Pith Number

pith:YTVW3O45

pith:2011:YTVW3O45M6AVP3N62ELLEWPJ3P

not attested not anchored not stored refs pending

On Automorphisms of the Affine Cremona Group

Hanspeter Kraft, Immanuel Stampfli

arxiv:1105.3739 v2 · 2011-05-18 · 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{YTVW3O45M6AVP3N62ELLEWPJ3P}

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	2026-05-18T00:57:05.206687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4eb6dbb9d678157edbed116b259e9dbe8ff57aa0cc34b934dd3c9f0b475e69b

Aliases

arxiv: 1105.3739 · arxiv_version: 1105.3739v2 · doi: 10.48550/arxiv.1105.3739 · pith_short_12: YTVW3O45M6AV · pith_short_16: YTVW3O45M6AVP3N6 · pith_short_8: YTVW3O45

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/YTVW3O45M6AVP3N62ELLEWPJ3P \
  | 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: c4eb6dbb9d678157edbed116b259e9dbe8ff57aa0cc34b934dd3c9f0b475e69b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e39e00fb00efc5dbd795d330722b38f5ef9a350ec5aeed2e66a0d11086405784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-18T20:08:05Z",
    "title_canon_sha256": "e41c064b061df343870c8518481ee297b9b53c42f8c4fb88ac358f52e1e4fe9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3739",
    "kind": "arxiv",
    "version": 2
  }
}