Pith Number

pith:EOBGWJM5

pith:2012:EOBGWJM5S6Y3YWLX23OIDEJN4G

not attested not anchored not stored refs pending

Singular hypersurfaces characterizing the Lefschetz properties

Giovanna Ilardi, Jean Vall\`es (LMA-Pau), Roberta Di Gennaro

arxiv:1210.2292 v3 · 2012-10-08 · 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{EOBGWJM5S6Y3YWLX23OIDEJN4G}

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	2026-05-18T02:57:53.241830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23826b259d97b1bc5977d6dc81912de1b76025e4ce0248134c183a468e15686b

Aliases

arxiv: 1210.2292 · arxiv_version: 1210.2292v3 · doi: 10.48550/arxiv.1210.2292 · pith_short_12: EOBGWJM5S6Y3 · pith_short_16: EOBGWJM5S6Y3YWLX · pith_short_8: EOBGWJM5

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/EOBGWJM5S6Y3YWLX23OIDEJN4G \
  | 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: 23826b259d97b1bc5977d6dc81912de1b76025e4ce0248134c183a468e15686b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39780ed80a317d918eb5748b31ee3bcc866016ac6502d5377b485b6f3667f911",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-08T14:23:01Z",
    "title_canon_sha256": "483bf29b42dfe05de20de6567b8bd04823d044acc03ca70b4ca69c01fc5be4a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2292",
    "kind": "arxiv",
    "version": 3
  }
}