Pith Number

pith:M6J4PSMJ

pith:2016:M6J4PSMJVJW6PTOAAHKOQSOKJY

not attested not anchored not stored refs pending

Rational curves on fibered Calabi-Yau manifolds

Claudio Fontanari, Diletta Martinelli, Simone Diverio

arxiv:1607.01561 v3 · 2016-07-06 · 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{M6J4PSMJVJW6PTOAAHKOQSOKJY}

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	2026-05-18T00:06:21.062622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6793c7c989aa6de7cdc001d4e849ca4e1d83b7f5eb5d8ddf02f6fe7509a64a76

Aliases

arxiv: 1607.01561 · arxiv_version: 1607.01561v3 · doi: 10.48550/arxiv.1607.01561 · pith_short_12: M6J4PSMJVJW6 · pith_short_16: M6J4PSMJVJW6PTOA · pith_short_8: M6J4PSMJ

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/M6J4PSMJVJW6PTOAAHKOQSOKJY \
  | 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: 6793c7c989aa6de7cdc001d4e849ca4e1d83b7f5eb5d8ddf02f6fe7509a64a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6beebb9be3a0d52ff7be7159e0d5cd99750dbe6dffbcb6bc1e5b17a6e10a5cbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-06T11:08:13Z",
    "title_canon_sha256": "2741e61ce942286a3be0f9bd5836163dfd9f7e5130e286b6a9255924e5a30393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01561",
    "kind": "arxiv",
    "version": 3
  }
}