Pith Number

pith:E4MF6PNZ

pith:2017:E4MF6PNZVJTNLJY45BYC2ID5JA

not attested not anchored not stored refs pending

Partial determinants of Kronecker products

Yorick Hardy

arxiv:1709.10253 v2 · 2017-09-29 · 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{E4MF6PNZVJTNLJY45BYC2ID5JA}

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	2026-05-18T00:26:12.586990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27185f3db9aa66d5a71ce8702d207d481af56679c1736f93a3804188bf7d6b60

Aliases

arxiv: 1709.10253 · arxiv_version: 1709.10253v2 · doi: 10.48550/arxiv.1709.10253 · pith_short_12: E4MF6PNZVJTN · pith_short_16: E4MF6PNZVJTNLJY4 · pith_short_8: E4MF6PNZ

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/E4MF6PNZVJTNLJY45BYC2ID5JA \
  | 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: 27185f3db9aa66d5a71ce8702d207d481af56679c1736f93a3804188bf7d6b60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b69fe4cfef29c5dc98e25607d0648f3d62d22d46f3aa54bf19813b9399de523",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-09-29T06:54:12Z",
    "title_canon_sha256": "0370d183396db2e6837bf52f9a5c4719024b1486422e7fca77115b3d40415c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10253",
    "kind": "arxiv",
    "version": 2
  }
}