Pith Number

pith:FMBFYKQ6

pith:2021:FMBFYKQ6MPTOWUPB6MINIBRZEJ

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 II

Hiromichi Takagi

arxiv:2111.14328 v1 · 2021-11-29 · 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{FMBFYKQ6MPTOWUPB6MINIBRZEJ}

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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

Key variety construction of Sarkisov links for prime $\mathbb{Q}$-Fano threefolds of codimension four associated to Type ${\rm II}_{2}$ projections

Receipt and verification

First computed	2026-07-05T03:35:41.668756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b025c2a1e63e6eb51e1f310d40639226c87e370916398741a24ef05d41f7a21

Aliases

arxiv: 2111.14328 · arxiv_version: 2111.14328v1 · doi: 10.48550/arxiv.2111.14328 · pith_short_12: FMBFYKQ6MPTO · pith_short_16: FMBFYKQ6MPTOWUPB · pith_short_8: FMBFYKQ6

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/FMBFYKQ6MPTOWUPB6MINIBRZEJ \
  | 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: 2b025c2a1e63e6eb51e1f310d40639226c87e370916398741a24ef05d41f7a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a60f8fb59e6352a97f2e2196d00e514d78c9e7c5f56f05fe766368f14469cb7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-11-29T05:08:56Z",
    "title_canon_sha256": "98b5ce91997f348115e3319a0158d8f0fef4eb532dd3bfdc8218c5f2cb512d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.14328",
    "kind": "arxiv",
    "version": 1
  }
}