Pith Number

pith:5URSO4UU

pith:2017:5URSO4UUSMRO54U4GVRN2WGTOJ

not attested not anchored not stored refs pending

Shalom's property $H_{\mathrm{FD}}$ and extensions by $\mathbb{Z}$ of locally finite groups

J\'er\'emie Brieussel, Tianyi Zheng

arxiv:1706.00707 v3 · 2017-06-02 · math.GR · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5URSO4UUSMRO54U4GVRN2WGTOJ}

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	2026-05-18T00:31:58.799292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed232772949322eef29c3562dd58d3725420e313c871834cb951f85aa028a480

Aliases

arxiv: 1706.00707 · arxiv_version: 1706.00707v3 · doi: 10.48550/arxiv.1706.00707 · pith_short_12: 5URSO4UUSMRO · pith_short_16: 5URSO4UUSMRO54U4 · pith_short_8: 5URSO4UU

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/5URSO4UUSMRO54U4GVRN2WGTOJ \
  | 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: ed232772949322eef29c3562dd58d3725420e313c871834cb951f85aa028a480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4934237ec1ff870e9b3137e3b0a0971a4b9c3cafd9653e9406068e79be60879f",
    "cross_cats_sorted": [
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-02T14:49:51Z",
    "title_canon_sha256": "d920b5db18c5e8e7affd9d19e543987335495f953492d3c5f27c6401fa2dc2ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00707",
    "kind": "arxiv",
    "version": 3
  }
}