Pith Number

pith:XIOJG2DS

pith:2012:XIOJG2DS3KQWVXVBNAAYXCDVPF

not attested not anchored not stored refs pending

Effective divisors on the Hilbert scheme of points in the plane and interpolation for stable bundles

Jack Huizenga

arxiv:1210.6576 v3 · 2012-10-24 · 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{XIOJG2DS3KQWVXVBNAAYXCDVPF}

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	2026-05-18T03:08:38.266877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1c936872daa16adea168018b8875796a02d2f55a36da0be2dd9ab02db24b43

Aliases

arxiv: 1210.6576 · arxiv_version: 1210.6576v3 · doi: 10.48550/arxiv.1210.6576 · pith_short_12: XIOJG2DS3KQW · pith_short_16: XIOJG2DS3KQWVXVB · pith_short_8: XIOJG2DS

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/XIOJG2DS3KQWVXVBNAAYXCDVPF \
  | 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: ba1c936872daa16adea168018b8875796a02d2f55a36da0be2dd9ab02db24b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30066ad416d0cfe271f84be3903e8490ade8739d622f2e685f4a7626ab8b28a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-24T15:45:12Z",
    "title_canon_sha256": "5f340aa461c8c76e198b5b5b0928d8bc4d9c0eeede531ab0f6e631e50c920836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6576",
    "kind": "arxiv",
    "version": 3
  }
}