Pith Number

pith:M7YZ7YUO

pith:2008:M7YZ7YUO6ZZAHBX5KNWO3NZVNQ

not attested not anchored not stored refs pending

Affine T-varieties of complexity one and locally nilpotent derivations

Alvaro Liendo

arxiv:0812.0802 v2 · 2008-12-03 · 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{M7YZ7YUO6ZZAHBX5KNWO3NZVNQ}

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	2026-05-18T02:24:56.750931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f19fe28ef6720386fd536cedb7356c25ec50f9a339d5f5c91e3fd389d77ccd

Aliases

arxiv: 0812.0802 · arxiv_version: 0812.0802v2 · doi: 10.48550/arxiv.0812.0802 · pith_short_12: M7YZ7YUO6ZZA · pith_short_16: M7YZ7YUO6ZZAHBX5 · pith_short_8: M7YZ7YUO

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/M7YZ7YUO6ZZAHBX5KNWO3NZVNQ \
  | 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: 67f19fe28ef6720386fd536cedb7356c25ec50f9a339d5f5c91e3fd389d77ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2860dba0125bc4e279915cb7eacd4c7fbf38f516b8a0c3159b211a2bfa814c87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-12-03T20:36:21Z",
    "title_canon_sha256": "7fbc92b2001f9b06c152e3376fb17a62b87b0e8db005e3753cce4f5036a1f629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0802",
    "kind": "arxiv",
    "version": 2
  }
}