Pith Number

pith:GPGFQDKB

pith:2011:GPGFQDKBRAMXSRX67NIW5CEZS7

not attested not anchored not stored refs pending

Rational curves on the supersingular K3 surface with Artin invariant 1 in characteristic 3

Shigeyuki Kondo, Toshiyuki Katsura

arxiv:1107.1543 v1 · 2011-07-08 · 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{GPGFQDKBRAMXSRX67NIW5CEZS7}

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	2026-05-18T04:18:35.450879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33cc580d4188197946fefb516e889997e8762ea2326ad347ef53ecaba2fa59af

Aliases

arxiv: 1107.1543 · arxiv_version: 1107.1543v1 · doi: 10.48550/arxiv.1107.1543 · pith_short_12: GPGFQDKBRAMX · pith_short_16: GPGFQDKBRAMXSRX6 · pith_short_8: GPGFQDKB

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/GPGFQDKBRAMXSRX67NIW5CEZS7 \
  | 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: 33cc580d4188197946fefb516e889997e8762ea2326ad347ef53ecaba2fa59af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9aacdbc40ede3c14333353d2ea83b837e03fb989ae60e87c27bd39c50f98fbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-08T01:39:19Z",
    "title_canon_sha256": "826207d61711d8ec048e49906720ef018a25128282b76d4051e1a6869da4d677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1543",
    "kind": "arxiv",
    "version": 1
  }
}