossed products

Marzieh Forough

arxiv:1609.06990 v6 · 2016-09-22 · 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{ZQILIAUD3KHEH3IUSMF55LFL2D}

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	2026-05-18T00:28:41.254589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc10b40283da8e43ed14930bdeacabd0e1cb2f3b87597db9fd25c1bd1c500234

Aliases

arxiv: 1609.06990 · arxiv_version: 1609.06990v6 · doi: 10.48550/arxiv.1609.06990 · pith_short_12: ZQILIAUD3KHE · pith_short_16: ZQILIAUD3KHEH3IU · pith_short_8: ZQILIAUD

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/ZQILIAUD3KHEH3IUSMF55LFL2D \
  | 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: cc10b40283da8e43ed14930bdeacabd0e1cb2f3b87597db9fd25c1bd1c500234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bd1f82ab1d531990650388eb3d6ee49fbf387fed1f2549455e260d5d570d42a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-09-22T14:11:54Z",
    "title_canon_sha256": "ff3afee2eff995fa5d2cb23890d9314b60feb3f4541436e3cb9aa776c209c310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06990",
    "kind": "arxiv",
    "version": 6
  }
}