Pith Number

pith:P5S3S6CR

pith:2010:P5S3S6CRTTIGRDXH25S6ZGW4QI

not attested not anchored not stored refs pending

Simple locally compact groups acting on trees and their germs of automorphisms

Pierre-Emmanuel Caprace, Tom De Medts

arxiv:1002.0220 v4 · 2010-02-01 · 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{P5S3S6CRTTIGRDXH25S6ZGW4QI}

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	2026-05-18T04:04:28.639881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f65b978519cd0688ee7d765ec9adc822fb4fc7eceb62627ff6df56cc56702a3

Aliases

arxiv: 1002.0220 · arxiv_version: 1002.0220v4 · doi: 10.48550/arxiv.1002.0220 · pith_short_12: P5S3S6CRTTIG · pith_short_16: P5S3S6CRTTIGRDXH · pith_short_8: P5S3S6CR

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/P5S3S6CRTTIGRDXH25S6ZGW4QI \
  | 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: 7f65b978519cd0688ee7d765ec9adc822fb4fc7eceb62627ff6df56cc56702a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22037233eb68bd3492693c0b899b02a0717f1cb73291595ce4e01f7975d018d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-02-01T10:31:22Z",
    "title_canon_sha256": "3ec6c1dd9433fe70e9e358d002d04502afd58b1972eb4eff46c2237e561e5185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0220",
    "kind": "arxiv",
    "version": 4
  }
}