Pith Number

pith:CKR7YAFQ

pith:2012:CKR7YAFQRLWUHDROZXYHIHVB5X

not attested not anchored not stored refs pending

Genus 1 fibrations on the supersingular K3 surface in characteristic 2 with Artin invariant 1

Matthias Schuett, Noam D. Elkies

arxiv:1207.1239 v2 · 2012-07-05 · 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{CKR7YAFQRLWUHDROZXYHIHVB5X}

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	2026-05-18T02:55:19.441760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a3fc00b08aed438e2ecdf0741ea1edcc8eefdc57c147f10082f1c0fa7a1cbc

Aliases

arxiv: 1207.1239 · arxiv_version: 1207.1239v2 · doi: 10.48550/arxiv.1207.1239 · pith_short_12: CKR7YAFQRLWU · pith_short_16: CKR7YAFQRLWUHDRO · pith_short_8: CKR7YAFQ

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/CKR7YAFQRLWUHDROZXYHIHVB5X \
  | 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: 12a3fc00b08aed438e2ecdf0741ea1edcc8eefdc57c147f10082f1c0fa7a1cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1139d70405687fa4e973a9a14a7aa0987bb23a36d8bbae954070f7bb5474bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-05T12:25:10Z",
    "title_canon_sha256": "9fbca4578b57e427a7e2454a2d8aa75afeaa982de399e5d8d38ccfe2cb27819d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1239",
    "kind": "arxiv",
    "version": 2
  }
}