Pith Number

pith:NFZ6PONB

pith:2015:NFZ6PONB46VFBIMXW76UGQDBXT

not attested not anchored not stored refs pending

Automorphism Groups of Affine Varieties and a Characterization of Affine n-Space

Hanspeter Kraft

arxiv:1501.06362 v1 · 2015-01-26 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFZ6PONB46VFBIMXW76UGQDBXT}

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	2026-05-18T02:28:41.680846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6973e7b9a1e7aa50a197b7fd434061bcd3e8caa1e4642b3966276f7bcb0755cb

Aliases

arxiv: 1501.06362 · arxiv_version: 1501.06362v1 · doi: 10.48550/arxiv.1501.06362 · pith_short_12: NFZ6PONB46VF · pith_short_16: NFZ6PONB46VFBIMX · pith_short_8: NFZ6PONB

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/NFZ6PONB46VFBIMXW76UGQDBXT \
  | 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: 6973e7b9a1e7aa50a197b7fd434061bcd3e8caa1e4642b3966276f7bcb0755cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccc14b0177533ad258fd933da41aff4763e7cdd100c6f142292c8ac4d7a7c495",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-26T12:24:50Z",
    "title_canon_sha256": "c93c9a8b8fd4bf93d6b57b4a6406ffccb21355d03e8bb9341c190ffdaedf3b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06362",
    "kind": "arxiv",
    "version": 1
  }
}