Pith Number

pith:SHIP2ZOD

pith:2016:SHIP2ZODZBSPAV6I3CHOBY6FP3

not attested not anchored not stored refs pending

The Fubini product and its applications

Joachim Zacharias, Otgonbayar Uuye

arxiv:1603.04527 v1 · 2016-03-15 · 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{SHIP2ZODZBSPAV6I3CHOBY6FP3}

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	2026-05-18T01:19:04.666477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d0fd65c3c864f057c8d88ee0e3c57ecf885edf13bcf6dbb2f9ba1a53840bc6

Aliases

arxiv: 1603.04527 · arxiv_version: 1603.04527v1 · doi: 10.48550/arxiv.1603.04527 · pith_short_12: SHIP2ZODZBSP · pith_short_16: SHIP2ZODZBSPAV6I · pith_short_8: SHIP2ZOD

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/SHIP2ZODZBSPAV6I3CHOBY6FP3 \
  | 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: 91d0fd65c3c864f057c8d88ee0e3c57ecf885edf13bcf6dbb2f9ba1a53840bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8acf793a208a3bf03d2011faa79c85ee8196578fc33dcf4f1ad28fe36ed33ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-03-15T02:06:27Z",
    "title_canon_sha256": "98fcaf1b8d1e77d27a602f2922ab2930081c6c3c7075dc95ce8a02aff1400d84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04527",
    "kind": "arxiv",
    "version": 1
  }
}