Pith Number

pith:7KRAETTN

pith:2009:7KRAETTNR7ICWLLGQ7Y32ZHF7F

not attested not anchored not stored refs pending

Rationality problem of three-dimensional monomial group actions

Aiichi Yamasaki, Akinari Hoshi, Hidetaka Kitayama

arxiv:0912.5259 v3 · 2009-12-29 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KRAETTNR7ICWLLGQ7Y32ZHF7F}

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	2026-05-18T04:31:31.203204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa2024e6d8fd02b2d6687f1bd64e5f97e4324891cbf8ce45f0a6ea7c9d5ed12

Aliases

arxiv: 0912.5259 · arxiv_version: 0912.5259v3 · doi: 10.48550/arxiv.0912.5259 · pith_short_12: 7KRAETTNR7IC · pith_short_16: 7KRAETTNR7ICWLLG · pith_short_8: 7KRAETTN

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/7KRAETTNR7ICWLLGQ7Y32ZHF7F \
  | 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: faa2024e6d8fd02b2d6687f1bd64e5f97e4324891cbf8ce45f0a6ea7c9d5ed12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dceb364f8c3e69d8df631231af42f769dfa76e49fe03fafc38b971f01cc43e3f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-29T12:25:23Z",
    "title_canon_sha256": "8d6cdf8bacc04e40e85cc650b3d487af32ce9421adbb38abb08d6a5944421c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5259",
    "kind": "arxiv",
    "version": 3
  }
}