Pith Number

pith:HKGC6BDD

pith:2013:HKGC6BDDG367ESDTRNXJXTX4M2

not attested not anchored not stored refs pending

A generalization of a theorem of Imai and its applications to Iwasawa theory

Yuichiro Taguchi, Yusuke Kubo

arxiv:1304.4332 v1 · 2013-04-16 · 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{HKGC6BDDG367ESDTRNXJXTX4M2}

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	2026-05-18T03:27:53.409082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8c2f046336fdf248738b6e9bcefc668d32cb6115f851c558c58b0d40c7a0f0

Aliases

arxiv: 1304.4332 · arxiv_version: 1304.4332v1 · doi: 10.48550/arxiv.1304.4332 · pith_short_12: HKGC6BDDG367 · pith_short_16: HKGC6BDDG367ESDT · pith_short_8: HKGC6BDD

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/HKGC6BDDG367ESDTRNXJXTX4M2 \
  | 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: 3a8c2f046336fdf248738b6e9bcefc668d32cb6115f851c558c58b0d40c7a0f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba37dc409a9667325ea5c70307175876e71d7be8cb6ea27ae69b3046858d189",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-16T05:24:32Z",
    "title_canon_sha256": "4302f86a2a2228642337cc17bfb229a3bd9f2a9ce5eb8658b288160704a52d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4332",
    "kind": "arxiv",
    "version": 1
  }
}