Pith Number

pith:VQUJPPLV

pith:2021:VQUJPPLV26LLHC33VGPIFMI5EG

not attested not anchored not stored refs pending

Counting elliptic fibrations on K3 surfaces

Davide Cesare Veniani, Dino Festi

arxiv:2102.09411 v2 · 2021-02-18 · 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{VQUJPPLV26LLHC33VGPIFMI5EG}

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.

Cited by

1 paper in Pith

On the Vinberg Family of K3 Surfaces

Receipt and verification

First computed	2026-07-05T08:04:53.450209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2897bd75d796b38b7ba99e82b11d21a7b950be27e3ad74200ea5506ec87423

Aliases

arxiv: 2102.09411 · arxiv_version: 2102.09411v2 · doi: 10.48550/arxiv.2102.09411 · pith_short_12: VQUJPPLV26LL · pith_short_16: VQUJPPLV26LLHC33 · pith_short_8: VQUJPPLV

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/VQUJPPLV26LLHC33VGPIFMI5EG \
  | 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: ac2897bd75d796b38b7ba99e82b11d21a7b950be27e3ad74200ea5506ec87423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1126970d9d2775675afe6ea265097b494978f7ef120d1747892649d7a5c33239",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-02-18T15:00:19Z",
    "title_canon_sha256": "07f952aba3008afeb95708108c9d162917bcadc6cd7bfc0c48929fd23554ffd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09411",
    "kind": "arxiv",
    "version": 2
  }
}