Pith Number

pith:LL7ZX4KX

pith:2015:LL7ZX4KX7SH4XXKLEHLOGPZWUJ

not attested not anchored not stored refs pending

Unirationality of moduli spaces of special cubic fourfolds and K3 surfaces

Howard Nuer

arxiv:1503.05256 v2 · 2015-03-18 · 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{LL7ZX4KX7SH4XXKLEHLOGPZWUJ}

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	2026-05-18T01:12:30.871755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aff9bf157fc8fcbdd4b21d6e33f36a24a263ee2a3b776332727020c2efb56dc

Aliases

arxiv: 1503.05256 · arxiv_version: 1503.05256v2 · doi: 10.48550/arxiv.1503.05256 · pith_short_12: LL7ZX4KX7SH4 · pith_short_16: LL7ZX4KX7SH4XXKL · pith_short_8: LL7ZX4KX

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/LL7ZX4KX7SH4XXKLEHLOGPZWUJ \
  | 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: 5aff9bf157fc8fcbdd4b21d6e33f36a24a263ee2a3b776332727020c2efb56dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "807d6b81d3e3bda5edf18907f42b2bd6e871b66d96e5f62f61ef2cb17f124f89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-18T00:42:50Z",
    "title_canon_sha256": "5b88181ba1caf58b39436816b42010f694007f18151d2c6522e0c77b72ac4f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05256",
    "kind": "arxiv",
    "version": 2
  }
}