Pith Number

pith:KCIKTQOM

pith:2012:KCIKTQOMSNG6XYVET4CD4KPNOE

not attested not anchored not stored refs pending

Ampleness in the free group

Abderezak Ould Houcine, Katrin Tent

arxiv:1205.0929 v2 · 2012-05-04 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCIKTQOMSNG6XYVET4CD4KPNOE}

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	2026-05-18T03:55:46.246356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5090a9c1cc934debe2a49f043e29ed7123a17aedb1fcd5b33abb7b1613352f47

Aliases

arxiv: 1205.0929 · arxiv_version: 1205.0929v2 · doi: 10.48550/arxiv.1205.0929 · pith_short_12: KCIKTQOMSNG6 · pith_short_16: KCIKTQOMSNG6XYVE · pith_short_8: KCIKTQOM

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/KCIKTQOMSNG6XYVET4CD4KPNOE \
  | 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: 5090a9c1cc934debe2a49f043e29ed7123a17aedb1fcd5b33abb7b1613352f47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a1640356d9885cd1b5c9d24a84600c05465dc87be87fb46e1362246991fdf0",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-04T12:08:12Z",
    "title_canon_sha256": "0638ea9ce55ddb5b41062a5d9383f79b46e7ccf8926364ade2e181419f9bc1e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0929",
    "kind": "arxiv",
    "version": 2
  }
}