Pith Number

pith:L436YOLC

pith:2011:L436YOLCAZSWNYXBHM3Q3KK45D

not attested not anchored not stored refs pending

Representations of cyclic groups in positive characteristic and Weierstrass semigroups

Aristides Kontogeorgis, Sotiris Karanikolopoulos

arxiv:1107.4849 v1 · 2011-07-25 · math.AG · 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{L436YOLCAZSWNYXBHM3Q3KK45D}

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	2026-05-18T04:16:54.499871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f37ec3962066566e2e13b370da95ce8f400be0c2b8fe6fa4093c9c8e187857d

Aliases

arxiv: 1107.4849 · arxiv_version: 1107.4849v1 · doi: 10.48550/arxiv.1107.4849 · pith_short_12: L436YOLCAZSW · pith_short_16: L436YOLCAZSWNYXB · pith_short_8: L436YOLC

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/L436YOLCAZSWNYXBHM3Q3KK45D \
  | 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: 5f37ec3962066566e2e13b370da95ce8f400be0c2b8fe6fa4093c9c8e187857d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b743727b70f153de8987d8b606dcf6271c0df4d38ea120fd9e19e216cc50b8f1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-25T06:38:53Z",
    "title_canon_sha256": "84a23ff0121b03bb66430e6cff051e8c6ae9f968e72f20672ea3e47fe4e276ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4849",
    "kind": "arxiv",
    "version": 1
  }
}