Pith Number

pith:HJVG56OV

pith:2016:HJVG56OV3OISXGQCZPOM2O5NXD

not attested not anchored not stored refs pending

An axiomatizable profinite group with infinitely many open subgroups of index 2

Mark Shusterman, Or Ben Porath

arxiv:1608.02085 v1 · 2016-08-06 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJVG56OV3OISXGQCZPOM2O5NXD}

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	2026-05-18T01:09:41.005275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6a6ef9d5db912b9a02cbdccd3badb8d9738f6541f6bafb54bffa2e9ba2778d

Aliases

arxiv: 1608.02085 · arxiv_version: 1608.02085v1 · doi: 10.48550/arxiv.1608.02085 · pith_short_12: HJVG56OV3OIS · pith_short_16: HJVG56OV3OISXGQC · pith_short_8: HJVG56OV

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/HJVG56OV3OISXGQCZPOM2O5NXD \
  | 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: 3a6a6ef9d5db912b9a02cbdccd3badb8d9738f6541f6bafb54bffa2e9ba2778d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c625cc86183df5c32c12302c68b8fe3f0fc1c65213f34172851c8b192330d564",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-06T09:36:09Z",
    "title_canon_sha256": "abed455ae2827679a1f07c6b92c89cda68d09c0debf459b90c22b2e3915b943e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02085",
    "kind": "arxiv",
    "version": 1
  }
}