Pith Number

pith:WQ7TQTUJ

pith:2016:WQ7TQTUJNT646XSZHUBTKWVVTK

not attested not anchored not stored refs pending

Stably co-tame polynomial automorphisms over commutative rings

Shigeru Kuroda

arxiv:1604.01551 v1 · 2016-04-06 · math.AC · 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{WQ7TQTUJNT646XSZHUBTKWVVTK}

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	2026-05-18T01:17:36.133120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43f384e896cfdcf5e593d03355ab59a8d2b6d2145fe8b12622f55143150c8d1

Aliases

arxiv: 1604.01551 · arxiv_version: 1604.01551v1 · doi: 10.48550/arxiv.1604.01551 · pith_short_12: WQ7TQTUJNT64 · pith_short_16: WQ7TQTUJNT646XSZ · pith_short_8: WQ7TQTUJ

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/WQ7TQTUJNT646XSZHUBTKWVVTK \
  | 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: b43f384e896cfdcf5e593d03355ab59a8d2b6d2145fe8b12622f55143150c8d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6ad925016d1dfb5923aa36c11b6403777adb7cd52ec430f7d4fffe09f80b382",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-04-06T09:20:40Z",
    "title_canon_sha256": "4e4fc5840c7b9df622740ede65a71a14ea8c19f0c20781d2b637134560927723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01551",
    "kind": "arxiv",
    "version": 1
  }
}