Pith Number

pith:OPXI3QF6

pith:2014:OPXI3QF6WBMYVXLWXPH7LA3NW7

not attested not anchored not stored refs pending

Elementary proof that $\mathbb Z_p^4$ is a DCI-group

Joy Morris

arxiv:1403.4557 v1 · 2014-03-18 · 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{OPXI3QF6WBMYVXLWXPH7LA3NW7}

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	2026-05-18T02:56:05.549893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ee8dc0beb0598add76bbcff5836db7c0fee765b368ae922a7297fd0e4f8c3c

Aliases

arxiv: 1403.4557 · arxiv_version: 1403.4557v1 · doi: 10.48550/arxiv.1403.4557 · pith_short_12: OPXI3QF6WBMY · pith_short_16: OPXI3QF6WBMYVXLW · pith_short_8: OPXI3QF6

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/OPXI3QF6WBMYVXLWXPH7LA3NW7 \
  | 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: 73ee8dc0beb0598add76bbcff5836db7c0fee765b368ae922a7297fd0e4f8c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76dc7f3737030e678b643bc91971c0932f04720729cb531efc9a9d3de0af0312",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-18T18:11:03Z",
    "title_canon_sha256": "cbc583819d8cacedc84b7d70018f18781c6fd71dd515555008bc89cce3a49a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4557",
    "kind": "arxiv",
    "version": 1
  }
}