Pith Number

pith:ZB3GPLXL

pith:2011:ZB3GPLXL7BAL54POT3EQTVY2W6

not attested not anchored not stored refs pending

Stability of rank-3 Lazarsfeld-Mukai bundles on K3 surfaces

Margherita Lelli-Chiesa

arxiv:1112.2938 v2 · 2011-12-13 · 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{ZB3GPLXL7BAL54POT3EQTVY2W6}

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	2026-05-18T02:57:53.997076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87667aeebf840bef1ee9ec909d71ab78bda84e17b9f4150bf9f2c4aa99e6160

Aliases

arxiv: 1112.2938 · arxiv_version: 1112.2938v2 · doi: 10.48550/arxiv.1112.2938 · pith_short_12: ZB3GPLXL7BAL · pith_short_16: ZB3GPLXL7BAL54PO · pith_short_8: ZB3GPLXL

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/ZB3GPLXL7BAL54POT3EQTVY2W6 \
  | 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: c87667aeebf840bef1ee9ec909d71ab78bda84e17b9f4150bf9f2c4aa99e6160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51854be7ac324e5c57f548cccc714a41f70acfd5be9ccef4ef78d3608e941f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-13T16:09:24Z",
    "title_canon_sha256": "23edba5454604a52fce6de18d67de18859d8f0aa5ec31bb1cb5f2f008779d684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2938",
    "kind": "arxiv",
    "version": 2
  }
}