Pith Number

pith:MP64HVK5

pith:2016:MP64HVK5YSIXEOJ6PI32FENCDA

not attested not anchored not stored refs pending

On commutative $p$-schemes of order $p^4$

Kijung Kim

arxiv:1602.06735 v1 · 2016-02-22 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MP64HVK5YSIXEOJ6PI32FENCDA}

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	2026-05-18T01:20:13.262975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63fdc3d55dc49172393e7a37a291a218237f311b9f660a6064a63bc14e3b8973

Aliases

arxiv: 1602.06735 · arxiv_version: 1602.06735v1 · doi: 10.48550/arxiv.1602.06735 · pith_short_12: MP64HVK5YSIX · pith_short_16: MP64HVK5YSIXEOJ6 · pith_short_8: MP64HVK5

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/MP64HVK5YSIXEOJ6PI32FENCDA \
  | 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: 63fdc3d55dc49172393e7a37a291a218237f311b9f660a6064a63bc14e3b8973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b11d4103d4540d1d9019893a3926e88f5f24a8534b4751a9a79d5ffe215c3b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-22T11:31:53Z",
    "title_canon_sha256": "12afc35fe739379c01aac49ebc46b4a24388e9854c0135838c519c260378c7be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06735",
    "kind": "arxiv",
    "version": 1
  }
}