Pith Number

pith:BISXM2GM

pith:2012:BISXM2GM54W22QCS53EOF24YPZ

not attested not anchored not stored refs pending

On varieties with higher osculating defect

Giovanna Ilardi, Pietro De Poi, Roberta Di Gennaro

arxiv:1204.4399 v1 · 2012-04-19 · math.AG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BISXM2GM54W22QCS53EOF24YPZ}

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	2026-05-18T02:49:54.299333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a257668ccef2dad4052eec8e2eb987e58cc14b38482e700766dd5ccd23c4344

Aliases

arxiv: 1204.4399 · arxiv_version: 1204.4399v1 · doi: 10.48550/arxiv.1204.4399 · pith_short_12: BISXM2GM54W2 · pith_short_16: BISXM2GM54W22QCS · pith_short_8: BISXM2GM

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/BISXM2GM54W22QCS53EOF24YPZ \
  | 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: 0a257668ccef2dad4052eec8e2eb987e58cc14b38482e700766dd5ccd23c4344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdb938e8902887efc6a21a8b6e5781efcca7a0b70b1a6bafdc2e5929ca1e2dea",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-19T16:15:10Z",
    "title_canon_sha256": "9cd9bfe3cbe86a6ab8195f72b41395a1e02b767a35ef4df2afcd38877028f2f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4399",
    "kind": "arxiv",
    "version": 1
  }
}