Pith Number

pith:QQ4WPDNS

pith:2019:QQ4WPDNSAQEHNSOC2VOT25IPEF

not attested not anchored not stored refs pending

On the minimum degree of the power graph of a finite cyclic group

Binod Kumar Sahoo, Kamal Lochan Patra, Ramesh Prasad Panda

arxiv:1905.10781 v1 · 2019-05-26 · math.CO · 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{QQ4WPDNSAQEHNSOC2VOT25IPEF}

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	2026-05-17T23:45:05.292278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8439678db2040876c9c2d55d3d750f2168cd7ed44b2bd5e104c9f437cd944714

Aliases

arxiv: 1905.10781 · arxiv_version: 1905.10781v1 · doi: 10.48550/arxiv.1905.10781 · pith_short_12: QQ4WPDNSAQEH · pith_short_16: QQ4WPDNSAQEHNSOC · pith_short_8: QQ4WPDNS

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/QQ4WPDNSAQEHNSOC2VOT25IPEF \
  | 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: 8439678db2040876c9c2d55d3d750f2168cd7ed44b2bd5e104c9f437cd944714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed53e13036cc60a6e4fa85da444b2e0babbc0ba59631ce5a0cb4d320e42abf3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-26T10:29:02Z",
    "title_canon_sha256": "4a5e48066b826869d03c95db81ce9127d7d6f4a0839d4ae38aba91fe9fcfdd8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10781",
    "kind": "arxiv",
    "version": 1
  }
}