Pith Number

pith:ALSPVU4I

pith:2013:ALSPVU4IZXFLUORSZ3GI2OCZ24

not attested not anchored not stored refs pending

Birational Mori fiber structures of Q-Fano 3-fold weighted complete intersections

Takuzo Okada

arxiv:1310.5315 v2 · 2013-10-20 · 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{ALSPVU4IZXFLUORSZ3GI2OCZ24}

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	2026-05-18T03:00:02.754727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02e4fad388cdcaba3a32cecc8d3859d719e0dc693f930fdb11ec1b53a8af4ebc

Aliases

arxiv: 1310.5315 · arxiv_version: 1310.5315v2 · doi: 10.48550/arxiv.1310.5315 · pith_short_12: ALSPVU4IZXFL · pith_short_16: ALSPVU4IZXFLUORS · pith_short_8: ALSPVU4I

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/ALSPVU4IZXFLUORSZ3GI2OCZ24 \
  | 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: 02e4fad388cdcaba3a32cecc8d3859d719e0dc693f930fdb11ec1b53a8af4ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4196d11f875498e3ddfdf1503e554ad99b29829441d750b707976fd061312e74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-20T10:04:01Z",
    "title_canon_sha256": "6a2d08cd84256ae0fdb9193aca86303e4e510c2acb439b479ec389768fea2da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5315",
    "kind": "arxiv",
    "version": 2
  }
}