Pith Number

pith:5EH3KPEX

pith:2013:5EH3KPEXXQ6TSAIXR57CNQLB4C

not attested not anchored not stored refs pending

Extremal set theory, cubic forms on $\mathbb{F}_2^n$ and Hurwitz square identities

Sophie Morier-Genoud, Valentin Ovsienko

arxiv:1304.0949 v3 · 2013-04-03 · math.CO · 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{5EH3KPEXXQ6TSAIXR57CNQLB4C}

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	2026-05-18T02:55:27.719728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e90fb53c97bc3d3901178f7e26c161e0b9d39b23d8c21c22245b4c83a6912524

Aliases

arxiv: 1304.0949 · arxiv_version: 1304.0949v3 · doi: 10.48550/arxiv.1304.0949 · pith_short_12: 5EH3KPEXXQ6T · pith_short_16: 5EH3KPEXXQ6TSAIX · pith_short_8: 5EH3KPEX

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/5EH3KPEXXQ6TSAIXR57CNQLB4C \
  | 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: e90fb53c97bc3d3901178f7e26c161e0b9d39b23d8c21c22245b4c83a6912524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a1ed777adcf858b8cd9fbdef1aafd24986964b7e1ebebebfc37593c343e650",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-03T13:30:41Z",
    "title_canon_sha256": "8c1f176c4ebfe0ee84a509dd9280d8b105ca5b4fdde29d975681274d4a358e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0949",
    "kind": "arxiv",
    "version": 3
  }
}