Pith Number

pith:3GLBOXQO

pith:2011:3GLBOXQOEOCCFDNIHOFX3VIFB7

not attested not anchored not stored refs pending

Brill-Noether loci for divisors on irregular varieties

Gian Pietro Pirola, Margarida Mendes Lopes, Rita Pardini

arxiv:1112.6357 v2 · 2011-12-29 · 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{3GLBOXQOEOCCFDNIHOFX3VIFB7}

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	2026-05-18T03:43:52.676834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d996175e0e2384228da83b8b7dd5050ff74b242b9370301eb8c9d34f95363495

Aliases

arxiv: 1112.6357 · arxiv_version: 1112.6357v2 · doi: 10.48550/arxiv.1112.6357 · pith_short_12: 3GLBOXQOEOCC · pith_short_16: 3GLBOXQOEOCCFDNI · pith_short_8: 3GLBOXQO

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/3GLBOXQOEOCCFDNIHOFX3VIFB7 \
  | 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: d996175e0e2384228da83b8b7dd5050ff74b242b9370301eb8c9d34f95363495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38fe0abdd2c41cd1c27cb94cd3ab333ea1b1fc60894e874ad0a24f6e832cf6f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-29T17:48:29Z",
    "title_canon_sha256": "5f515e2f7b31cf0cc11073db27ae962e6d21233060212499d490df9b2ce95949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6357",
    "kind": "arxiv",
    "version": 2
  }
}