Pith Number

pith:5ADKSRAJ

pith:2015:5ADKSRAJH7IC3X5ZAF4UN3CXDV

not attested not anchored not stored refs pending

On the density of abelian l-extensions

Chih-Yun Chuang, Yen-Liang Kuan

arxiv:1509.01345 v1 · 2015-09-04 · 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{5ADKSRAJH7IC3X5ZAF4UN3CXDV}

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	2026-05-18T01:33:57.932649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e806a944093fd02ddfb9017946ec571d5c940a346d8b6b67679382ff50374a5b

Aliases

arxiv: 1509.01345 · arxiv_version: 1509.01345v1 · doi: 10.48550/arxiv.1509.01345 · pith_short_12: 5ADKSRAJH7IC · pith_short_16: 5ADKSRAJH7IC3X5Z · pith_short_8: 5ADKSRAJ

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/5ADKSRAJH7IC3X5ZAF4UN3CXDV \
  | 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: e806a944093fd02ddfb9017946ec571d5c940a346d8b6b67679382ff50374a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a16cd8feb8b744ed0268f335c39ac09b4cb224033dc2bc0c869420403e9bf76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-04T05:41:30Z",
    "title_canon_sha256": "040d661e9079daef0c2675236817ac9f5e9be34f72fc8a5cae93c1a6e88c1f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01345",
    "kind": "arxiv",
    "version": 1
  }
}