Pith Number

pith:5NTYH5VN

pith:2014:5NTYH5VNOLGXBGSHC7R5UBIMO2

not attested not anchored not stored refs pending

On Orders in Number Fields: Picard Groups, Ring Class Fields and Applications

Chang Lv, Yingpu Deng

arxiv:1405.5776 v3 · 2014-05-22 · 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{5NTYH5VNOLGXBGSHC7R5UBIMO2}

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	2026-05-18T00:55:58.754618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb6783f6ad72cd709a4717e3da050c76ab5dc9fa98c17062380604fd626e2779

Aliases

arxiv: 1405.5776 · arxiv_version: 1405.5776v3 · doi: 10.48550/arxiv.1405.5776 · pith_short_12: 5NTYH5VNOLGX · pith_short_16: 5NTYH5VNOLGXBGSH · pith_short_8: 5NTYH5VN

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/5NTYH5VNOLGXBGSHC7R5UBIMO2 \
  | 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: eb6783f6ad72cd709a4717e3da050c76ab5dc9fa98c17062380604fd626e2779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c07f4496f55200013ba341fd5c883828ce69cb9b31234ce242b4dcb80232c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-22T14:50:39Z",
    "title_canon_sha256": "138a64bb861d47cceb1b7f092134c677a19e03c6cc82d10b7bd5e1c668ea4f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5776",
    "kind": "arxiv",
    "version": 3
  }
}