Pith Number

pith:WYPB2K4W

pith:2026:WYPB2K4WGRU4FLZAF4UQIOFW7B

not attested not anchored not stored refs pending

Rational (quasi-)elliptic surfaces with global vector fields in odd characteristic

Claudia Stadlmayr

arxiv:2606.25839 v1 · 2026-06-24 · 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{WYPB2K4WGRU4FLZAF4UQIOFW7B}

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	2026-06-25T01:18:40.859096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b61e1d2b963469c2af202f290438b6f8735da0f6e4d935a9ae3c0983075fe124

Aliases

arxiv: 2606.25839 · arxiv_version: 2606.25839v1 · doi: 10.48550/arxiv.2606.25839 · pith_short_12: WYPB2K4WGRU4 · pith_short_16: WYPB2K4WGRU4FLZA · pith_short_8: WYPB2K4W

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/WYPB2K4WGRU4FLZAF4UQIOFW7B \
  | 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: b61e1d2b963469c2af202f290438b6f8735da0f6e4d935a9ae3c0983075fe124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03cac0262a6a4ed445eb48a31b39c8f7d13b0af535d097dfe6dfad92d647235f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-24T13:51:49Z",
    "title_canon_sha256": "0ebbc199d83ccfd7c0eb5574e23e4582ec5fb7a2b43cb2b1758cbfb9d1410fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25839",
    "kind": "arxiv",
    "version": 1
  }
}