Pith Number

pith:STQE2T5Q

pith:2017:STQE2T5QNQ2EEXKSV3C27ZBNE4

not attested not anchored not stored refs pending

Short Laws for Finite Groups and Residual Finiteness Growth

Andreas Thom, Henry Bradford

arxiv:1701.08121 v3 · 2017-01-27 · 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{STQE2T5QNQ2EEXKSV3C27ZBNE4}

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	2026-05-18T00:43:17.994288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94e04d4fb06c34425d52aec5afe42d27088cc4d3b8e2d86410274a875cf15437

Aliases

arxiv: 1701.08121 · arxiv_version: 1701.08121v3 · doi: 10.48550/arxiv.1701.08121 · pith_short_12: STQE2T5QNQ2E · pith_short_16: STQE2T5QNQ2EEXKS · pith_short_8: STQE2T5Q

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/STQE2T5QNQ2EEXKSV3C27ZBNE4 \
  | 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: 94e04d4fb06c34425d52aec5afe42d27088cc4d3b8e2d86410274a875cf15437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6818febd8666e3690286647da07c69494d4d9624bec2bf8e94f8341dc1e6a42c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-01-27T17:16:45Z",
    "title_canon_sha256": "1e875f7c99f4b460c8082fc8c89531f13729d6bbe3798230847d7039aa215f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08121",
    "kind": "arxiv",
    "version": 3
  }
}