Pith Number

pith:H6QVT3ID

pith:2026:H6QVT3IDMZBPW6OJOVES7TSRB6

not attested not anchored not stored refs pending

Generalising Latin square orthogonality and Frobenius-K\"onig with alternating sign matrices

Alena Ernst, Cian O'Brien, Jens Zumbr\"agel, John Sheekey, Stefano Lia

arxiv:2606.25884 v1 · 2026-06-24 · 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{H6QVT3IDMZBPW6OJOVES7TSRB6}

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	2026-06-25T01:18:42.240264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fa159ed036642fb79c975492fce510fb99d01b1d2d1dcc7b3b72f939b7bd784

Aliases

arxiv: 2606.25884 · arxiv_version: 2606.25884v1 · doi: 10.48550/arxiv.2606.25884 · pith_short_12: H6QVT3IDMZBP · pith_short_16: H6QVT3IDMZBPW6OJ · pith_short_8: H6QVT3ID

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/H6QVT3IDMZBPW6OJOVES7TSRB6 \
  | 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: 3fa159ed036642fb79c975492fce510fb99d01b1d2d1dcc7b3b72f939b7bd784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d3080431864267a425a33a3ce4f7fc13be883082d506ea304054f271fed2a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-24T14:26:22Z",
    "title_canon_sha256": "c94e57e1fa5ee618f8eac524b09e55502d619c7430b355ce98be27c63c4092e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25884",
    "kind": "arxiv",
    "version": 1
  }
}