Pith Number

pith:XHMRK4XY

pith:2011:XHMRK4XYFWDI7NPJMZG2PWDPXM

not attested not anchored not stored refs pending

Kummer surfaces and the computation of the Picard group

Andreas-Stephan Elsenhans, J\"org Jahnel

arxiv:1109.4346 v2 · 2011-09-20 · math.AG · math.CV · 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{XHMRK4XYFWDI7NPJMZG2PWDPXM}

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	2026-05-17T23:53:19.225190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d91572f82d868fb5e9664da7d86fbb2434fefe5bf77da6de7f412b06bf4e93

Aliases

arxiv: 1109.4346 · arxiv_version: 1109.4346v2 · doi: 10.48550/arxiv.1109.4346 · pith_short_12: XHMRK4XYFWDI · pith_short_16: XHMRK4XYFWDI7NPJ · pith_short_8: XHMRK4XY

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/XHMRK4XYFWDI7NPJMZG2PWDPXM \
  | 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: b9d91572f82d868fb5e9664da7d86fbb2434fefe5bf77da6de7f412b06bf4e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fc016add3dc324a0e14283840abbd56a453d2fd9c539494a9e2948f85b244c",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-20T16:51:54Z",
    "title_canon_sha256": "e686e9f9f25d77a22ce3b9e5baaa5e5473acc78d6406025787e3df6e9a8feb6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4346",
    "kind": "arxiv",
    "version": 2
  }
}