Pith Number

pith:X3KO5GGS

pith:2015:X3KO5GGS2BZFOIHVHI7ZIGJ5CO

not attested not anchored not stored refs pending

The generalised word problem for subgroups of hyperbolic groups

Derek F. Holt, Sarah Rees

arxiv:1505.02397 v2 · 2015-05-10 · 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{X3KO5GGS2BZFOIHVHI7ZIGJ5CO}

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	2026-05-18T01:28:05.101879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed4ee98d2d0725720f53a3f94193d13b89da2a3effd1555b5e2a6185bec5b79

Aliases

arxiv: 1505.02397 · arxiv_version: 1505.02397v2 · doi: 10.48550/arxiv.1505.02397 · pith_short_12: X3KO5GGS2BZF · pith_short_16: X3KO5GGS2BZFOIHV · pith_short_8: X3KO5GGS

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/X3KO5GGS2BZFOIHVHI7ZIGJ5CO \
  | 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: bed4ee98d2d0725720f53a3f94193d13b89da2a3effd1555b5e2a6185bec5b79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f537d9af2dd5553f60ef0fd17d2e68ad0e572cef879577808036cdb5c4bd9cfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-10T15:38:15Z",
    "title_canon_sha256": "7491e5101336edba8abd4bfec4818ff9644ba8d1c1cae4ddcc126f7be25ebdd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02397",
    "kind": "arxiv",
    "version": 2
  }
}