Pith Number

pith:23TQRE3A

pith:2001:23TQRE3ALVA7N3GNVRNCFWZMUW

not attested not anchored not stored refs pending

A note on Fourier-Mukai transform

Kota Yoshioka

arxiv:math/0112267 v3 · 2001-12-24 · 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{23TQRE3ALVA7N3GNVRNCFWZMUW}

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	2026-07-04T14:35:49.941680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e70893605d41f6eccdac5a22db2ca58690f58191a97151b6b0d9c870e476d1

Aliases

arxiv: math/0112267 · arxiv_version: math/0112267v3 · doi: 10.48550/arxiv.math/0112267 · pith_short_12: 23TQRE3ALVA7 · pith_short_16: 23TQRE3ALVA7N3GN · pith_short_8: 23TQRE3A

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/23TQRE3ALVA7N3GNVRNCFWZMUW \
  | 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: d6e70893605d41f6eccdac5a22db2ca58690f58191a97151b6b0d9c870e476d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe0a4bae249b81453bff2e4bd2949da165fc4384f80c11407e97d603c7076f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-12-24T05:59:50Z",
    "title_canon_sha256": "0846fd1b2d867905221f8f4acd69d950fa30f2bf028c6586cd44f58421cd7891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112267",
    "kind": "arxiv",
    "version": 3
  }
}