Pith Number

pith:FJ2MARS5

pith:2017:FJ2MARS5QSQOK7R5L5UH2F6RZ3

not attested not anchored not stored refs pending

Stable rationality of del Pezzo fibrations of low degree over projective spaces

Igor Krylov, Takuzo Okada

arxiv:1701.08372 v1 · 2017-01-29 · 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{FJ2MARS5QSQOK7R5L5UH2F6RZ3}

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	2026-05-18T00:51:54.375630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a74c0465d84a0e57e3d5f687d17d1cec4c33f1beda8e1c9165d377aad056b8a

Aliases

arxiv: 1701.08372 · arxiv_version: 1701.08372v1 · doi: 10.48550/arxiv.1701.08372 · pith_short_12: FJ2MARS5QSQO · pith_short_16: FJ2MARS5QSQOK7R5 · pith_short_8: FJ2MARS5

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/FJ2MARS5QSQOK7R5L5UH2F6RZ3 \
  | 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: 2a74c0465d84a0e57e3d5f687d17d1cec4c33f1beda8e1c9165d377aad056b8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99eff5e4866b6c63c05fcf8536d76aefeec72d7ae1a0cdf294c65e82b834267f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-29T13:06:13Z",
    "title_canon_sha256": "73722ad48560c8787baf478327b502a1e7862b28411c5bc7f975c967adea65dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08372",
    "kind": "arxiv",
    "version": 1
  }
}