Pith Number

pith:SWP3C3OC

pith:2008:SWP3C3OC6E6ZG55JP2P7RVKFKS

not attested not anchored not stored refs pending

Pro-p groups of positive deficiency

Alexander Schmidt, Jonathan A. Hillman

arxiv:0802.3825 v2 · 2008-02-26 · 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{SWP3C3OC6E6ZG55JP2P7RVKFKS}

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	2026-05-18T02:58:11.766878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959fb16dc2f13d9377a97e9ff8d54554a2846739a7f126b698a21b7f137c3b81

Aliases

arxiv: 0802.3825 · arxiv_version: 0802.3825v2 · doi: 10.48550/arxiv.0802.3825 · pith_short_12: SWP3C3OC6E6Z · pith_short_16: SWP3C3OC6E6ZG55J · pith_short_8: SWP3C3OC

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/SWP3C3OC6E6ZG55JP2P7RVKFKS \
  | 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: 959fb16dc2f13d9377a97e9ff8d54554a2846739a7f126b698a21b7f137c3b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a145baee9c618d88742662f11d4a08be030780d4ac2b55f0e35dabd1bcfa22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-02-26T15:02:29Z",
    "title_canon_sha256": "75b3ab9a9dca1c5b43b0a4aa95a4902382c2dd986a0028eb106efc5f9183c436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3825",
    "kind": "arxiv",
    "version": 2
  }
}