Pith Number

pith:QKF3QZGI

pith:2005:QKF3QZGIYH7SWRU77KOSG5L5OU

not attested not anchored not stored refs pending

Characterizing Jacobians via flexes of the Kummer variety

E. Arbarello, G. Marini, I. Krichever

arxiv:math/0502138 v2 · 2005-02-07 · 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{QKF3QZGIYH7SWRU77KOSG5L5OU}

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	2026-05-18T01:20:49.141388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828bb864c8c1ff2b469ffa9d23757d7534636e5d07b7d5361a095b85428466fe

Aliases

arxiv: math/0502138 · arxiv_version: math/0502138v2 · doi: 10.48550/arxiv.math/0502138 · pith_short_12: QKF3QZGIYH7S · pith_short_16: QKF3QZGIYH7SWRU7 · pith_short_8: QKF3QZGI

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/QKF3QZGIYH7SWRU77KOSG5L5OU \
  | 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: 828bb864c8c1ff2b469ffa9d23757d7534636e5d07b7d5361a095b85428466fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4898cef7263fd3f59b21419dbb726bc39ac52300bd2ba9b729679c8ba5f87d1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-02-07T17:16:21Z",
    "title_canon_sha256": "be7489cd0a5d4b32314427bfb2d261e385ae5cdf6ddd13d7f680b913574d575c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502138",
    "kind": "arxiv",
    "version": 2
  }
}