Pith Number

pith:63RZ6FLQ

pith:2009:63RZ6FLQXHDKUUF4F7ILZGP62H

not attested not anchored not stored refs pending

L'espace des sous-groupes ferm\'es de RxZ

Thomas Haettel

arxiv:0905.3290 v1 · 2009-05-20 · 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{63RZ6FLQXHDKUUF4F7ILZGP62H}

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	2026-05-18T02:41:51.255687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e39f1570b9c6aa50bc2fd0bc99fed1c1d244d456fe0b4e25ad3ec949235aaf

Aliases

arxiv: 0905.3290 · arxiv_version: 0905.3290v1 · doi: 10.48550/arxiv.0905.3290 · pith_short_12: 63RZ6FLQXHDK · pith_short_16: 63RZ6FLQXHDKUUF4 · pith_short_8: 63RZ6FLQ

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/63RZ6FLQXHDKUUF4F7ILZGP62H \
  | 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: f6e39f1570b9c6aa50bc2fd0bc99fed1c1d244d456fe0b4e25ad3ec949235aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c7a24659ccac977cb7ba3e62ef8a3ae4ef882560277772ede8ec69531793dbd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-05-20T12:20:48Z",
    "title_canon_sha256": "081240732c9bcfd657b69a831e10c169735d6d4b0c22301ccac59fc983e4d7ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3290",
    "kind": "arxiv",
    "version": 1
  }
}