Pith Number

pith:AFUBO4P4

pith:2017:AFUBO4P4AKTQYWAEESGY5YXFSG

not attested not anchored not stored refs pending

Weak separation properties for closed subgroups of locally compact groups

Zsolt Tanko

arxiv:1703.02909 v1 · 2017-03-08 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFUBO4P4AKTQYWAEESGY5YXFSG}

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	2026-05-18T00:49:05.339767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01681771fc02a70c5804248d8ee2e591a7d28b2191e98dd70a8de1be01bcfb33

Aliases

arxiv: 1703.02909 · arxiv_version: 1703.02909v1 · doi: 10.48550/arxiv.1703.02909 · pith_short_12: AFUBO4P4AKTQ · pith_short_16: AFUBO4P4AKTQYWAE · pith_short_8: AFUBO4P4

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/AFUBO4P4AKTQYWAEESGY5YXFSG \
  | 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: 01681771fc02a70c5804248d8ee2e591a7d28b2191e98dd70a8de1be01bcfb33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46186479934e6ef3d41f0ff5e30942ea6f3738e7be741cb49b4aeb0c2f01b190",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-08T16:48:00Z",
    "title_canon_sha256": "e1c66eb5c2b6ec931c8129a6a9ec41e265b716779852a5250bb28ce5d28b5d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02909",
    "kind": "arxiv",
    "version": 1
  }
}