Pith Number

pith:WP25YRJK

pith:2025:WP25YRJKK2ELDKOIP36YYHN7M5

not attested not anchored not stored refs pending

On generalized Weierstrass Semigroups in arbitrary Kummer extensions of $\mathbb{F}_q(x)$

Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti

arxiv:2504.12453 v1 · 2025-04-16 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WP25YRJKK2ELDKOIP36YYHN7M5}

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.

Cited by

1 paper in Pith

Linear Complementary Pairs of Algebraic Geometry Codes via Kummer Extensions

Receipt and verification

First computed	2026-07-05T10:50:16.653074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f5dc452a5688b1a9c87efd8c1dbf67522ab8176680f91f9f526c54f534b39a

Aliases

arxiv: 2504.12453 · arxiv_version: 2504.12453v1 · doi: 10.48550/arxiv.2504.12453 · pith_short_12: WP25YRJKK2EL · pith_short_16: WP25YRJKK2ELDKOI · pith_short_8: WP25YRJK

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/WP25YRJKK2ELDKOIP36YYHN7M5 \
  | 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: b3f5dc452a5688b1a9c87efd8c1dbf67522ab8176680f91f9f526c54f534b39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf8b32110e21a7c2c645ee522c0babf93386ffdbf0ba4ce9513f684c065f1bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-16T19:34:32Z",
    "title_canon_sha256": "4a5b52b999e2ca76b05918d794345506c4d5429ce1a70b9a3fae4ff6c96be504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12453",
    "kind": "arxiv",
    "version": 1
  }
}