Pith Number

pith:C3J6GQVH

pith:2013:C3J6GQVHV3JNX4FO5HSB5T3G2E

not attested not anchored not stored refs pending

Groups in which some primary subgroups are weakly s-supplemented?

Baojun LI

arxiv:1306.2689 v1 · 2013-06-12 · 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{C3J6GQVHV3JNX4FO5HSB5T3G2E}

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	2026-05-18T03:21:09.752536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16d3e342a7aed2dbf0aee9e41ecf66d108215db80607e28563b6bf55f24202d5

Aliases

arxiv: 1306.2689 · arxiv_version: 1306.2689v1 · doi: 10.48550/arxiv.1306.2689 · pith_short_12: C3J6GQVHV3JN · pith_short_16: C3J6GQVHV3JNX4FO · pith_short_8: C3J6GQVH

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/C3J6GQVHV3JNX4FO5HSB5T3G2E \
  | 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: 16d3e342a7aed2dbf0aee9e41ecf66d108215db80607e28563b6bf55f24202d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b02648442de85de3de81b0c4c984e327eabde126689fc03684181d2353c104",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-12T01:40:39Z",
    "title_canon_sha256": "77e15b6377ae8518b68439a1ddef5505fd17f0b53c9f86168b6b76f04be26fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2689",
    "kind": "arxiv",
    "version": 1
  }
}