Pith Number

pith:7OFZVFBC

pith:2010:7OFZVFBCKMHJDJEJRSJ6DFL2CR

not attested not anchored not stored refs pending

Rational Curves on K3 Surfaces

Christian Liedtke, Jun Li

arxiv:1012.3777 v2 · 2010-12-16 · 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{7OFZVFBCKMHJDJEJRSJ6DFL2CR}

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	2026-05-18T03:55:47.180939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8b9a9422530e91a4898c93e1957a1477bf4212c13da380b7d9b2ccee09cceb

Aliases

arxiv: 1012.3777 · arxiv_version: 1012.3777v2 · doi: 10.48550/arxiv.1012.3777 · pith_short_12: 7OFZVFBCKMHJ · pith_short_16: 7OFZVFBCKMHJDJEJ · pith_short_8: 7OFZVFBC

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/7OFZVFBCKMHJDJEJRSJ6DFL2CR \
  | 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: fb8b9a9422530e91a4898c93e1957a1477bf4212c13da380b7d9b2ccee09cceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e27279fc45935cefecfc1321a9f38c9c7e68026ed79885cf49c4fc257a5c14e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-16T23:06:10Z",
    "title_canon_sha256": "ffb74b4db53db8db11d89a180b4ace5ea25b452f4c9fc47e21a3f5d0d4f5fc49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3777",
    "kind": "arxiv",
    "version": 2
  }
}