Pith Number

pith:CYL4ZDUH

pith:2012:CYL4ZDUHXFZ36ZEXJNJIKSDEPX

not attested not anchored not stored refs pending

On The Zariski Topology Of Automorphism Groups Of Affine Spaces And Algebras

Alexei Kanel-Belov, Andrey Elishev, Jie-Tai Yu

arxiv:1207.2045 v6 · 2012-07-09 · math.RA · math-ph · math.AC · math.AG · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYL4ZDUHXFZ36ZEXJNJIKSDEPX}

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	2026-05-18T00:33:07.548891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1617cc8e87b973bf64974b528548647dce9255dc6da181f106d67c0da18d238e

Aliases

arxiv: 1207.2045 · arxiv_version: 1207.2045v6 · doi: 10.48550/arxiv.1207.2045 · pith_short_12: CYL4ZDUHXFZ3 · pith_short_16: CYL4ZDUHXFZ36ZEX · pith_short_8: CYL4ZDUH

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/CYL4ZDUHXFZ36ZEXJNJIKSDEPX \
  | 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: 1617cc8e87b973bf64974b528548647dce9255dc6da181f106d67c0da18d238e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4651cd909905cf6dceb2a28e8cccf17c84007692ac6af6bdc59ee6c4778c670f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AC",
      "math.AG",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-09T13:53:22Z",
    "title_canon_sha256": "ee63678cebaf24036b2912b70aac32b4dc942ac1243a38ee785926954ecafca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2045",
    "kind": "arxiv",
    "version": 6
  }
}