Pith Number

pith:LPO5QMVL

pith:2009:LPO5QMVLJOCFJHJFHBVKMN7XTM

not attested not anchored not stored refs pending

Enriques diagrams, arbitrarily near points, and Hilbert schemes

Ilya Tyomkin (Appendix B), Ragni Piene, Steven Kleiman

arxiv:0905.2169 v3 · 2009-05-13 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPO5QMVLJOCFJHJFHBVKMN7XTM}

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	2026-05-18T04:31:12.147677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bddd832ab4b84549d25386aa637f79b094f99fa3533008c48b7eedce4d1bc51

Aliases

arxiv: 0905.2169 · arxiv_version: 0905.2169v3 · doi: 10.48550/arxiv.0905.2169 · pith_short_12: LPO5QMVLJOCF · pith_short_16: LPO5QMVLJOCFJHJF · pith_short_8: LPO5QMVL

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/LPO5QMVLJOCFJHJFHBVKMN7XTM \
  | 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: 5bddd832ab4b84549d25386aa637f79b094f99fa3533008c48b7eedce4d1bc51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4758d3de9074afeef4d0ac5094d95c8d49247c268fffa149d8bbdafd09babb1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-13T18:58:04Z",
    "title_canon_sha256": "d03db0bc18b773c9cfccfe4a9fb9ceaa394462937eabacc1b793ddd52f8fb650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2169",
    "kind": "arxiv",
    "version": 3
  }
}