Pith Number

pith:JNFM5RPT

pith:2017:JNFM5RPTXYX5MKE3JU7B2NFJ7Q

not attested not anchored not stored refs pending

Spaces of orders of some one-relator groups

Joaquin Brum, Juan Alonso

arxiv:1712.00066 v2 · 2017-11-30 · math.GR · math.DS · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNFM5RPTXYX5MKE3JU7B2NFJ7Q}

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	2026-05-17T23:58:05.296546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4acec5f3be2fd6289b4d3e1d34a9fc2afeaa6d799654a975b14f2ceffd17ea

Aliases

arxiv: 1712.00066 · arxiv_version: 1712.00066v2 · doi: 10.48550/arxiv.1712.00066 · pith_short_12: JNFM5RPTXYX5 · pith_short_16: JNFM5RPTXYX5MKE3 · pith_short_8: JNFM5RPT

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/JNFM5RPTXYX5MKE3JU7B2NFJ7Q \
  | 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: 4b4acec5f3be2fd6289b4d3e1d34a9fc2afeaa6d799654a975b14f2ceffd17ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472c8a6c8e29f8dd50567381defe61523cb642dc1745e4015db3d1d4ed4b1e19",
    "cross_cats_sorted": [
      "math.DS",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-30T20:31:11Z",
    "title_canon_sha256": "66625576c3c7da5393b5556f5b9e5c412e7fb04719b699bcfe360d757f34101c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00066",
    "kind": "arxiv",
    "version": 2
  }
}