Pith Number

pith:O7HXC7AT

pith:2013:O7HXC7ATTGZR6CA62DFOTPRFD7

not attested not anchored not stored refs pending

Criteria for solvable radical membership via p-elements

Dan Levy, Simon Guest

arxiv:1302.5697 v1 · 2013-02-22 · 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{O7HXC7ATTGZR6CA62DFOTPRFD7}

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	2026-05-18T03:32:46.060893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77cf717c1399b31f081ed0cae9be251fe8cc4ad31da316eac009a2d70c381e43

Aliases

arxiv: 1302.5697 · arxiv_version: 1302.5697v1 · doi: 10.48550/arxiv.1302.5697 · pith_short_12: O7HXC7ATTGZR · pith_short_16: O7HXC7ATTGZR6CA6 · pith_short_8: O7HXC7AT

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/O7HXC7ATTGZR6CA62DFOTPRFD7 \
  | 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: 77cf717c1399b31f081ed0cae9be251fe8cc4ad31da316eac009a2d70c381e43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c9ac7d7afa350c6d6959ced017f4f9f815136e058f6317a48ccab4b45c58616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-22T20:50:29Z",
    "title_canon_sha256": "266144c687564cf2ad0e50b406d4dd589aaec17cb501b2f3bc2b4b730243af87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5697",
    "kind": "arxiv",
    "version": 1
  }
}