Pith Number

pith:C5Z4IWCU

pith:2010:C5Z4IWCUUVQIIXTKAAOZYIC5KF

not attested not anchored not stored refs pending

Elliptic K3 surfaces with p^n-torsion sections

Christian Liedtke, Hiroyuki Ito

arxiv:1003.0144 v3 · 2010-02-28 · 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{C5Z4IWCUUVQIIXTKAAOZYIC5KF}

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	2026-05-18T03:42:53.390687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1773c45854a560845e6a001d9c205d517896f86acbdf746da9837d39ad13c14c

Aliases

arxiv: 1003.0144 · arxiv_version: 1003.0144v3 · doi: 10.48550/arxiv.1003.0144 · pith_short_12: C5Z4IWCUUVQI · pith_short_16: C5Z4IWCUUVQIIXTK · pith_short_8: C5Z4IWCU

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/C5Z4IWCUUVQIIXTKAAOZYIC5KF \
  | 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: 1773c45854a560845e6a001d9c205d517896f86acbdf746da9837d39ad13c14c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ba7697d8a82a42990fa4a5b36daa55970b338b672293cad20e45bf57dedd7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-28T00:55:01Z",
    "title_canon_sha256": "f1ca7576270fffe02ddd76530cafb7cc8c6f4b54e84dd9114d61c8e3a71cdb65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0144",
    "kind": "arxiv",
    "version": 3
  }
}