Pith Number

pith:3MJ3D6G5

pith:2010:3MJ3D6G5Z7HEDPFIQGMVLIFEZF

not attested not anchored not stored refs pending

Schur finiteness and nilpotency

Alessio del Padrone, Carlo Mazza

arxiv:1010.3922 v1 · 2010-10-19 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MJ3D6G5Z7HEDPFIQGMVLIFEZF}

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	2026-05-18T04:23:21.176807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db13b1f8ddcfce41bca8819955a0a4c95865afe02c6281bb370e91069af6b98e

Aliases

arxiv: 1010.3922 · arxiv_version: 1010.3922v1 · doi: 10.48550/arxiv.1010.3922 · pith_short_12: 3MJ3D6G5Z7HE · pith_short_16: 3MJ3D6G5Z7HEDPFI · pith_short_8: 3MJ3D6G5

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/3MJ3D6G5Z7HEDPFIQGMVLIFEZF \
  | 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: db13b1f8ddcfce41bca8819955a0a4c95865afe02c6281bb370e91069af6b98e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da326e20463e806ca062514fbb171714c12b3139fcb0ffb47e242c0c810e5345",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-19T14:20:21Z",
    "title_canon_sha256": "b628dbd212e83af52dbf86bf7e554b9c533e5d216ea81d6a19ab01737b285358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3922",
    "kind": "arxiv",
    "version": 1
  }
}