Pith Number

pith:4TQJNANN

pith:2010:4TQJNANNPLIDN2PUVD3X7CIBYG

not attested not anchored not stored refs pending

Nilpotent operators and weighted projective lines

Dirk Kussin, Hagen Meltzer, Helmut Lenzing

arxiv:1002.3797 v2 · 2010-02-19 · math.RT · 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{4TQJNANNPLIDN2PUVD3X7CIBYG}

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	2026-05-18T00:51:07.797903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e09681ad7ad036e9f4a8f77f8901c18bce1bffdf6414f076036a541f77a9d6

Aliases

arxiv: 1002.3797 · arxiv_version: 1002.3797v2 · doi: 10.48550/arxiv.1002.3797 · pith_short_12: 4TQJNANNPLID · pith_short_16: 4TQJNANNPLIDN2PU · pith_short_8: 4TQJNANN

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/4TQJNANNPLIDN2PUVD3X7CIBYG \
  | 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: e4e09681ad7ad036e9f4a8f77f8901c18bce1bffdf6414f076036a541f77a9d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e031673a3b8ed7c1dbc217b9a1ec2785ce6987e618831bcbb0d6b4ab99cd39",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-02-19T17:59:49Z",
    "title_canon_sha256": "18965399937c3961824ee5a534f0df546de78677b20f0d384791976894a63c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3797",
    "kind": "arxiv",
    "version": 2
  }
}