Pith Number

pith:6FXOFVP7

pith:2018:6FXOFVP7KHIS44V7GN626X6WKQ

not attested not anchored not stored refs pending

Bounding the number of vertices in the degree graph of a finite group

Emanuele Pacifici, Lucia Sanus, Silvio Dolfi, Zeinab Akhlaghi

arxiv:1811.01674 v1 · 2018-11-05 · 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{6FXOFVP7KHIS44V7GN626X6WKQ}

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	2026-05-18T00:01:33.589097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f16ee2d5ff51d12e72bf337daf5fd6543049f6bad7abcc4416a81623b439fac2

Aliases

arxiv: 1811.01674 · arxiv_version: 1811.01674v1 · doi: 10.48550/arxiv.1811.01674 · pith_short_12: 6FXOFVP7KHIS · pith_short_16: 6FXOFVP7KHIS44V7 · pith_short_8: 6FXOFVP7

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/6FXOFVP7KHIS44V7GN626X6WKQ \
  | 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: f16ee2d5ff51d12e72bf337daf5fd6543049f6bad7abcc4416a81623b439fac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e7a33c15fa09dcc443a2bd418417307ea488a8e381efea827fa954aa3b33ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-05T13:39:48Z",
    "title_canon_sha256": "0b800e37f1ca593f133ec4b808b65183363b0635fbe0228b006e4acc5a0552a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01674",
    "kind": "arxiv",
    "version": 1
  }
}