Pith Number

pith:LLEQXWYN

pith:2016:LLEQXWYNDHBNMIWWBJ42OBTCZA

not attested not anchored not stored refs pending

The Picard group of the universal abelian variety and the Franchetta conjecture for abelian varieties

Roberto Fringuelli, Roberto Pirisi

arxiv:1603.09190 v3 · 2016-03-30 · 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{LLEQXWYNDHBNMIWWBJ42OBTCZA}

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	2026-05-18T01:17:49.821001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac90bdb0d19c2d622d60a79a70662c8280866b0c6049a141527bb5dc1a31377

Aliases

arxiv: 1603.09190 · arxiv_version: 1603.09190v3 · doi: 10.48550/arxiv.1603.09190 · pith_short_12: LLEQXWYNDHBN · pith_short_16: LLEQXWYNDHBNMIWW · pith_short_8: LLEQXWYN

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/LLEQXWYNDHBNMIWWBJ42OBTCZA \
  | 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: 5ac90bdb0d19c2d622d60a79a70662c8280866b0c6049a141527bb5dc1a31377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb8886934df75e6aa3070b6127efa91e076ceee53571daa1bc51517044b2fbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-30T13:44:59Z",
    "title_canon_sha256": "3c7632a77ddf8293cfae905e5969608834a88ee67035afceceb72d876109dfc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09190",
    "kind": "arxiv",
    "version": 3
  }
}