Pith Number

pith:KBZZ7VEY

pith:2013:KBZZ7VEYNKJ77AYK55OBMCRGJL

not attested not anchored not stored refs pending

Constructing commutative semifields of square order

Joanne L. Hall, Stephen M. Gagola III

arxiv:1302.3281 v2 · 2013-02-14 · math.CO · math.AC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBZZ7VEYNKJ77AYK55OBMCRGJL}

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	2026-05-18T01:19:51.110582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50739fd4986a93ff830aef5c160a264adea3158d93216768a632aeb21a8873b4

Aliases

arxiv: 1302.3281 · arxiv_version: 1302.3281v2 · doi: 10.48550/arxiv.1302.3281 · pith_short_12: KBZZ7VEYNKJ7 · pith_short_16: KBZZ7VEYNKJ77AYK · pith_short_8: KBZZ7VEY

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/KBZZ7VEYNKJ77AYK55OBMCRGJL \
  | 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: 50739fd4986a93ff830aef5c160a264adea3158d93216768a632aeb21a8873b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be3eebbe9b1b6e7308df81fe744ca1f8e0134a252d25a47544184e6f53f0173",
    "cross_cats_sorted": [
      "math.AC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-14T00:49:32Z",
    "title_canon_sha256": "b0c7b816caf10b4fc6557b15e74445985ec1e2cd241fea662ddb17d21e4d5f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3281",
    "kind": "arxiv",
    "version": 2
  }
}