Pith Number

pith:V5AV4UNV

pith:2004:V5AV4UNVJGD2SUD5WA5OELBEWM

not attested not anchored not stored refs pending

Fourier-Mukai Transforms

Lutz Hille, Michel Van den Bergh

arxiv:math/0402043 v2 · 2004-02-03 · 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{V5AV4UNVJGD2SUD5WA5OELBEWM}

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

Nonexistence of phantom categories on very general noncommutative projective planes

Receipt and verification

First computed	2026-07-04T14:38:12.490689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af415e51b54987a9507db03ae22c24b31d452908ae17f0041abf58133c73b75f

Aliases

arxiv: math/0402043 · arxiv_version: math/0402043v2 · doi: 10.48550/arxiv.math/0402043 · pith_short_12: V5AV4UNVJGD2 · pith_short_16: V5AV4UNVJGD2SUD5 · pith_short_8: V5AV4UNV

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/V5AV4UNVJGD2SUD5WA5OELBEWM \
  | 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: af415e51b54987a9507db03ae22c24b31d452908ae17f0041abf58133c73b75f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1db8e3ab55a51a96a453581581eb01baa362206a9db582bae93babfad2f7c9b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-02-03T20:29:12Z",
    "title_canon_sha256": "42f188a0657dab72d6c65324ef30fe922d4fb3bea52931461af4d181e2398364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402043",
    "kind": "arxiv",
    "version": 2
  }
}