Pith Number

pith:K66BRBAZ

pith:2013:K66BRBAZC6XRNDUOSKMFWZQB24

not attested not anchored not stored refs pending

The sigma function for Weierstrass semigroups <3,7,8> and <6,13,14,15,16>

Emma Previato, Jiryo Komeda, Shigeki Matsutani

arxiv:1303.0451 v4 · 2013-03-03 · math.AG · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K66BRBAZC6XRNDUOSKMFWZQB24}

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	2026-05-18T03:08:14.196463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57bc18841917af168e8e92985b6601d7084e8de77200b513dcbc2c7cef6a8971

Aliases

arxiv: 1303.0451 · arxiv_version: 1303.0451v4 · doi: 10.48550/arxiv.1303.0451 · pith_short_12: K66BRBAZC6XR · pith_short_16: K66BRBAZC6XRNDUO · pith_short_8: K66BRBAZ

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/K66BRBAZC6XRNDUOSKMFWZQB24 \
  | 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: 57bc18841917af168e8e92985b6601d7084e8de77200b513dcbc2c7cef6a8971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53006037e2e4973c2e715b25a23098b179bcdf898b4681ba5cb6af0eae958d24",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-03T02:35:20Z",
    "title_canon_sha256": "cc2385a8f31cea30e10c9735cd560c2f8e36bee2ec0a8f03432eefdf1033a030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0451",
    "kind": "arxiv",
    "version": 4
  }
}