Pith Number

pith:4GBGNWAL

pith:2015:4GBGNWALZVHHDHKASGLTVHKWRN

not attested not anchored not stored refs pending

Subgroups of Relatively Hyperbolic Groups of Bredon Cohomological Dimension 2

Eduardo Martinez-Pedroza

arxiv:1508.04865 v6 · 2015-08-20 · math.GR · math.AT · 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{4GBGNWALZVHHDHKASGLTVHKWRN}

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	2026-05-18T00:43:30.892441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e18266d80bcd4e719d4091973a9d568b6a9bf1cd8121c45e1c56808b710e9e90

Aliases

arxiv: 1508.04865 · arxiv_version: 1508.04865v6 · doi: 10.48550/arxiv.1508.04865 · pith_short_12: 4GBGNWALZVHH · pith_short_16: 4GBGNWALZVHHDHKA · pith_short_8: 4GBGNWAL

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/4GBGNWALZVHHDHKASGLTVHKWRN \
  | 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: e18266d80bcd4e719d4091973a9d568b6a9bf1cd8121c45e1c56808b710e9e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977f131b6816edbb1268b7eabd9e919ba067a562ef5f1f3c14ed512afd9e8fd2",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-20T03:26:43Z",
    "title_canon_sha256": "db0433bc9a58b214806e680b259756c1078c270923fbfe3ba9d0d664fe50aeae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04865",
    "kind": "arxiv",
    "version": 6
  }
}