Pith Number

pith:RKX7XSK3

pith:2010:RKX7XSK3VJBXAIM5FFUENBEII6

not attested not anchored not stored refs pending

Presenting parabolic subgroups

Fran\c{c}ois Dahmani, Vincent Guirardel

arxiv:1010.1083 v1 · 2010-10-06 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKX7XSK3VJBXAIM5FFUENBEII6}

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	2026-05-18T02:41:50.718788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aaffbc95baa4370219d29684684884792803690e924e696b2e7ec36b1ec8760

Aliases

arxiv: 1010.1083 · arxiv_version: 1010.1083v1 · doi: 10.48550/arxiv.1010.1083 · pith_short_12: RKX7XSK3VJBX · pith_short_16: RKX7XSK3VJBXAIM5 · pith_short_8: RKX7XSK3

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/RKX7XSK3VJBXAIM5FFUENBEII6 \
  | 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: 8aaffbc95baa4370219d29684684884792803690e924e696b2e7ec36b1ec8760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "541da0bd36a132a1423ed16ae674484fd6ac18907ac64282e0351df0ecc20762",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-06T08:19:51Z",
    "title_canon_sha256": "5d2a8e005cec94f2949291b4db35d1359f5f1611f495e2329ad693b86b3c8bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1083",
    "kind": "arxiv",
    "version": 1
  }
}