Pith Number

pith:ZLIUFXDL

pith:2012:ZLIUFXDLPK4N6LDWJLWBXKTLZE

not attested not anchored not stored refs pending

Rationality problem for algebraic tori

Aiichi Yamasaki, Akinari Hoshi

arxiv:1210.4525 v6 · 2012-10-16 · math.AG · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLIUFXDLPK4N6LDWJLWBXKTLZE}

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	2026-05-18T00:49:35.435190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad142dc6b7ab8df2c764aec1baa6bc929ad66176a632128b94b74612b4d339b

Aliases

arxiv: 1210.4525 · arxiv_version: 1210.4525v6 · doi: 10.48550/arxiv.1210.4525 · pith_short_12: ZLIUFXDLPK4N · pith_short_16: ZLIUFXDLPK4N6LDW · pith_short_8: ZLIUFXDL

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/ZLIUFXDLPK4N6LDWJLWBXKTLZE \
  | 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: cad142dc6b7ab8df2c764aec1baa6bc929ad66176a632128b94b74612b4d339b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c422e0440d5b0333738254ec9ba82f819718d1ad382c7884d93518a5e32ab36",
    "cross_cats_sorted": [
      "math.NT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-16T18:50:38Z",
    "title_canon_sha256": "3df2aa9e98c7602cf90db1d6bebce0226dc01af34d599a4d049fcc90dc75a410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4525",
    "kind": "arxiv",
    "version": 6
  }
}