Pith Number

pith:7L23UF6H

pith:2012:7L23UF6H5QM3M7J6LTY23JPDNK

not attested not anchored not stored refs pending

Explicit Kummer varieties of hyperelliptic Jacobian threefolds

J. Steffen M\"uller

arxiv:1211.6900 v2 · 2012-11-29 · math.AG · 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{7L23UF6H5QM3M7J6LTY23JPDNK}

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	2026-05-17T23:53:18.231390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf5ba17c7ec19b67d3e5cf1ada5e36ab941fb98c68fefd2b7d759f5b77f2915

Aliases

arxiv: 1211.6900 · arxiv_version: 1211.6900v2 · doi: 10.48550/arxiv.1211.6900 · pith_short_12: 7L23UF6H5QM3 · pith_short_16: 7L23UF6H5QM3M7J6 · pith_short_8: 7L23UF6H

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/7L23UF6H5QM3M7J6LTY23JPDNK \
  | 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: faf5ba17c7ec19b67d3e5cf1ada5e36ab941fb98c68fefd2b7d759f5b77f2915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd201fb233b336dcbc31d184cca2ddaf87e49099ee0d68db6e44dfe20dfd666",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-29T12:59:26Z",
    "title_canon_sha256": "5df4d839f3e80163e8e246e138c871321b561183bbd757a37d7c015336aeb3b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6900",
    "kind": "arxiv",
    "version": 2
  }
}