Pith Number

pith:TVFJX5BT

pith:2017:TVFJX5BT3VYUEICFRKFTY6XRFA

not attested not anchored not stored refs pending

Lambda number of the power graph of a finite group

Kaishun Wang, Min Feng, Xuanlong Ma

arxiv:1707.09586 v1 · 2017-07-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVFJX5BT3VYUEICFRKFTY6XRFA}

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	2026-05-18T00:39:10.872796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d4a9bf433dd714220458a8b3c7af1281abcc6ed91d6cf7d90ad8e69130c1186

Aliases

arxiv: 1707.09586 · arxiv_version: 1707.09586v1 · doi: 10.48550/arxiv.1707.09586 · pith_short_12: TVFJX5BT3VYU · pith_short_16: TVFJX5BT3VYUEICF · pith_short_8: TVFJX5BT

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/TVFJX5BT3VYUEICFRKFTY6XRFA \
  | 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: 9d4a9bf433dd714220458a8b3c7af1281abcc6ed91d6cf7d90ad8e69130c1186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f01b095cb8634954532c48763b41f8629744da6cd23eb8a7375bf7e5998321a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-30T06:47:47Z",
    "title_canon_sha256": "9e8dfa9b127936e84da6e81e16d9e4e15a70528173f2c93c07bfdf616bfccab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09586",
    "kind": "arxiv",
    "version": 1
  }
}