Pith Number

pith:JQE5QENK

pith:2016:JQE5QENKP7QIYCHHKCSIE4FWDV

not attested not anchored not stored refs pending

Contraction Groups and Passage to Subgroups and Quotients for Endomorphisms of Totally Disconnected Locally Compact Groups

Helge Gl\"ockner, Stephan Tornier, Timothy P. Bywaters

arxiv:1612.06958 v3 · 2016-12-21 · 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{JQE5QENKP7QIYCHHKCSIE4FWDV}

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	2026-05-18T00:35:10.701467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c09d811aa7fe08c08e750a48270b61d636f34d4299b52718d83bd5fe1812fb3

Aliases

arxiv: 1612.06958 · arxiv_version: 1612.06958v3 · doi: 10.48550/arxiv.1612.06958 · pith_short_12: JQE5QENKP7QI · pith_short_16: JQE5QENKP7QIYCHH · pith_short_8: JQE5QENK

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/JQE5QENKP7QIYCHHKCSIE4FWDV \
  | 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: 4c09d811aa7fe08c08e750a48270b61d636f34d4299b52718d83bd5fe1812fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d07ddfcec37d9fde3e25a34071072ba5cf748f28acdd3429f76526ffc277f1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-21T03:09:54Z",
    "title_canon_sha256": "c70eda81d922e9f07c02a78f1233c696dd09d8cff124a2d5ccd057ac739125fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06958",
    "kind": "arxiv",
    "version": 3
  }
}