Pith Number

pith:NZHT6NRT

pith:2015:NZHT6NRTDUYEXZEUHBSCZ5YHKM

not attested not anchored not stored refs pending

On the spectra of strong power graphs of finite groups

Xuanlong Ma

arxiv:1506.07817 v1 · 2015-06-17 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZHT6NRTDUYEXZEUHBSCZ5YHKM}

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	2026-05-18T01:38:50.729771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e4f3f36331d304be49438642cf7075326198a990e53fad6a6f5e87bd6168541

Aliases

arxiv: 1506.07817 · arxiv_version: 1506.07817v1 · doi: 10.48550/arxiv.1506.07817 · pith_short_12: NZHT6NRTDUYE · pith_short_16: NZHT6NRTDUYEXZEU · pith_short_8: NZHT6NRT

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/NZHT6NRTDUYEXZEUHBSCZ5YHKM \
  | 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: 6e4f3f36331d304be49438642cf7075326198a990e53fad6a6f5e87bd6168541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6566e6cd2695b1f5d8c249f0347e8a436bdc3588e0e36fe7362fe415b52f44c3",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-17T01:00:05Z",
    "title_canon_sha256": "6a970d0d22402d442423d3e23c6ec70d4a603396ac47f23477e95c37a837f174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07817",
    "kind": "arxiv",
    "version": 1
  }
}