Pith Number

pith:OLSDHMLT

pith:2017:OLSDHMLTKFI4AWA6QP5OWUQFJO

not attested not anchored not stored refs pending

The uniqueness of Weierstrass points with semigroup <a;b> and related subgroups

Marc Coppens

arxiv:1708.04271 v1 · 2017-08-14 · 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{OLSDHMLTKFI4AWA6QP5OWUQFJO}

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	2026-05-18T00:37:59.824568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e433b1735151c0581e83faeb52054bbac5c9c41c018d029aa5bae7c04e41a0

Aliases

arxiv: 1708.04271 · arxiv_version: 1708.04271v1 · doi: 10.48550/arxiv.1708.04271 · pith_short_12: OLSDHMLTKFI4 · pith_short_16: OLSDHMLTKFI4AWA6 · pith_short_8: OLSDHMLT

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/OLSDHMLTKFI4AWA6QP5OWUQFJO \
  | 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: 72e433b1735151c0581e83faeb52054bbac5c9c41c018d029aa5bae7c04e41a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c99fdeaf65b7d2f887247e77edf69193bd53f7e362c67423552bc19d681ee76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-14T18:47:00Z",
    "title_canon_sha256": "1e6ee507f3ec40a06c23618e7a3e3c35ca622c85dcec11efd3c25eb08031a3a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04271",
    "kind": "arxiv",
    "version": 1
  }
}