Pith Number

pith:KJUFTIWD

pith:2009:KJUFTIWDTOWGILD5LAVM76ML6D

not attested not anchored not stored refs pending

Explicit CM-theory for level 2-structures on abelian surfaces

David Gruenewald, Kristin Lauter, Reinier Broker

arxiv:0910.1848 v2 · 2009-10-09 · math.NT · 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{KJUFTIWDTOWGILD5LAVM76ML6D}

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	2026-05-18T04:17:25.216540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526859a2c39bac642c7d582acff98bf0d6fb9dd0bc6377e1c5cee69a840c8bc2

Aliases

arxiv: 0910.1848 · arxiv_version: 0910.1848v2 · doi: 10.48550/arxiv.0910.1848 · pith_short_12: KJUFTIWDTOWG · pith_short_16: KJUFTIWDTOWGILD5 · pith_short_8: KJUFTIWD

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/KJUFTIWDTOWGILD5LAVM76ML6D \
  | 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: 526859a2c39bac642c7d582acff98bf0d6fb9dd0bc6377e1c5cee69a840c8bc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a76d8ccef6e0909b4bd8e41c1db44732da7e336bcb1ecd3c06890e0926e9b8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-09T20:28:04Z",
    "title_canon_sha256": "dda08057a89e2b5670187b335067c881fe6bb841e64acb6b23589e0918fe4fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1848",
    "kind": "arxiv",
    "version": 2
  }
}