Pith Number

pith:PBNNIZRC

pith:2010:PBNNIZRCG5Z57Q5KZTVPYMM6FW

not attested not anchored not stored refs pending

Pseudoeffective and nef classes on abelian varieties

Claire Voisin, Lawrence Ein, Olivier Debarre, Robert Lazarsfeld

arxiv:1003.3183 v1 · 2010-03-16 · 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{PBNNIZRCG5Z57Q5KZTVPYMM6FW}

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	2026-05-17T23:53:19.786237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785ad466223773dfc3aacceafc319e2da2ed4c4242e1a21d57bd206af6acdbdf

Aliases

arxiv: 1003.3183 · arxiv_version: 1003.3183v1 · doi: 10.48550/arxiv.1003.3183 · pith_short_12: PBNNIZRCG5Z5 · pith_short_16: PBNNIZRCG5Z57Q5K · pith_short_8: PBNNIZRC

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/PBNNIZRCG5Z57Q5KZTVPYMM6FW \
  | 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: 785ad466223773dfc3aacceafc319e2da2ed4c4242e1a21d57bd206af6acdbdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ba41144656c2d364c94510bbfcf3e0ca1d57ec1d1808f982357cd90f38cf93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-03-16T16:51:30Z",
    "title_canon_sha256": "ac2726271ddbf3d11b076e554e515c6c86077868ccab3cfeaf37a2a637d702d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3183",
    "kind": "arxiv",
    "version": 1
  }
}