Pith Number

pith:L3CWMNGX

pith:2016:L3CWMNGXYCTF5NZVSYPXXGINPN

not attested not anchored not stored refs pending

The automorphism theorem and additive group actions on the affine plane

Shigeru Kuroda

arxiv:1604.04070 v1 · 2016-04-14 · math.AC · 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{L3CWMNGXYCTF5NZVSYPXXGINPN}

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	2026-05-18T01:17:06.764671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec56634d7c0a65eb735961f7b990d7b44a3468a2a78e5d0a32d36401f52b283

Aliases

arxiv: 1604.04070 · arxiv_version: 1604.04070v1 · doi: 10.48550/arxiv.1604.04070 · pith_short_12: L3CWMNGXYCTF · pith_short_16: L3CWMNGXYCTF5NZV · pith_short_8: L3CWMNGX

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/L3CWMNGXYCTF5NZVSYPXXGINPN \
  | 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: 5ec56634d7c0a65eb735961f7b990d7b44a3468a2a78e5d0a32d36401f52b283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8197062826c389b8f58f1638c69671a13a37f9c5db68fd0f60098119c34cf926",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-04-14T08:31:58Z",
    "title_canon_sha256": "b26016046133048dc44d0167e9816c53d414f6b0bde511eba901d1857e2ea8f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04070",
    "kind": "arxiv",
    "version": 1
  }
}