Pith Number

pith:IEMYOHV5

pith:2008:IEMYOHV5FBPKDXMZ43CUHOIHDY

not attested not anchored not stored refs pending

Singularities on normal varieties

Christopher D. Hacon, Tommaso de Fernex

arxiv:0805.1767 v2 · 2008-05-13 · 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{IEMYOHV5FBPKDXMZ43CUHOIHDY}

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	2026-05-18T03:02:44.899310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4119871ebd285ea1dd99e6c543b9071e179b8c9cd357fbe76fa2e0368ded547e

Aliases

arxiv: 0805.1767 · arxiv_version: 0805.1767v2 · doi: 10.48550/arxiv.0805.1767 · pith_short_12: IEMYOHV5FBPK · pith_short_16: IEMYOHV5FBPKDXMZ · pith_short_8: IEMYOHV5

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/IEMYOHV5FBPKDXMZ43CUHOIHDY \
  | 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: 4119871ebd285ea1dd99e6c543b9071e179b8c9cd357fbe76fa2e0368ded547e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb761e96c24f82fd44cb5ba6afcb53a1ca9774d1316ef5128baabcf63292fbe",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-05-13T17:18:22Z",
    "title_canon_sha256": "f8defb4444dadbb539ea8e0b90042a6e8b0e614f1805b9da59185b55ba753250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1767",
    "kind": "arxiv",
    "version": 2
  }
}