Pith Number

pith:LGFS3ZPL

pith:2011:LGFS3ZPLIBK3KVBYBIZBUXII4E

not attested not anchored not stored refs pending

On torsors under abelian varieties

Alessandra Bertapelle

arxiv:1106.1540 v2 · 2011-06-08 · 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{LGFS3ZPLIBK3KVBYBIZBUXII4E}

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	2026-05-18T04:16:41.930583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598b2de5eb4055b554380a321a5d08e107ad5f46dbfdc881d36c82e8df962854

Aliases

arxiv: 1106.1540 · arxiv_version: 1106.1540v2 · doi: 10.48550/arxiv.1106.1540 · pith_short_12: LGFS3ZPLIBK3 · pith_short_16: LGFS3ZPLIBK3KVBY · pith_short_8: LGFS3ZPL

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/LGFS3ZPLIBK3KVBYBIZBUXII4E \
  | 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: 598b2de5eb4055b554380a321a5d08e107ad5f46dbfdc881d36c82e8df962854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ffc48658f213619a9eaf1ad6ef9b6baf62905b103d9ad68bac50cc90896580",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-08T11:33:14Z",
    "title_canon_sha256": "322743cdc8976320c569828162416ce22cd59879b5c200c37dfdc3398863609f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1540",
    "kind": "arxiv",
    "version": 2
  }
}