Pith Number

pith:WOB2R6RA

pith:2016:WOB2R6RAF7QQ3VYWMUFJTEF5LU

not attested not anchored not stored refs pending

Cylinders in del Pezzo fibrations

Adrien Dubouloz (IMB), Takashi Kishimoto

arxiv:1607.00840 v1 · 2016-07-04 · 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{WOB2R6RAF7QQ3VYWMUFJTEF5LU}

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	2026-05-18T01:11:34.192547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b383a8fa202fe10dd716650a9990bd5d2f3387e4f1198dec6cf329582aaa2cb8

Aliases

arxiv: 1607.00840 · arxiv_version: 1607.00840v1 · doi: 10.48550/arxiv.1607.00840 · pith_short_12: WOB2R6RAF7QQ · pith_short_16: WOB2R6RAF7QQ3VYW · pith_short_8: WOB2R6RA

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/WOB2R6RAF7QQ3VYWMUFJTEF5LU \
  | 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: b383a8fa202fe10dd716650a9990bd5d2f3387e4f1198dec6cf329582aaa2cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3e1d11160241ca9f074dc7d09260e4f76590a402e91db0808eb78a56e2fdbd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-04T12:09:01Z",
    "title_canon_sha256": "fafa4bc25d4f1576e0fa76e28b8a1a8bbe371edc1c52be064388c24ad53212a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00840",
    "kind": "arxiv",
    "version": 1
  }
}