Pith Number

pith:FAT5MLGH

pith:2012:FAT5MLGHO66LS2SKC246DDQKUC

not attested not anchored not stored refs pending

Polar varieties, Bertini's theorems and number of points of singular complete intersections over a finite field

Antonio Cafure, Guillermo Matera, Melina Privitelli

arxiv:1209.4938 v2 · 2012-09-21 · 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{FAT5MLGHO66LS2SKC246DDQKUC}

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	2026-05-18T03:21:45.541488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2827d62cc777bcb96a4a16b9e18e0aa0aeb1116a638bc0a046a861223d0023ad

Aliases

arxiv: 1209.4938 · arxiv_version: 1209.4938v2 · doi: 10.48550/arxiv.1209.4938 · pith_short_12: FAT5MLGHO66L · pith_short_16: FAT5MLGHO66LS2SK · pith_short_8: FAT5MLGH

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/FAT5MLGHO66LS2SKC246DDQKUC \
  | 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: 2827d62cc777bcb96a4a16b9e18e0aa0aeb1116a638bc0a046a861223d0023ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a230baa5f6c126c5dd3e67358b9d3334ec5767313abade8fdc0cb0de50756a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-21T23:50:21Z",
    "title_canon_sha256": "06feda12902b77bc76e4f1cce988b7eb305211aee35fc6eb8293ae6856c541f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4938",
    "kind": "arxiv",
    "version": 2
  }
}