Pith Number

pith:MKOXLPHE

pith:2021:MKOXLPHEXS7XVIHNNJXKPIQ3BM

not attested not anchored not stored refs pending

Arithmetic properties of some permanents

Zhi-Wei Sun

arxiv:2108.07723 v7 · 2021-08-17 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKOXLPHEXS7XVIHNNJXKPIQ3BM}

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.

Cited by

2 papers in Pith

Some new results on determinants and permanents

Evaluation of two determinants involving $q$-integers

Receipt and verification

First computed	2026-07-05T04:29:08.900408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629d75bce4bcbf7aa0ed6a6ea7a21b0b36e45acf5777a61fd4018c9e04950f2c

Aliases

arxiv: 2108.07723 · arxiv_version: 2108.07723v7 · doi: 10.48550/arxiv.2108.07723 · pith_short_12: MKOXLPHEXS7X · pith_short_16: MKOXLPHEXS7XVIHN · pith_short_8: MKOXLPHE

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/MKOXLPHEXS7XVIHNNJXKPIQ3BM \
  | 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: 629d75bce4bcbf7aa0ed6a6ea7a21b0b36e45acf5777a61fd4018c9e04950f2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a413c8a435f957ee429e77a94e4fc6c6de3c864a5db53b5fbaaabe7f84e28ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2021-08-17T16:59:16Z",
    "title_canon_sha256": "5fa976ca1ab86fa473ad6e1470bd96e1dbfdecc42e4ef77fefa234b2c9ae3d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07723",
    "kind": "arxiv",
    "version": 7
  }
}