Pith Number

pith:VUXPRFAE

pith:2007:VUXPRFAE2JUFC377FQCSAENUCJ

not attested not anchored not stored refs pending

Finitely approximable groups and actions Part I: The Ribes--Zalesski\u\i{} property

Christian Rosendal

arxiv:0711.1362 v2 · 2007-11-08 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUXPRFAE2JUFC377FQCSAENUCJ}

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	2026-05-18T04:24:06.534069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2ef89404d268516fff2c052011b41248a849e263ff4a7a67339843d6ff0637

Aliases

arxiv: 0711.1362 · arxiv_version: 0711.1362v2 · doi: 10.48550/arxiv.0711.1362 · pith_short_12: VUXPRFAE2JUF · pith_short_16: VUXPRFAE2JUFC377 · pith_short_8: VUXPRFAE

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/VUXPRFAE2JUFC377FQCSAENUCJ \
  | 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: ad2ef89404d268516fff2c052011b41248a849e263ff4a7a67339843d6ff0637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f9b47d266ef46eaafa45ab3c54de471b1939bff86939174002a6622ba8fc9bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2007-11-08T21:09:03Z",
    "title_canon_sha256": "e9fcee45c7bbbc9b237afd94f7c5b4ca740f3667c002acfba56a0992df00c331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1362",
    "kind": "arxiv",
    "version": 2
  }
}