Pith Number

pith:3YKE7CSK

pith:2010:3YKE7CSKSK2MKC2HXRKIKIHTDG

not attested not anchored not stored refs pending

Compactified Jacobians of N\'eron type

Lucia Caporaso

arxiv:1002.4350 v2 · 2010-02-23 · 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{3YKE7CSKSK2MKC2HXRKIKIHTDG}

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	2026-05-18T04:35:57.025963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de144f8a4a92b4c50b47bc548520f319bb52135c4637f6408866dbd687eddafe

Aliases

arxiv: 1002.4350 · arxiv_version: 1002.4350v2 · doi: 10.48550/arxiv.1002.4350 · pith_short_12: 3YKE7CSKSK2M · pith_short_16: 3YKE7CSKSK2MKC2H · pith_short_8: 3YKE7CSK

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/3YKE7CSKSK2MKC2HXRKIKIHTDG \
  | 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: de144f8a4a92b4c50b47bc548520f319bb52135c4637f6408866dbd687eddafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37bb836fa52be3f4975ee640276328e9df05741d94469f59838ece24a2c5ac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-23T15:22:44Z",
    "title_canon_sha256": "42829cd3090b3141cce550b8c18da4d54693a869347ec9096833963044ece793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4350",
    "kind": "arxiv",
    "version": 2
  }
}