Pith Number

pith:K5SJGXFG

pith:2007:K5SJGXFGL75FR4UAGWTOVKH4ZV

not attested not anchored not stored refs pending

Fourier-Mukai transforms of line bundles on derived equivalent abelian varieties

Martin G. Gulbrandsen

arxiv:0711.2238 v1 · 2007-11-14 · 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{K5SJGXFGL75FR4UAGWTOVKH4ZV}

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	2026-05-18T04:09:36.499471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5764935ca65ffa58f28035a6eaa8fccd79eb25c1c01d2acd3c2113073e63b59f

Aliases

arxiv: 0711.2238 · arxiv_version: 0711.2238v1 · doi: 10.48550/arxiv.0711.2238 · pith_short_12: K5SJGXFGL75F · pith_short_16: K5SJGXFGL75FR4UA · pith_short_8: K5SJGXFG

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/K5SJGXFGL75FR4UAGWTOVKH4ZV \
  | 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: 5764935ca65ffa58f28035a6eaa8fccd79eb25c1c01d2acd3c2113073e63b59f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "640902a3972126fe6086cef7caef41049b10ae2c0f6b70912a88c82b624e8ae0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-11-14T16:37:54Z",
    "title_canon_sha256": "7ccf75882302c62c4e47eb9e5079892d7163c67996aa0b755b3bd1eccbd39526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2238",
    "kind": "arxiv",
    "version": 1
  }
}