Pith Number

pith:ADQABIQI

pith:2015:ADQABIQIJ63VP7SAWSQTOEHJXA

not attested not anchored not stored refs pending

Bad reduction of genus $2$ curves with CM jacobian varieties

Fabien Pazuki, Philipp Habegger

arxiv:1506.02485 v1 · 2015-06-08 · 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{ADQABIQIJ63VP7SAWSQTOEHJXA}

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	2026-05-17T23:53:34.503861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00e000a2084fb757fe40b4a13710e9b810136c5f3e99813e9da61e2fdbfd23f7

Aliases

arxiv: 1506.02485 · arxiv_version: 1506.02485v1 · doi: 10.48550/arxiv.1506.02485 · pith_short_12: ADQABIQIJ63V · pith_short_16: ADQABIQIJ63VP7SA · pith_short_8: ADQABIQI

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/ADQABIQIJ63VP7SAWSQTOEHJXA \
  | 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: 00e000a2084fb757fe40b4a13710e9b810136c5f3e99813e9da61e2fdbfd23f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78aedbc36f44e52ba1946c2a5dce19fea9b2c1f661bb9a3c7d1f28e10f69f9c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-08T13:33:40Z",
    "title_canon_sha256": "6e00a51ea5668bdb7815b1aa4bc735b8ba822302437998540dd53bead1e9f8a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02485",
    "kind": "arxiv",
    "version": 1
  }
}