Pith Number

pith:672Q5VFX

pith:2013:672Q5VFXR3PZLHLKM6N4LM336B

not attested not anchored not stored refs pending

Expansive automorphisms of totally disconnected, locally compact groups

C.R.E. Raja, Helge Glockner

arxiv:1312.5875 v3 · 2013-12-20 · math.DS · 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{672Q5VFXR3PZLHLKM6N4LM336B}

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	2026-05-18T01:29:11.709031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f50ed4b78edf959d6a679bc5b37bf05c8a9f41d84daaf35aaf5d06741521c0

Aliases

arxiv: 1312.5875 · arxiv_version: 1312.5875v3 · doi: 10.48550/arxiv.1312.5875 · pith_short_12: 672Q5VFXR3PZ · pith_short_16: 672Q5VFXR3PZLHLK · pith_short_8: 672Q5VFX

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/672Q5VFXR3PZLHLKM6N4LM336B \
  | 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: f7f50ed4b78edf959d6a679bc5b37bf05c8a9f41d84daaf35aaf5d06741521c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3b66f65570512769211c9eb46221e6502ccf371becf23019ea552498e98eb0f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-20T10:28:27Z",
    "title_canon_sha256": "545026db8070f87c0c7370880c6742d32b8c62d3776958ebd4f41826c77d07e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5875",
    "kind": "arxiv",
    "version": 3
  }
}