Pith Number

pith:55WXPSWN

pith:2010:55WXPSWNXFNT373VKTOZP2QWTI

not attested not anchored not stored refs pending

On the essential dimension of infinitesimal group schemes

Angelo Vistoli, Dajano Tossici

arxiv:1001.3988 v3 · 2010-01-22 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55WXPSWNXFNT373VKTOZP2QWTI}

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	2026-05-18T04:38:50.694164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6d77cacdb95b3dff7554dd97ea169a37db5c62962ad41139622d34532b8617

Aliases

arxiv: 1001.3988 · arxiv_version: 1001.3988v3 · doi: 10.48550/arxiv.1001.3988 · pith_short_12: 55WXPSWNXFNT · pith_short_16: 55WXPSWNXFNT373V · pith_short_8: 55WXPSWN

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/55WXPSWNXFNT373VKTOZP2QWTI \
  | 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: ef6d77cacdb95b3dff7554dd97ea169a37db5c62962ad41139622d34532b8617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b8d01c7dc1407c2fa293e5085526ab44ce5427a7ca84823b07e0ed52069a13",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-22T19:00:15Z",
    "title_canon_sha256": "d7c9b8368031aaa548dd6f99d3ea7ddac032d4caf6678b5989d6279e1af6627e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3988",
    "kind": "arxiv",
    "version": 3
  }
}