Pith Number

pith:ZPEP3CNY

pith:2011:ZPEP3CNYSSLBGP6LETYPRD6DLB

not attested not anchored not stored refs pending

Asymptotic base loci on singular varieties

Lorenzo Di Biagio, Salvatore Cacciola

arxiv:1105.1253 v2 · 2011-05-06 · 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{ZPEP3CNYSSLBGP6LETYPRD6DLB}

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	2026-05-18T03:42:55.928890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc8fd89b89496133fcb24f0f88fc3587ae62f3f60afed7a50d5d45004cba51f

Aliases

arxiv: 1105.1253 · arxiv_version: 1105.1253v2 · doi: 10.48550/arxiv.1105.1253 · pith_short_12: ZPEP3CNYSSLB · pith_short_16: ZPEP3CNYSSLBGP6L · pith_short_8: ZPEP3CNY

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/ZPEP3CNYSSLBGP6LETYPRD6DLB \
  | 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: cbc8fd89b89496133fcb24f0f88fc3587ae62f3f60afed7a50d5d45004cba51f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ff06b8c828742c8ca3e3f160972967b868fc9de38a488435f188e78b436d8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-06T09:48:48Z",
    "title_canon_sha256": "67809bc4d8fcdb91b86f20ad28ffb04900c23cad70625801f781dda94efa6e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1253",
    "kind": "arxiv",
    "version": 2
  }
}