Pith Number

pith:KJHKIBID

pith:2021:KJHKIBID5O4P37Q4VKB3OMCL75

not attested not anchored not stored refs pending

Key Varieties for Prime $\mathbb{Q}$-Fano Threefolds related with $\mathbb{P}^2\times \mathbb{P}^2$-Fibrations. Part I

Hiromichi Takagi

arxiv:2103.11086 v2 · 2021-03-20 · 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{KJHKIBID5O4P37Q4VKB3OMCL75}

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.

Cited by

1 paper in Pith

A survey on birational Rigidity of threefold Weighted Complete Intersections

Receipt and verification

First computed	2026-07-05T03:25:12.969659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

524ea40503ebb8fdfe1caa83b7304bff7fe7cd286a881cd2ccafdbbaad9fc4f9

Aliases

arxiv: 2103.11086 · arxiv_version: 2103.11086v2 · doi: 10.48550/arxiv.2103.11086 · pith_short_12: KJHKIBID5O4P · pith_short_16: KJHKIBID5O4P37Q4 · pith_short_8: KJHKIBID

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/KJHKIBID5O4P37Q4VKB3OMCL75 \
  | 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: 524ea40503ebb8fdfe1caa83b7304bff7fe7cd286a881cd2ccafdbbaad9fc4f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ffea862c90a86dd23bd2cd6caf508742dbf6307d635d284ec298a586a27e11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-03-20T03:32:34Z",
    "title_canon_sha256": "70136d5cf173c9e61cd219c7d9878d010e9cf93655f9af9b293be5d2e825e861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.11086",
    "kind": "arxiv",
    "version": 2
  }
}