Pith Number

pith:6WG7GKMM

pith:2010:6WG7GKMM546FN44ZXO2HWQSVBB

not attested not anchored not stored refs pending

The Picard group of the compactified universal Jacobian

Filippo Viviani, Margarida Melo

arxiv:1007.4519 v5 · 2010-07-26 · 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{6WG7GKMM546FN44ZXO2HWQSVBB}

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	2026-05-18T02:52:48.650833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f58df3298cef3c56f399bbb47b4255085ee6654f0f14db3cc1698156a45a393c

Aliases

arxiv: 1007.4519 · arxiv_version: 1007.4519v5 · doi: 10.48550/arxiv.1007.4519 · pith_short_12: 6WG7GKMM546F · pith_short_16: 6WG7GKMM546FN44Z · pith_short_8: 6WG7GKMM

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/6WG7GKMM546FN44ZXO2HWQSVBB \
  | 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: f58df3298cef3c56f399bbb47b4255085ee6654f0f14db3cc1698156a45a393c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e55f4dbccfd98af8222986aa7de5f72cae84aace8e6cbe9de8489d34b55b786",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-26T17:52:51Z",
    "title_canon_sha256": "b6e0bf98b93ae36b48734c6a790379b95fb918a1362026dbb1bc5f0ad8cdf6ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4519",
    "kind": "arxiv",
    "version": 5
  }
}