Pith Number

pith:ZZQH7FIG

pith:2009:ZZQH7FIGYNVAHFVW5IQK7DT3JD

not attested not anchored not stored refs pending

Splitting criteria for vector bundles on higher dimensional varieties

Parsa Bakhtary

arxiv:0902.3472 v3 · 2009-02-19 · 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{ZZQH7FIGYNVAHFVW5IQK7DT3JD}

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	2026-05-18T03:57:53.864955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce607f9506c36a0396b6ea20af8e7b48da8de2da945f69160c59484099e76126

Aliases

arxiv: 0902.3472 · arxiv_version: 0902.3472v3 · doi: 10.48550/arxiv.0902.3472 · pith_short_12: ZZQH7FIGYNVA · pith_short_16: ZZQH7FIGYNVAHFVW · pith_short_8: ZZQH7FIG

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/ZZQH7FIGYNVAHFVW5IQK7DT3JD \
  | 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: ce607f9506c36a0396b6ea20af8e7b48da8de2da945f69160c59484099e76126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3268b91719f5408abcd6e5b534b5e7101be6b796cd2f9c8e8ced4a19c635af25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-19T22:11:34Z",
    "title_canon_sha256": "8064042cef4a7fc66f041f41103bbd02f1b32ed04cfc08b06a8c1fa5c9606f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3472",
    "kind": "arxiv",
    "version": 3
  }
}