Pith Number

pith:UNFFFVR6

pith:2018:UNFFFVR6OELRTFB5FUBT323MKL

not attested not anchored not stored refs pending

Rationality problem for norm one tori

Aiichi Yamasaki, Akinari Hoshi

arxiv:1811.01676 v4 · 2018-11-05 · 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{UNFFFVR6OELRTFB5FUBT323MKL}

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	2026-05-17T23:45:15.264954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a34a52d63e711719943d2d033deb6c52d7f5e7e445e0d448afefee9308156241

Aliases

arxiv: 1811.01676 · arxiv_version: 1811.01676v4 · doi: 10.48550/arxiv.1811.01676 · pith_short_12: UNFFFVR6OELR · pith_short_16: UNFFFVR6OELRTFB5 · pith_short_8: UNFFFVR6

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/UNFFFVR6OELRTFB5FUBT323MKL \
  | 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: a34a52d63e711719943d2d033deb6c52d7f5e7e445e0d448afefee9308156241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "486eef950317b3e2d0c1d2abdd7bdd69b3ba74903b90dfbf460b806a8f77ccdf",
    "cross_cats_sorted": [
      "math.NT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-05T13:40:46Z",
    "title_canon_sha256": "d3d62d8b8613ebcdc3e53714b81c94facfc298f36a4db33d7eb84930c957bad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01676",
    "kind": "arxiv",
    "version": 4
  }
}