Pith Number

pith:WXZURN3P

pith:2009:WXZURN3PPKLJRXPTBHOL3HE6DX

not attested not anchored not stored refs pending

The rank-one limit of the Fourier-Mukai transform

Alexis Kouvidakis, Gerard van der Geer

arxiv:0906.3793 v2 · 2009-06-20 · 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{WXZURN3PPKLJRXPTBHOL3HE6DX}

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	2026-05-18T04:39:39.190205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f348b76f7a9698ddf309dcbd9c9e1dd5fb9108c14c113fd6789e1ca3b02724

Aliases

arxiv: 0906.3793 · arxiv_version: 0906.3793v2 · doi: 10.48550/arxiv.0906.3793 · pith_short_12: WXZURN3PPKLJ · pith_short_16: WXZURN3PPKLJRXPT · pith_short_8: WXZURN3P

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/WXZURN3PPKLJRXPTBHOL3HE6DX \
  | 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: b5f348b76f7a9698ddf309dcbd9c9e1dd5fb9108c14c113fd6789e1ca3b02724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "460696b2a22243cc5cc4186e398745c3a4d8fc6dfe2332221854d2ef3ee62c1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-20T09:53:20Z",
    "title_canon_sha256": "296df3fe5a8d96a93cfe61035a2857bc1a388a0b996b299fcad601dbb87138b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3793",
    "kind": "arxiv",
    "version": 2
  }
}