Pith Number

pith:AU2CCBZV

pith:2016:AU2CCBZVRUF6SDRABP5ZRCEJUQ

not attested not anchored not stored refs pending

Automatic continuity of abstract homomorphisms between locally compact and Polish groups

Karl Heinrich Hofmann, Linus Kramer, Oskar Braun

arxiv:1611.05801 v3 · 2016-11-17 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AU2CCBZVRUF6SDRABP5ZRCEJUQ}

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	2026-05-17T23:59:03.870083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05342107358d0be90e200bfb988889a43042128c9a190b09312bd0c08eecba52

Aliases

arxiv: 1611.05801 · arxiv_version: 1611.05801v3 · doi: 10.48550/arxiv.1611.05801 · pith_short_12: AU2CCBZVRUF6 · pith_short_16: AU2CCBZVRUF6SDRA · pith_short_8: AU2CCBZV

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/AU2CCBZVRUF6SDRABP5ZRCEJUQ \
  | 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: 05342107358d0be90e200bfb988889a43042128c9a190b09312bd0c08eecba52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd68b11945cb025870c55553e6464e2a61ac0a0531407a6e3592e25ace6dbf9",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-17T17:54:14Z",
    "title_canon_sha256": "d1bbd1b189b0290a99d5f386c5f9a2128d409e6057d487d4c34bb5dd7c0afd58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05801",
    "kind": "arxiv",
    "version": 3
  }
}