Pith Number

pith:YVUDU6UH

pith:2013:YVUDU6UHCWZXCOV377RBWEVPK3

not attested not anchored not stored refs pending

On the structure of numerical sparse semigroups and applications to Weierstrass points

Andr\'e Contiero, Carlos Gustavo T. A. Moreira, Paula M. Veloso

arxiv:1308.5844 v2 · 2013-08-27 · 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{YVUDU6UHCWZXCOV377RBWEVPK3}

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	2026-05-18T02:40:18.671374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5683a7a8715b3713abbffe21b12af56df25df6f999d57ee7301af8932d25e4f

Aliases

arxiv: 1308.5844 · arxiv_version: 1308.5844v2 · doi: 10.48550/arxiv.1308.5844 · pith_short_12: YVUDU6UHCWZX · pith_short_16: YVUDU6UHCWZXCOV3 · pith_short_8: YVUDU6UH

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/YVUDU6UHCWZXCOV377RBWEVPK3 \
  | 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: c5683a7a8715b3713abbffe21b12af56df25df6f999d57ee7301af8932d25e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb175a475c61644a84de837e62ffe9fc9ea44d71846ad4b890ff4f41568dc537",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-27T12:45:33Z",
    "title_canon_sha256": "6d0828f97edf3dd4ccdcb07d7d903602aab00f9830e974824a0d6f3630772fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5844",
    "kind": "arxiv",
    "version": 2
  }
}