Pith Number

pith:EULD6KVY

pith:2026:EULD6KVYXDMQJBXNSEBAM7AWLW

not attested not anchored not stored refs pending

Powers of matrices with all principal minors equal to 1

Darij Grinberg

arxiv:2606.28976 v1 · 2026-06-27 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EULD6KVYXDMQJBXNSEBAM7AWLW}

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	2026-06-30T01:17:47.856059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25163f2ab8b8d90486ed9102067c165d81c43071caee3e3ea229d55575792398

Aliases

arxiv: 2606.28976 · arxiv_version: 2606.28976v1 · doi: 10.48550/arxiv.2606.28976 · pith_short_12: EULD6KVYXDMQ · pith_short_16: EULD6KVYXDMQJBXN · pith_short_8: EULD6KVY

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/EULD6KVYXDMQJBXNSEBAM7AWLW \
  | 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: 25163f2ab8b8d90486ed9102067c165d81c43071caee3e3ea229d55575792398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8df990fcf4cee62091d900f596a35d6f0c56f3b5bec6c3c218c1bca903354ff0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-27T15:27:48Z",
    "title_canon_sha256": "b9770f71bc1e010ccfc2b2fc2bd648db23f11fcc39da22ddf5cb83f6453389f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28976",
    "kind": "arxiv",
    "version": 1
  }
}