Pith Number

pith:N33C24O4

pith:2008:N33C24O4XFLAN4SWO2QAQ3SSGF

not attested not anchored not stored refs pending

Separation of Relatively Quasiconvex Subgroups

Eduardo Martinez-Pedroza, Jason Fox Manning

arxiv:0811.4001 v3 · 2008-11-25 · 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{N33C24O4XFLAN4SWO2QAQ3SSGF}

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	2026-05-18T01:20:47.751730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef62d71dcb95606f25676a0086e523148e5511aa4ac7058759ef758d0a450b9

Aliases

arxiv: 0811.4001 · arxiv_version: 0811.4001v3 · doi: 10.48550/arxiv.0811.4001 · pith_short_12: N33C24O4XFLA · pith_short_16: N33C24O4XFLAN4SW · pith_short_8: N33C24O4

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/N33C24O4XFLAN4SWO2QAQ3SSGF \
  | 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: 6ef62d71dcb95606f25676a0086e523148e5511aa4ac7058759ef758d0a450b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f335e89c575cbe90c43c010ce99ef67d28e663d9c05699c6b9314ba46ceae2d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-11-25T00:19:37Z",
    "title_canon_sha256": "0fffb8fdb2a3485cee3e5053d8c063038c7ded144eeadd4b5f2666db94071ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4001",
    "kind": "arxiv",
    "version": 3
  }
}