Pith Number

pith:WS4MU7UW

pith:2016:WS4MU7UWGOIFXINGXYCLTYNZ5G

not attested not anchored not stored refs pending

Closed subgroups of the polynomial automorphism group containing the affine subgroup

Eric Edo

arxiv:1609.02670 v1 · 2016-09-09 · 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{WS4MU7UWGOIFXINGXYCLTYNZ5G}

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	2026-05-18T01:04:52.806732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4b8ca7e9633905ba1a6be04b9e1b9e9988aea9736e2e77cac930abc2ebfea79

Aliases

arxiv: 1609.02670 · arxiv_version: 1609.02670v1 · doi: 10.48550/arxiv.1609.02670 · pith_short_12: WS4MU7UWGOIF · pith_short_16: WS4MU7UWGOIFXING · pith_short_8: WS4MU7UW

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/WS4MU7UWGOIFXINGXYCLTYNZ5G \
  | 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: b4b8ca7e9633905ba1a6be04b9e1b9e9988aea9736e2e77cac930abc2ebfea79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53abc04c48aa5111dc40f4b657280a963d4a66cbe8e4dc1c155ecc33916c7da9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-09-09T07:14:31Z",
    "title_canon_sha256": "533a7aa74edafdb07f581e181a3bc80289615b2286c12794c9c4350772ce326b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02670",
    "kind": "arxiv",
    "version": 1
  }
}