Pith Number

pith:E3G6WGQP

pith:2016:E3G6WGQPVVGPAE3QAHBKJFVWRW

not attested not anchored not stored refs pending

Computing area in presentations of the trivial group

Timothy Riley

arxiv:1606.08833 v4 · 2016-06-28 · 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{E3G6WGQPVVGPAE3QAHBKJFVWRW}

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	2026-05-18T00:54:52.778281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26cdeb1a0fad4cf0137001c2a496b68da1c19422b44d976b0cb6807dbd3eea58

Aliases

arxiv: 1606.08833 · arxiv_version: 1606.08833v4 · doi: 10.48550/arxiv.1606.08833 · pith_short_12: E3G6WGQPVVGP · pith_short_16: E3G6WGQPVVGPAE3Q · pith_short_8: E3G6WGQP

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/E3G6WGQPVVGPAE3QAHBKJFVWRW \
  | 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: 26cdeb1a0fad4cf0137001c2a496b68da1c19422b44d976b0cb6807dbd3eea58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7463bed4bb962436a43a3708a94096aec1c19ab186e572ef41c430673d185e9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-28T19:35:33Z",
    "title_canon_sha256": "5791b9507d09a8d1d69f205bc1d95f77b3b84fec8cf20d05721443320c707608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08833",
    "kind": "arxiv",
    "version": 4
  }
}