Pith Number

pith:HSVQ4QBV

pith:2012:HSVQ4QBV3HSDOAIDWA33ZPHHXM

not attested not anchored not stored refs pending

A note on Automorphisms of the Affine Cremona Group

Immanuel Stampfli

arxiv:1209.3427 v3 · 2012-09-15 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSVQ4QBV3HSDOAIDWA33ZPHHXM}

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	2026-05-18T00:57:05.167765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cab0e4035d9e4370103b037bcbce7bb2fcb1dcb26bc82f8a712f6845fd6cc0b

Aliases

arxiv: 1209.3427 · arxiv_version: 1209.3427v3 · doi: 10.48550/arxiv.1209.3427 · pith_short_12: HSVQ4QBV3HSD · pith_short_16: HSVQ4QBV3HSDOAID · pith_short_8: HSVQ4QBV

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/HSVQ4QBV3HSDOAIDWA33ZPHHXM \
  | 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: 3cab0e4035d9e4370103b037bcbce7bb2fcb1dcb26bc82f8a712f6845fd6cc0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257fdd4bf51346cb0966fabbb186ca44286100e5f7c5a83c3d8be4c4dfcedd33",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-15T18:39:46Z",
    "title_canon_sha256": "e0a2790538e0ddd2c3ea991df8882cf5333d0f6a2d85a518062a64133c208bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3427",
    "kind": "arxiv",
    "version": 3
  }
}