Pith Number

pith:6TGZ744F

pith:2004:6TGZ744FLYPA3PGCVV2WSMTBRU

not attested not anchored not stored refs pending

A finitely presented group with unbounded dead-end depth

Sean Cleary, Tim R. Riley

arxiv:math/0406443 v3 · 2004-06-22 · 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{6TGZ744FLYPA3PGCVV2WSMTBRU}

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	2026-05-18T04:42:22.466262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4cd9ff3855e1e0dbcc2ad756932618d085a481c887079f3721a3721bccabac2

Aliases

arxiv: math/0406443 · arxiv_version: math/0406443v3 · doi: 10.48550/arxiv.math/0406443 · pith_short_12: 6TGZ744FLYPA · pith_short_16: 6TGZ744FLYPA3PGC · pith_short_8: 6TGZ744F

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/6TGZ744FLYPA3PGCVV2WSMTBRU \
  | 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: f4cd9ff3855e1e0dbcc2ad756932618d085a481c887079f3721a3721bccabac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c0c462102977f4ad66ee469888c8f8c6185f2ffddadeced91f15d12b403d6b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-06-22T19:00:23Z",
    "title_canon_sha256": "66db1edf729b49559e5315f56fb53d11ca7d82209ef6b575202a197da8feef7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406443",
    "kind": "arxiv",
    "version": 3
  }
}