Pith Number

pith:PSGJOXA4

pith:2016:PSGJOXA4TSW2VRFNYCC4STR6JG

not attested not anchored not stored refs pending

Locally compact groups approximable by subgroups isomorphic to $\mathbb Z$ or $\mathbb R$

Hatem Hamrouni, Karl H. Hofmann

arxiv:1604.05885 v1 · 2016-04-20 · 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{PSGJOXA4TSW2VRFNYCC4STR6JG}

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	2026-05-18T01:16:34.348292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c8c975c1c9cadaac4adc085c94e3e49b02a4fa385e497f68d3138f0cf8d2c4b

Aliases

arxiv: 1604.05885 · arxiv_version: 1604.05885v1 · doi: 10.48550/arxiv.1604.05885 · pith_short_12: PSGJOXA4TSW2 · pith_short_16: PSGJOXA4TSW2VRFN · pith_short_8: PSGJOXA4

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/PSGJOXA4TSW2VRFNYCC4STR6JG \
  | 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: 7c8c975c1c9cadaac4adc085c94e3e49b02a4fa385e497f68d3138f0cf8d2c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6fb3c6ac7792bc1035e028663db3bf43ee6d04dd8ef75a20b05b5d405b3493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-04-20T10:15:01Z",
    "title_canon_sha256": "ee097b66ed7e922a77ae79806ce8f97d5bdde926b6533936cafbed6037eafb62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05885",
    "kind": "arxiv",
    "version": 1
  }
}