Pith Number

pith:FMM37U2Q

pith:2002:FMM37U2QRP6JF64UCLS63KI3J4

not attested not anchored not stored refs pending

Fourier-Mukai partners of a K3 surface of Picard number one

Bong H. Lian, Keiji Oguiso, Shing-Tung Yau, Shinobu Hosono

arxiv:math/0211249 v2 · 2002-11-16 · 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{FMM37U2QRP6JF64UCLS63KI3J4}

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

Advancements in Functorial Homological Mirror Symmetry

Receipt and verification

First computed	2026-07-04T14:36:44.534685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b19bfd3508bfc92fb9412e5eda91b4f026a749563dfb8a352bb3464b30d234f

Aliases

arxiv: math/0211249 · arxiv_version: math/0211249v2 · doi: 10.48550/arxiv.math/0211249 · pith_short_12: FMM37U2QRP6J · pith_short_16: FMM37U2QRP6JF64U · pith_short_8: FMM37U2Q

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/FMM37U2QRP6JF64UCLS63KI3J4 \
  | 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: 2b19bfd3508bfc92fb9412e5eda91b4f026a749563dfb8a352bb3464b30d234f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36f5fe58afb73f52010d3c3f8594c5e535e85fa2a3b346c68704df05badfddb2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-11-16T09:05:49Z",
    "title_canon_sha256": "d332eaeee3166f867fe5934eb4240912f9d6f5a8292bad486357f78847503066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211249",
    "kind": "arxiv",
    "version": 2
  }
}