Pith Number

pith:HC6PTE2D

pith:2016:HC6PTE2DYGGJLSNN7THVVBPXMZ

not attested not anchored not stored refs pending

Groups whose character degree graph has diameter three

Carlo Casolo, Emanuele Pacifici, Lucia Sanus, Silvio Dolfi

arxiv:1607.05038 v1 · 2016-07-18 · 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{HC6PTE2DYGGJLSNN7THVVBPXMZ}

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	2026-05-18T01:10:56.073482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38bcf99343c18c95c9adfccf5a85f766582a362f42d879a9a07842802cd9f0ef

Aliases

arxiv: 1607.05038 · arxiv_version: 1607.05038v1 · doi: 10.48550/arxiv.1607.05038 · pith_short_12: HC6PTE2DYGGJ · pith_short_16: HC6PTE2DYGGJLSNN · pith_short_8: HC6PTE2D

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/HC6PTE2DYGGJLSNN7THVVBPXMZ \
  | 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: 38bcf99343c18c95c9adfccf5a85f766582a362f42d879a9a07842802cd9f0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12768a133a608fd14f966271fb4086f3acfbde404f9d1b551eb29ab02a8e1350",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-18T12:16:19Z",
    "title_canon_sha256": "d09430042e9a1f11c46eb6432587eaccb8fbbefb1c8f2d738cd17442645928e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05038",
    "kind": "arxiv",
    "version": 1
  }
}