Pith Number

pith:H6WSPVLI

pith:2013:H6WSPVLIW7S5UDRVVRB6DMPN3D

not attested not anchored not stored refs pending

Finiteness of profinite groups with a rational probabilistic zeta function

Duong Hoang Dung

arxiv:1305.4911 v2 · 2013-05-21 · 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{H6WSPVLIW7S5UDRVVRB6DMPN3D}

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	2026-05-18T03:03:56.790072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fad27d568b7e5da0e35ac43e1b1edd8deb58c2f46c84ae00426c164d047ab1f

Aliases

arxiv: 1305.4911 · arxiv_version: 1305.4911v2 · doi: 10.48550/arxiv.1305.4911 · pith_short_12: H6WSPVLIW7S5 · pith_short_16: H6WSPVLIW7S5UDRV · pith_short_8: H6WSPVLI

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/H6WSPVLIW7S5UDRVVRB6DMPN3D \
  | 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: 3fad27d568b7e5da0e35ac43e1b1edd8deb58c2f46c84ae00426c164d047ab1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad64a91d91bfc3a122a2d00bafdfc20b1c702dd11cf94b5b59654fd3f90212c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-21T18:42:03Z",
    "title_canon_sha256": "b8349a140a418a18ca565d00ad6c3542ed40596d3dce510a82c1508ca3c04e12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4911",
    "kind": "arxiv",
    "version": 2
  }
}