Pith Number

pith:JKCJFGHW

pith:2011:JKCJFGHW27Y22RSV3SAU7SDXF4

not attested not anchored not stored refs pending

Abelian surfaces admitting an (l,l)-endomorphism

Kristin Lauter, Marco Streng, Reinier Broker

arxiv:1106.1884 v2 · 2011-06-09 · 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{JKCJFGHW27Y22RSV3SAU7SDXF4}

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	2026-05-18T03:34:00.012398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a849298f6d7f1ad4655dc814fc8772f210a96c85a79c9ad3c8f34a21353e3c9

Aliases

arxiv: 1106.1884 · arxiv_version: 1106.1884v2 · doi: 10.48550/arxiv.1106.1884 · pith_short_12: JKCJFGHW27Y2 · pith_short_16: JKCJFGHW27Y22RSV · pith_short_8: JKCJFGHW

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/JKCJFGHW27Y22RSV3SAU7SDXF4 \
  | 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: 4a849298f6d7f1ad4655dc814fc8772f210a96c85a79c9ad3c8f34a21353e3c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b63cbf0fd365e38226e938a48703115cbb2a549549f15d05dbb562352a0d9f7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-09T19:20:37Z",
    "title_canon_sha256": "39d3e3c8a137d04e86759cb56ae9e689298a983a31cc04f1e56c0b681655099c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1884",
    "kind": "arxiv",
    "version": 2
  }
}