Pith Number

pith:KXWIR2HR

pith:2012:KXWIR2HRWGE4XHB5TIRDRAWB2Y

not attested not anchored not stored refs pending

Torsion representations arising from $(\varphi,\hat{G})$-modules

Yoshiyasu Ozeki

arxiv:1202.1858 v1 · 2012-02-09 · 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{KXWIR2HRWGE4XHB5TIRDRAWB2Y}

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	2026-05-18T04:02:38.962501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55ec88e8f1b189cb9c3d9a223882c1d63703a4b18297d5c954e19ed11b30208f

Aliases

arxiv: 1202.1858 · arxiv_version: 1202.1858v1 · doi: 10.48550/arxiv.1202.1858 · pith_short_12: KXWIR2HRWGE4 · pith_short_16: KXWIR2HRWGE4XHB5 · pith_short_8: KXWIR2HR

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/KXWIR2HRWGE4XHB5TIRDRAWB2Y \
  | 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: 55ec88e8f1b189cb9c3d9a223882c1d63703a4b18297d5c954e19ed11b30208f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "893ce3a004f4eda03709b4188a52da2d9c10a20e7d1b50229be2776071a5d7a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-09T00:00:28Z",
    "title_canon_sha256": "3561c28a1bb46569312ec958303dc8ebeda19ebd509ff54f8f7aafc560a9be7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1858",
    "kind": "arxiv",
    "version": 1
  }
}