Pith Number

pith:MLKZ342X

pith:2026:MLKZ342XDIR5UNTURJ6LMKJOMA

not attested not anchored not stored refs pending

Some new results on determinants and permanents

Bo Jiang, Zhi-Wei Sun

arxiv:2606.03970 v1 · 2026-06-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLKZ342XDIR5UNTURJ6LMKJOMA}

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	2026-06-03T02:06:08.277803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d59df3571a23da36748a7cb6292e6019940a39ef1c28f66f3f8f0cd6afac69

Aliases

arxiv: 2606.03970 · arxiv_version: 2606.03970v1 · doi: 10.48550/arxiv.2606.03970 · pith_short_12: MLKZ342XDIR5 · pith_short_16: MLKZ342XDIR5UNTU · pith_short_8: MLKZ342X

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/MLKZ342XDIR5UNTURJ6LMKJOMA \
  | 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: 62d59df3571a23da36748a7cb6292e6019940a39ef1c28f66f3f8f0cd6afac69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09b1a06ac52e34950b5c8f4c1b4fd075d7542a22979d40a1737f5466128fd66f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-02T17:53:57Z",
    "title_canon_sha256": "ac4bda44878595983d5ceb075a33cc9715fe4093057fa6d7c42f3897099faeb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03970",
    "kind": "arxiv",
    "version": 1
  }
}