Pith Number

pith:NO6EHBXO

pith:2017:NO6EHBXOVWH5JKZLAHDTYJOBMT

not attested not anchored not stored refs pending

Generalized Fibonacci groups H(r,n,s) that are connected Labelled Oriented Graph groups

Gerald Williams

arxiv:1705.05634 v2 · 2017-05-16 · 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{NO6EHBXOVWH5JKZLAHDTYJOBMT}

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	2026-05-18T00:31:12.779347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bbc4386eead8fd4ab2b01c73c25c164c7c9d05c0f91f4450476c38425108294

Aliases

arxiv: 1705.05634 · arxiv_version: 1705.05634v2 · doi: 10.48550/arxiv.1705.05634 · pith_short_12: NO6EHBXOVWH5 · pith_short_16: NO6EHBXOVWH5JKZL · pith_short_8: NO6EHBXO

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/NO6EHBXOVWH5JKZLAHDTYJOBMT \
  | 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: 6bbc4386eead8fd4ab2b01c73c25c164c7c9d05c0f91f4450476c38425108294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7a5ed5a386fa4dd3a816cb306a1c6966d5c0f52678535c6b9a1859410fa915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-16T10:41:54Z",
    "title_canon_sha256": "3fb47f63afe1c9b1bda4e686e78ffa9c1c1e830982bc0c9e0299985f0f9ec68b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05634",
    "kind": "arxiv",
    "version": 2
  }
}