Pith Number

pith:4AFERF65

pith:2015:4AFERF656NVTST74UFIOFGK6BI

not attested not anchored not stored refs pending

Kodaira dimension of moduli of special cubic fourfolds

Anthony V\'arilly-Alvarado, Sho Tanimoto

arxiv:1509.01562 v2 · 2015-09-04 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AFERF656NVTST74UFIOFGK6BI}

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	2026-05-18T01:09:06.950131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00a4897ddf36b394ffca150e2995e0a30d03248b3c4b0fd484a0b4e2ca46f34

Aliases

arxiv: 1509.01562 · arxiv_version: 1509.01562v2 · doi: 10.48550/arxiv.1509.01562 · pith_short_12: 4AFERF656NVT · pith_short_16: 4AFERF656NVTST74 · pith_short_8: 4AFERF65

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/4AFERF656NVTST74UFIOFGK6BI \
  | 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: e00a4897ddf36b394ffca150e2995e0a30d03248b3c4b0fd484a0b4e2ca46f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c580873054e66c51bb10be01a5a3320a452880298af22db81af63ecbc678f44b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-04T18:53:44Z",
    "title_canon_sha256": "ce68538b27dacbe7beedcbf4899affecdb831acbda865e5d70e638add285dc4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01562",
    "kind": "arxiv",
    "version": 2
  }
}