Pith Number

pith:H3NIZEFV

pith:2013:H3NIZEFVXTBUNNBFEHGWWWPUIO

not attested not anchored not stored refs pending

On subgroups of finite index in branch groups

Alejandra Garrido, John S. Wilson

arxiv:1301.6419 v2 · 2013-01-28 · 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{H3NIZEFVXTBUNNBFEHGWWWPUIO}

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	2026-05-18T02:51:48.664888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eda8c90b5bcc346b42521cd6b59f44385d1b1a02e32647717e5215b484db071

Aliases

arxiv: 1301.6419 · arxiv_version: 1301.6419v2 · doi: 10.48550/arxiv.1301.6419 · pith_short_12: H3NIZEFVXTBU · pith_short_16: H3NIZEFVXTBUNNBF · pith_short_8: H3NIZEFV

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/H3NIZEFVXTBUNNBFEHGWWWPUIO \
  | 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: 3eda8c90b5bcc346b42521cd6b59f44385d1b1a02e32647717e5215b484db071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60423e07ca4e0423bdec2e6911ae6943ecd44c047198038617959de3b7fd4721",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-28T00:37:24Z",
    "title_canon_sha256": "98805b2577c5bc6e3f03e1aa90fc81b40b2b75148f03799611b7d3b33050f9c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6419",
    "kind": "arxiv",
    "version": 2
  }
}