Pith Number

pith:7P5PM6AX

pith:2006:7P5PM6AXO33J3XFKTYBPRFDC54

not attested not anchored not stored refs pending

The Horrocks-Mumford bundle restricted to planes

Ada Boralevi

arxiv:math/0602002 v2 · 2006-01-31 · 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{7P5PM6AXO33J3XFKTYBPRFDC54}

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	2026-05-18T03:10:34.755623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbfaf6781776f69ddcaa9e02f89462ef29d0812ba1cec319f576da664f8057ec

Aliases

arxiv: math/0602002 · arxiv_version: math/0602002v2 · doi: 10.48550/arxiv.math/0602002 · pith_short_12: 7P5PM6AXO33J · pith_short_16: 7P5PM6AXO33J3XFK · pith_short_8: 7P5PM6AX

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/7P5PM6AXO33J3XFKTYBPRFDC54 \
  | 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: fbfaf6781776f69ddcaa9e02f89462ef29d0812ba1cec319f576da664f8057ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235764124acb97bdcd7695d45c145c34b9f2a4ecc03977583314113c4637f92a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-01-31T23:13:46Z",
    "title_canon_sha256": "7e96428ad6468492f036f5fdfc34ab146e79a3d050477462f8da850659dd7948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602002",
    "kind": "arxiv",
    "version": 2
  }
}