Pith Number

pith:4UQQFUOL

pith:2017:4UQQFUOLXG5F4WTAEO65CTREQA

not attested not anchored not stored refs pending

Weierstrass points on $X_0^+(p)$ and supersingular $j$-invariants

Stephanie Treneer

arxiv:1702.05131 v1 · 2017-02-16 · 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{4UQQFUOLXG5F4WTAEO65CTREQA}

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	2026-05-18T00:50:34.782636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52102d1cbb9ba5e5a6023bdd14e248037a205e57d59c2c28b5cbdb5e92d4d65

Aliases

arxiv: 1702.05131 · arxiv_version: 1702.05131v1 · doi: 10.48550/arxiv.1702.05131 · pith_short_12: 4UQQFUOLXG5F · pith_short_16: 4UQQFUOLXG5F4WTA · pith_short_8: 4UQQFUOL

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/4UQQFUOLXG5F4WTAEO65CTREQA \
  | 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: e52102d1cbb9ba5e5a6023bdd14e248037a205e57d59c2c28b5cbdb5e92d4d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e992e3eb7509dfa55c3d296706f17c0c0b37901040aca8e179c6a8133f2b0fd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-16T19:49:59Z",
    "title_canon_sha256": "adacbd97e9e9a96379ad79d74e8cf8987ed2aa0d3224e6e904e35e6faf187999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05131",
    "kind": "arxiv",
    "version": 1
  }
}