Pith Number

pith:HCI6E5Y3

pith:2014:HCI6E5Y3OMJ5DZDAYTHQQ3S4LZ

not attested not anchored not stored refs pending

When is the multiplicative group of a field indecomposable?

Keir Lockridge, Sunil Chebolu

arxiv:1407.3481 v1 · 2014-07-13 · math.NT · 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{HCI6E5Y3OMJ5DZDAYTHQQ3S4LZ}

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	2026-05-18T02:47:42.760427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3891e2771b7313d1e460c4cf086e5c5e415e023c3be2b5d81ffc8fbb12dddd04

Aliases

arxiv: 1407.3481 · arxiv_version: 1407.3481v1 · doi: 10.48550/arxiv.1407.3481 · pith_short_12: HCI6E5Y3OMJ5 · pith_short_16: HCI6E5Y3OMJ5DZDA · pith_short_8: HCI6E5Y3

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/HCI6E5Y3OMJ5DZDAYTHQQ3S4LZ \
  | 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: 3891e2771b7313d1e460c4cf086e5c5e415e023c3be2b5d81ffc8fbb12dddd04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda6da45c4e1dead2119b1dc1d85e69b5afa8971822679802c099e56bb7e3744",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-13T15:51:14Z",
    "title_canon_sha256": "a4ce3bf43856b0229e11e237401734dcea2fc75e774b359141063eb7d231f5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3481",
    "kind": "arxiv",
    "version": 1
  }
}