Pith Number

pith:GQJBLQUS

pith:2015:GQJBLQUSIA3WM6Z2TEQI6HZKMX

not attested not anchored not stored refs pending

Rationality problems for relation modules of dihedral groups

Aiichi Yamasaki, Akinari Hoshi, Ming-chang Kang

arxiv:1503.04543 v2 · 2015-03-16 · math.NT · 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{GQJBLQUSIA3WM6Z2TEQI6HZKMX}

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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	2026-05-18T00:31:36.579197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

341215c2924037667b3a99208f1f2a65ed873c89f1c410777de63bf13fff441d

Aliases

arxiv: 1503.04543 · arxiv_version: 1503.04543v2 · doi: 10.48550/arxiv.1503.04543 · pith_short_12: GQJBLQUSIA3W · pith_short_16: GQJBLQUSIA3WM6Z2 · pith_short_8: GQJBLQUS

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/GQJBLQUSIA3WM6Z2TEQI6HZKMX \
  | 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: 341215c2924037667b3a99208f1f2a65ed873c89f1c410777de63bf13fff441d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e3ebadb854fa39854c13453130e44e6356f11c1d32f18b1018023744e53c52",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-16T07:14:36Z",
    "title_canon_sha256": "ec9fa6ad34b5460318a10c7c81d49d823ae9c2db08d71b960cd86efb5b0e6916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04543",
    "kind": "arxiv",
    "version": 2
  }
}