Pith Number

pith:Q7SJNCWT

pith:2015:Q7SJNCWTHMRGONSE7HJAZWXAG7

not attested not anchored not stored refs pending

Uniform families of minimal rational curves on Fano manifolds

Gianluca Occhetta, Kiwamu Watanabe, Luis E. Sol\'a Conde

arxiv:1503.05312 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{Q7SJNCWTHMRGONSE7HJAZWXAG7}

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	2026-05-18T01:27:15.182937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e4968ad33b22673644f9d20cdae037ec9933ed0ae50149393bbd2e911b8a40

Aliases

arxiv: 1503.05312 · arxiv_version: 1503.05312v2 · doi: 10.48550/arxiv.1503.05312 · pith_short_12: Q7SJNCWTHMRG · pith_short_16: Q7SJNCWTHMRGONSE · pith_short_8: Q7SJNCWT

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/Q7SJNCWTHMRGONSE7HJAZWXAG7 \
  | 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: 87e4968ad33b22673644f9d20cdae037ec9933ed0ae50149393bbd2e911b8a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42674cdbcfd866b86f8e4b0cd26bd86d9946e14256b03afaabdc4251349eeefa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-18T09:19:11Z",
    "title_canon_sha256": "cc3b41d866965ffcf6badbdac33bb2043c18f5f8d9e21dbbee2c66ca59bb9159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05312",
    "kind": "arxiv",
    "version": 2
  }
}