Pith Number

pith:LLFBWQ36

pith:2011:LLFBWQ36W3S7ZXUXC5XELV7DOW

not attested not anchored not stored refs pending

On subcanonical Gorenstein varieties and apolarity

Francesco Zucconi, Pietro De Poi

arxiv:1112.2897 v2 · 2011-12-13 · 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{LLFBWQ36W3S7ZXUXC5XELV7DOW}

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	2026-05-18T02:57:54.004804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aca1b437eb6e5fcde97176e45d7e375ba0a8d5d7b7b6383218a62ee663b870b

Aliases

arxiv: 1112.2897 · arxiv_version: 1112.2897v2 · doi: 10.48550/arxiv.1112.2897 · pith_short_12: LLFBWQ36W3S7 · pith_short_16: LLFBWQ36W3S7ZXUX · pith_short_8: LLFBWQ36

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/LLFBWQ36W3S7ZXUXC5XELV7DOW \
  | 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: 5aca1b437eb6e5fcde97176e45d7e375ba0a8d5d7b7b6383218a62ee663b870b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d42d21efc733e07fd42a29e72e95c095aa46ad29b367af8768beaf0bc700cdc1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-13T14:12:25Z",
    "title_canon_sha256": "172f21db598eed94479f0955a8bf0fc58c83f56a83bcdcbf01263932badfebf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2897",
    "kind": "arxiv",
    "version": 2
  }
}